Influence of Ambient Pressure on the Jet-Ignition Combustion Performance and Flame Propagation Characteristics of Gasoline in a Constant Volume Combustion Chamber

: Based on a constant volume combustion chamber, the initial ambient pressure effect on gasoline combustion performance and flame propagation of the active and passive pre-chamber ignition systems were studied. Compared with the passive pre-chamber, the active pre-chamber can significantly expand the lean combustion limit from 1.2 to 1.5, enhance the ignition and combustion performance, and speed up the combustion of the main combustion chamber. At slightly lean combustion conditions, the heat release performance has a positive correlation with the initial ambient pressure. As the premixed λ increases, the heat release performance and the initial ambient pressure begin to become negatively correlated. Ignition delay can be decreased by approximately 50% at an initial pressure of 0.75 MPa, premixed lambda of 1.2 with APC compared with PPC. The high ambient pressure (1.0 MPa) in the constant volume chamber greatly reduces the mixture entrainment ability of the jet flame at lean combustion conditions, thereby reducing the combustion speed and peak heat release rate.


Introduction
Under the target of "Carbon Peak" and "Carbon Neutral", hybrid electric vehicles (HEV) are increasingly favored by enterprises and consumers because of their fuel-electric synergistic technology, which offers good fuel efficiency and low emissions while considering the range of vehicles.Compared with stoichiometric combustion, lean combustion can improve the specific heat ratio of the mixture [1][2][3][4], resulting in improved engine thermal efficiency.Still, it faces the challenges of ignition difficulty and low flame propagation.The pre-chamber ignition system is recognized as one of the most reliable methods to achieve lean combustion [5].
The existing pre-chamber jet ignition method includes active pre-chamber and passive pre-chamber, while the active pre-chamber has been proved to achieve ultra-lean mixture combustion with lambda (λ) greater than 2.0 [6].Compared with the active pre-chamber, the passive pre-chamber does not significantly improve the lean combustion limit [7].This is mainly due to insufficient scavenging inside the pre-chamber, making it difficult for the mixture near the spark plug electrode to achieve optimal ignition conditions.At the same time, the peak temperature of the mixture after ignition is relatively low at lean combustion conditions; the NOx emissions will be significantly reduced [8,9], even closing the zero level (<10 ppm) [10].According to research by Jamrozik et al. [6], it could achieve a small non-repeatability of cycles and low NO X emissions ultra-lean combustion.
Changes in engine load mainly affect the ambient density and pressure inside the cylinder, which directly affect the flame propagation in the space.The in-cylinder flame formed by jet ignition propagates is similar to the fuel-air entrainment of the premix combustion [11].The turbulent flame front induced by the jet flame develops outward and consumes the surrounding mixture.The amount of jet flame entrainment is the main factor affecting jet ignition performance [12].The speed of the jet flame will increase as the ambient pressure increases [13], but it will not significantly affect the laminar flame stability [14].Meanwhile, the low-flow injection inside the pre-chamber is mainly determined by injection pressure, timing, and duration.Building a mixture with a suitable equivalence ratio distribution in the pre-chamber before the spark plug ignition is the prerequisite for optimizing jet ignition performance.Chunhuan Zhang [15] designed an active pre-chamber ignition system for a large gas-fueled engine.The fuel mixing process in the pre-combustion chamber and the propagation process of the jet flame in the pre-chamber and the main combustion chamber were analyzed.Meanwhile, the effects of the injection strategies of the pre-chamber on the combustion of the system were investigated.It was found that the combustion period in the pre-chamber was the shortest when the equivalent ratio of the pre-chamber was in the range of 1.04-1.11.
In this paper, based on a constant volume combustion chamber (CVCC), the influence of different initial ambient pressures and lambda on flame propagation and the combustion characteristics of active/passive pre-chamber (APC/PPC) were studied.

Experimental Setup 2.1. Pre-Chamber Design and Experiment Operating Conditions
Figure 1 shows the schematic of the pre-chamber (PC) with a narrow bottom and six jet nozzles, forming an angle of 45 • with the horizontal direction.The total volume in the pre-chamber is about 2.7 cm 3 .
Energies 2024, 17, x FOR PEER REVIEW 2 of 18 conditions.At the same time, the peak temperature of the mixture after ignition is relatively low at lean combustion conditions; the NOx emissions will be significantly reduced [8,9], even closing the zero level (<10 ppm) [10].According to research by Jamrozik et al. [6], it could achieve a small non-repeatability of cycles and low NOX emissions ultra-lean combustion.
Changes in engine load mainly affect the ambient density and pressure inside the cylinder, which directly affect the flame propagation in the space.The in-cylinder flame formed by jet ignition propagates is similar to the fuel-air entrainment of the premix combustion [11].The turbulent flame front induced by the jet flame develops outward and consumes the surrounding mixture.The amount of jet flame entrainment is the main factor affecting jet ignition performance [12].The speed of the jet flame will increase as the ambient pressure increases [13], but it will not significantly affect the laminar flame stability [14].Meanwhile, the low-flow injection inside the pre-chamber is mainly determined by injection pressure, timing, and duration.Building a mixture with a suitable equivalence ratio distribution in the pre-chamber before the spark plug ignition is the prerequisite for optimizing jet ignition performance.Chunhuan Zhang [15] designed an active pre-chamber ignition system for a large gas-fueled engine.The fuel mixing process in the pre-combustion chamber and the propagation process of the jet flame in the pre-chamber and the main combustion chamber were analyzed.Meanwhile, the effects of the injection strategies of the pre-chamber on the combustion of the system were investigated.It was found that the combustion period in the pre-chamber was the shortest when the equivalent ratio of the pre-chamber was in the range of 1.04-1.11.
In this paper, based on a constant volume combustion chamber (CVCC), the influence of different initial ambient pressures and lambda on flame propagation and the combustion characteristics of active/passive pre-chamber (APC/PPC) were studied.

Pre-Chamber Design and Experiment Operating Conditions
Figure 1 shows the schematic of the pre-chamber (PC) with a narrow bottom and six jet nozzles, forming an angle of 45° with the horizontal direction.The total volume in the pre-chamber is about 2.7 cm 3 .Figure 2 shows the constant volume combustion chamber system, including a cylindrical CVCC, high-pressure gasoline injection system, spark ignition system, high-frequency pressure measurement system, and high-speed photography system.The combustion chamber of the CVCC is a horizontal Ф 80 × 132 mm cylinder.One end of the CVCC is equipped with optical quartz glass, and the other end is equipped with a steel Figure 2 shows the constant volume combustion chamber system, including a cylindrical CVCC, high-pressure gasoline injection system, spark ignition system, high-frequency pressure measurement system, and high-speed photography system.The combustion chamber of the CVCC is a horizontal Φ 80 × 132 mm cylinder.One end of the CVCC is equipped with optical quartz glass, and the other end is equipped with a steel cover installed in the pre-chamber.The CVCC is equipped with a heating system, which could be used to heat the combustion chamber.
Energies 2024, 17, 3101 3 of 17 raphy system, which includes a high-speed camera (Phantom VEO 610, Phantom, Shanghai, China) and a computer with camera control software.The camera is synchronously triggered with the spark ignition.The high-pressure injection system includes a gasoline tank, a fuel pump, a low-flow PC injector, and a main chamber (MC) injector.The initial ambient pressure inside the CVCC is controlled through a pressure-reducing valve and pressure gauge.Table 1 shows the detailed experimental operating parameters.The injector in the pre-chamber maintains a minimum stable injection duration corresponding to 0.64 mg.The premixed λ is experimentally in a gradient of 0.1 from stoichiometric combustion to the lean limit of different jet ignition methods.Figure 3 shows the gasoline mixture preparation and signal control during the experiment.To ensure that the gasoline fuel is relatively uniformly mixed in the main chamber of CVCC, the CVCC is heated to 373 K before the experiment.Then, a sufficient amount of fuel is injected in the premixing stage by the MC injector according to the condition.The control system of ignition and injection was developed in-house using NI Compact RIO and LabVIEW.The pressure data acquisition system consists of a pressure sensor (Kistler 6115CF-4CQ07-4-1, Kistler, Shanghai, China), a charge amplifier (Kistler 5064, Kistler, Shanghai, China), and a computer with a data acquisition LabVIEW 2013 program.The spark and flame development are directly captured by a high-speed photography system, which includes a high-speed camera (Phantom VEO 610, Phantom, Shanghai, China) and a computer with camera control software.The camera is synchronously triggered with the spark ignition.The high-pressure injection system includes a gasoline tank, a fuel pump, a low-flow PC injector, and a main chamber (MC) injector.The initial ambient pressure inside the CVCC is controlled through a pressure-reducing valve and pressure gauge.
Table 1 shows the detailed experimental operating parameters.The injector in the pre-chamber maintains a minimum stable injection duration corresponding to 0.64 mg.The premixed λ is experimentally in a gradient of 0.1 from stoichiometric combustion to the lean limit of different jet ignition methods.Figure 3 shows the gasoline mixture preparation and signal control during the experiment.To ensure that the gasoline fuel is relatively uniformly mixed in the main chamber of CVCC, the CVCC is heated to 373 K before the experiment.Then, a sufficient amount of fuel is injected in the premixing stage by the MC injector according to the condition.Subsequently, the corresponding mass of air is charged and left for more than 180 s as a premix interval.It is ignited after the premix interval with PPC.When the ignition method is APC, there is an injection process with a PC injector after the premix interval.The spark delay in the PC is set at 1 ms.
Subsequently, the corresponding mass of air is charged and left for more than 180 s as a premix interval.It is ignited after the premix interval with PPC.When the ignition method is APC, there is an injection process with a PC injector after the premix interval.The spark delay in the PC is set at 1 ms.

Combustion Performance Parameters
Since the total amount of fuel differs at different λ and ambient pressure conditions, the calculated integral heat release is challenging to evaluate intuitively.The heat release rate of CVCC is calculated using the isentropic index algorithm that ignores the heat exchange of the chamber.As shown in Equation ( 1), the calculated heat release result is lower than the actual heat release.
κ is the polytropic coefficient, P is the pressure, and V is the volume of the CVCC.The integral heat release (IHR) is the integral of Qi by time, 5% IHR is defined as the ignition delay period, and 5% to 90% IHR is defined as the main combustion period.
The premixing time in the CVCC is long enough.It can be considered that the gasoline fuel in the chamber is premixed homogeneously.The theoretical PC excess air coefficient can be calculated by referring to the method of Shah et al. [16], as shown in Equation (2) below: where R is the volume ratio of the PC and MC,  is the premixed fuel mass in the MC,  is the low-fuel mass injected into the PC.
According to a large number of research results, the combustion efficiency of lean combustion is generally higher than that of stoichiometric combustion [17].Therefore, this article uses the heat release change ratio RHR to evaluate the heat release at different premixed λ conditions, calculated according to the proportion of stoichiometric combustion, as shown in Equation (3).
Q is the integral heat release calculated from a specific operating condition, m is the actual fuel injection amount at the working condition, Qsto is the integral heat release at stoichiometric combustion conditions, and msto is the fuel injection mass at stoichiometric combustion conditions.

Combustion Performance Parameters
Since the total amount of fuel differs at different λ and ambient pressure conditions, the calculated integral heat release is challenging to evaluate intuitively.The heat release rate of CVCC is calculated using the isentropic index algorithm that ignores the heat exchange of the chamber.As shown in Equation ( 1), the calculated heat release result is lower than the actual heat release.
κ is the polytropic coefficient, P is the pressure, and V is the volume of the CVCC.The integral heat release (IHR) is the integral of Q i by time, 5% IHR is defined as the ignition delay period, and 5% to 90% IHR is defined as the main combustion period.
The premixing time in the CVCC is long enough.It can be considered that the gasoline fuel in the chamber is premixed homogeneously.The theoretical PC excess air coefficient can be calculated by referring to the method of Shah et al. [16], as shown in Equation (2) below: where R V is the volume ratio of the PC and MC, m MC is the premixed fuel mass in the MC, m PC is the low-fuel mass injected into the PC.
According to a large number of research results, the combustion efficiency of lean combustion is generally higher than that of stoichiometric combustion [17].Therefore, this article uses the heat release change ratio R HR to evaluate the heat release at different premixed λ conditions, calculated according to the proportion of stoichiometric combustion, as shown in Equation (3).
Q is the integral heat release calculated from a specific operating condition, m is the actual fuel injection amount at the working condition, Q sto is the integral heat release at stoichiometric combustion conditions, and m sto is the fuel injection mass at stoichiometric combustion conditions.

Jet Flame Analysis Method
The flame propagation process generally includes jet flames in six different directions in the 6-hole pre-chamber.To evaluate the axial propagation of the jet flame along the jet Energies 2024, 17, 3101 5 of 17 nozzle direction, the average jet flame penetration length X can be calculated using all collected flame jet lengths.
where the X ′ refers to the jet length in the axis direction of all orifices in the flame image plane.In addition, according to the flame area change of the jet flame propagation in the optical window, the flame jet area of the equivalent average jet penetration length at any moment can be calculated, as shown in Figure 4.

Jet Flame Analysis Method
The flame propagation process generally includes jet flames in six different directions in the 6-hole pre-chamber.To evaluate the axial propagation of the jet flame along the jet nozzle direction, the average jet flame penetration length  can be calculated using all collected flame jet lengths.
where the  refers to the jet length in the axis direction of all orifices in the flame image plane.In addition, according to the flame area change of the jet flame propagation in the optical window, the flame jet area of the equivalent average jet penetration length at any moment can be calculated, as shown in Figure 4.The geometric development of flame jet is similar to the entrainment of spray and fuel-premixed combustion.Its geometric shape can be approximated as a combination of triangle and semicircle [17], as shown in Equation (5).
S is the cumulative flame area obtained by image post-processing, and R is the approximate spherical radius.The equivalent jet flame volume  can be obtained by Equation (6).
The volume of the flame jet represents the gas amount of the flame entrainment, and the entrainment ratio Ф can be defined as the percentage change rate of the jet flame volume at different ambient pressure conditions [18] by Equation (7).
where  is the jet flame volume of stoichiometric combustion at 0.5 MPa initial ambient pressure.The geometric development of flame jet is similar to the entrainment of spray and fuel-premixed combustion.Its geometric shape can be approximated as a combination of triangle and semicircle [17], as shown in Equation (5).
S is the cumulative flame area obtained by image post-processing, and R is the approximate spherical radius.The equivalent jet flame volume V Jet can be obtained by Equation (6).
The volume of the flame jet represents the gas amount of the flame entrainment, and the entrainment ratio Φ can be defined as the percentage change rate of the jet flame volume at different ambient pressure conditions [18] by Equation (7).
where V Jet0 is the jet flame volume of stoichiometric combustion at 0.5 MPa initial ambient pressure.

Combustion Pressure and Heat Release Rate
Figure 5 shows the combustion pressure and heat release rate of stoichiometric combustion and lean combustion of PPC at different ambient pressures.Figure 6 shows the combustion characteristics of PPC with different λ at different ambient pressures.The increase in premixed fuel causes the maximum pressure and integral heat release to increase with the increase in initial ambient pressure.It can be found from Figures 5 and 6 that as premixed λ increases at high ambient pressure (1.0 MPa), the combustion performance decreases sharply, and the peak heat release rate decreases rapidly compared with low ambient pressure.The peak heat release rate at 1.0 MPa ambient pressure is reduced to the minimum when λ = 1.1 as the turning point showing.The integral heat release change ratio R HR is only higher than the stoichiometric combustion condition at lean combustion condition with 0.5 MPa ambient pressure.With 0.75 MPa and 1.0 MPa initial ambient pressures, R HR decreases as λ increases.At the same time, lean combustion will reduce the flame propagation speed and slow down the intensity of combustion heat release.The heat release curve gradually becomes flat, and misfire occurs at 1.0 MPa ambient pressure of λ = 1.2.

Combustion Pressure and Heat Release Rate
Figure 5 shows the combustion pressure and heat release rate of stoichiometric combustion and lean combustion of PPC at different ambient pressures.Figure 6 shows the combustion characteristics of PPC with different λ at different ambient pressures.The increase in premixed fuel causes the maximum pressure and integral heat release to increase with the increase in initial ambient pressure.It can be found from Figures 5 and 6 that as premixed λ increases at high ambient pressure (1.0 MPa), the combustion performance decreases sharply, and the peak heat release rate decreases rapidly compared with low ambient pressure.The peak heat release rate at 1.0 MPa ambient pressure is reduced to the minimum when λ = 1.1 as the turning point showing.The integral heat release change ratio RHR is only higher than the stoichiometric combustion condition at lean combustion condition with 0.5 MPa ambient pressure.With 0.75 MPa and 1.0 MPa initial ambient pressures, RHR decreases as λ increases.At the same time, lean combustion will reduce the flame propagation speed and slow down the intensity of combustion heat release.The heat release curve gradually becomes flat, and misfire occurs at 1.0 MPa ambient pressure of λ = 1.2.

Combustion Pressure and Heat Release Rate
Figure 5 shows the combustion pressure and heat release rate of stoichiometric combustion and lean combustion of PPC at different ambient pressures.Figure 6 shows the combustion characteristics of PPC with different λ at different ambient pressures.The increase in premixed fuel causes the maximum pressure and integral heat release to increase with the increase in initial ambient pressure.It can be found from Figures 5 and 6 that as premixed λ increases at high ambient pressure (1.0 MPa), the combustion performance decreases sharply, and the peak heat release rate decreases rapidly compared with low ambient pressure.The peak heat release rate at 1.0 MPa ambient pressure is reduced to the minimum when λ = 1.1 as the turning point showing.The integral heat release change ratio RHR is only higher than the stoichiometric combustion condition at lean combustion condition with 0.5 MPa ambient pressure.With 0.75 MPa and 1.0 MPa initial ambient pressures, RHR decreases as λ increases.At the same time, lean combustion will reduce the flame propagation speed and slow down the intensity of combustion heat release.The heat release curve gradually becomes flat, and misfire occurs at 1.0 MPa ambient pressure of λ = 1.2.    Figure 7 shows the changes in the ignition delay period and main combustion period of PPC at different premixed λ at different initial ambient pressures.The ignition delay at different initial ambient pressures with stoichiometric combustion is consistent, indicating that the ignition delay is not significantly related to the ambient pressure at the stoichiometric ratio.The initial ambient pressure increase in the pre-chamber makes the ignition delay and main combustion period significantly prolonged, which may be due to the flame propagation speed in the PPC reducing with the increase in premixed λ.
different initial ambient pressures with stoichiometric combustion is consistent, indicating that the ignition delay is not significantly related to the ambient pressure at the stoichiometric ratio.The initial ambient pressure increase in the pre-chamber makes the ignition delay and main combustion period significantly prolonged, which may be due to the flame propagation speed in the PPC reducing with the increase in premixed λ. Figure 8 shows the combustion pressure and heat release rate curves of APC.With the additional low-flow injection in the PC to improve the performance of the jet ignition system, the lean combustion limit is expanded from λ = 1.2 to λ = 1.5 compared to those mentioned above in the PPC system.At the stoichiometric conditions of the APC and the slightly lean condition (λ = 1.1), the combustion heat release performance of high ambient pressure is still better than that of low ambient pressure, and the peak heat release rate increases with the increase in ambient pressure, and there is a two-stage heat release period.Starting from λ = 1.2, the negative impact of the initial ambient pressure in CVCC on jet ignition and flame propagation performance, the peak heat release decreases and the timing of peak heat release delays with the increase in λ.At the same time, the heat release only has one period when λ is over 1.2. Figure 8 shows the combustion pressure and heat release rate curves of APC.With the additional low-flow injection in the PC to improve the performance of the jet ignition system, the lean combustion limit is expanded from λ = 1.2 to λ = 1.5 compared to those mentioned above in the PPC system.At the stoichiometric conditions of the APC and the slightly lean condition (λ = 1.1), the combustion heat release performance of high ambient pressure is still better than that of low ambient pressure, and the peak heat release rate increases with the increase in ambient pressure, and there is a two-stage heat release period.Starting from λ = 1.2, the negative impact of the initial ambient pressure in CVCC on jet ignition and flame propagation performance, the peak heat release decreases and the timing of peak heat release delays with the increase in λ.At the same time, the heat release only has one period when λ is over 1.2.
Energies 2024, 17, x FOR PEER REVIEW 7 of 18 different initial ambient pressures with stoichiometric combustion is consistent, indicating that the ignition delay is not significantly related to the ambient pressure at the stoichiometric ratio.The initial ambient pressure increase in the pre-chamber makes the ignition delay and main combustion period significantly prolonged, which may be due to the flame propagation speed in the PPC reducing with the increase in premixed λ.
(a) Ignition delay (b) Combustion period Figure 8 shows the combustion pressure and heat release rate curves of APC.With the additional low-flow injection in the PC to improve the performance of the jet ignition system, the lean combustion limit is expanded from λ = 1.2 to λ = 1.5 compared to those mentioned above in the PPC system.At the stoichiometric conditions of the APC and the slightly lean condition (λ = 1.1), the combustion heat release performance of high ambient pressure is still better than that of low ambient pressure, and the peak heat release rate increases with the increase in ambient pressure, and there is a two-stage heat release period.Starting from λ = 1.2, the negative impact of the initial ambient pressure in CVCC on jet ignition and flame propagation performance, the peak heat release decreases and the timing of peak heat release delays with the increase in λ.At the same time, the heat release only has one period when λ is over 1.2. Figure 9 shows the combustion characteristics of APC.Since the low-flow fuel injection maintains the minimum injection duration, the excess air coefficient of PC is closer to the premixed λ as the initial ambient pressure and λ increase.The peak heat release rate at the condition of λ = 1.0 and 1.1 positively correlates with the increased ambient pressure.A turning point occurs when λ = 1.2, and the peak heat release rate at 0.75 and 1.0  Figure 9 shows the combustion characteristics of APC.Since the low-flow fuel injection maintains the minimum injection duration, the excess air coefficient of PC is closer to the premixed λ as the initial ambient pressure and λ increase.The peak heat release rate at the condition of λ = 1.0 and 1.1 positively correlates with the increased ambient pressure.A turning point occurs when λ = 1.2, and the peak heat release rate at 0.75 and 1.0 MPa decreases rapidly as λ increases.When λ ≥ 1.3, the peak heat release rate is negatively correlated with changes in ambient pressure, and a low ambient pressure of 0.5 MPa shows higher peak heat release performance.
sure.A turning point occurs when λ = 1.2, and the peak heat release rate at 0.75 and 1.0 MPa decreases rapidly as λ increases.When λ ≥ 1.3, the peak heat release rate is negatively correlated with changes in ambient pressure, and a low ambient pressure of 0.5 MPa shows higher peak heat release performance.
The difference in integral heat release in Figure 9b at different ambient pressure conditions gradually decreases as λ increases, indicating that the combustion heat release efficiency of high ambient pressure decreases faster than that of low ambient pressure.By converting the combustion efficiency with the stoichiometric ratio, the integral heat release percentage change value RHR in Figure 9b can be the same as the PPC.The lean combustion efficiency of low ambient pressure jet ignition is improved in most conditions.The combustion efficiency improves the most when λ = 1.1, reaching 5.6%.When approaching the lean limit, the RHR decreases.Relatively high ambient pressures of 0.75 and 1.0 MPa will cause the lean combustion efficiency to continue to decrease.RHR drops to the minimum value at various ambient pressure conditions when approaching the lean limit λ = 1.5.The difference in integral heat release in Figure 9b at different ambient pressure conditions gradually decreases as λ increases, indicating that the combustion heat release efficiency of high ambient pressure decreases faster than that of low ambient pressure.By converting the combustion efficiency with the stoichiometric ratio, the integral heat release percentage change value R HR in Figure 9b can be the same as the PPC.The lean combustion efficiency of low ambient pressure jet ignition is improved in most conditions.The combustion efficiency improves the most when λ = 1.1, reaching 5.6%.When approaching the lean limit, the R HR decreases.Relatively high ambient pressures of 0.75 and 1.0 MPa will cause the lean combustion efficiency to continue to decrease.R HR drops to the minimum value at various ambient pressure conditions when approaching the lean limit λ = 1.5.
Figure 10 shows the ignition delay period and main combustion period of APC.The ignition delay period increases as λ increases.Ignition delay at high ambient pressure of APC is mostly lower from stoichiometric to lean combustion.This is due to the low energy of the premixed gas at low initial ambient pressure, and low-flow fuel injection enrichment in the PC leads to fuel enrichment, which reduces the flame propagation speed in the PC.At high ambient pressure conditions of 0.75 and 1.0 MPa, the fuel injection amount of 0.64 mg makes the excess air coefficient of PC closer to premixed λ.Hence, the ignition delay is lower than that of lower ambient pressure.Starting from λ = 1.4,lean combustion mainly affects ignition delay.Due to the significant reduction in heat release rate, the influence of ambient pressure on ignition delay no longer plays a dominant role.The ignition delay at lean conditions can be minimized by controlling the fuel concentration in the PC near the stoichiometric ratio when the combustion heat release is stable.
Energies 2024, 17, 3101 9 of 17 fluence of ambient pressure on ignition delay no longer plays a dominant role.The ignition delay at lean conditions can be minimized by controlling the fuel concentration in the PC near the stoichiometric ratio when the combustion heat release is stable.
The main combustion period continues to increase as λ increases.At most operating conditions, the main combustion period of high ambient pressure at the same λ is higher than that at low ambient pressure, indicating that the main combustion period mainly depends on the premixed λ of the main chamber.Jet ignition only determines the flame propagation and combustion characteristics in the early stages of combustion.Figure 11 compares the combustion heat release performance of APC to PPC at different ambient pressure conditions.The APC has additional fuel consumption compared with the PPC.With the same low-flow fuel injection duration, the proportion of additional fuel consumption decreases as the ambient pressure increases, while it rises as λ increases.APC has achieved more significant performance gains than PPC in most combustion by adding a small proportion of 0.1% to 0.4% of additional fuel in the CVCC.
There are gains in peak heat release rate and integral heat release at various ambient pressure conditions.The peak heat release rate and integral heat release change simultaneously, and the heat release values of APC are higher than those of PPC.Combustion efficiency has the most significant improvement at low ambient pressure.When premixed λ is 1.1, the heat release performance of the PPC drops sharply due to the increase in ambient pressure.The APC has a more significant increase in heat release rate than the PPC.
Since the calculated theoretical λPC at the ignition time of APC belongs to the rich combustion range, the ignition delay period is generally longer than that of PPC.The ignition delay of the APC at low ambient pressure is higher than that of the PPC.Increasing the ambient pressure can shorten the ignition delay period.However, compared with the PPC, APC significantly shortens the main combustion period at lean combustion.The main combustion period continues to increase as λ increases.At most operating conditions, the main combustion period of high ambient pressure at the same λ is higher than that at low ambient pressure, indicating that the main combustion period mainly depends on the premixed λ of the main chamber.Jet ignition only determines the flame propagation and combustion characteristics in the early stages of combustion.
Figure 11 compares the combustion heat release performance of APC to PPC at different ambient pressure conditions.The APC has additional fuel consumption compared with the PPC.With the same low-flow fuel injection duration, the proportion of additional fuel consumption decreases as the ambient pressure increases, while it rises as λ increases.APC has achieved more significant performance gains than PPC in most combustion by adding a small proportion of 0.1% to 0.4% of additional fuel in the CVCC.
Energies 2024, 17, x FOR PEER REVIEW 10 of 18 At stoichiometric combustion conditions, the main combustion periods of the two jet ignition methods at various ambient pressures are not much different.As λ increases, the combustion performance of the APC begins to improve, and the main combustion period is significantly shortened.Compared with PPC, APC has a faster heat release rate and more stable combustion performance at the same premixed λ.

Jet Flame Image Analysis
Figure 12 shows the flame images and flame analysis parameters of the PPC at stoichiometric combustion.The analysis starts with ignition timing.The jet flame area represents the flame propagation in the plane, while the jet length better represents the flame propagation in the jet direction.There are gains in peak heat release rate and integral heat release at various ambient pressure conditions.The peak heat release rate and integral heat release change simultaneously, and the heat release values of APC are higher than those of PPC.Combustion efficiency has the most significant improvement at low ambient pressure.When premixed λ is 1.1, the heat release performance of the PPC drops sharply due to the increase in ambient pressure.The APC has a more significant increase in heat release rate than the PPC.
Since the calculated theoretical λ PC at the ignition time of APC belongs to the rich combustion range, the ignition delay period is generally longer than that of PPC.The ignition delay of the APC at low ambient pressure is higher than that of the PPC.Increasing the ambient pressure can shorten the ignition delay period.However, compared with the PPC, APC significantly shortens the main combustion period at lean combustion.
At stoichiometric combustion conditions, the main combustion periods of the two jet ignition methods at various ambient pressures are not much different.As λ increases, the combustion performance of the APC begins to improve, and the main combustion period is significantly shortened.Compared with PPC, APC has a faster heat release rate and more stable combustion performance at the same premixed λ.

Jet Flame Image Analysis
Figure 12 shows the flame images and flame analysis parameters of the PPC at stoichiometric combustion.The analysis starts with ignition timing.The jet flame area represents the flame propagation in the plane, while the jet length better represents the flame propagation in the jet direction.At the condition of λ = 1.1, the combustion intensity decreases, causing low-temperature combustion to dominate, and the brightness of the captured flame image is significantly weakened, as shown in Figure 13.The jet penetration length and flame area of 0.75 MPa ambient pressure is considerably higher than that of 0.5 MPa ambient pressure, which is consistent with the trend of heat release peak.The peak heat release rate at the The changes in flame propagation area at three different initial ambient pressure conditions are relatively close.At the condition of 1.0 MPa, the jet flame area increases rapidly in the initial stage, mainly related to the proper mixture state in the PC.The jet mixture concentration closer to the stoichiometric ratio brings a high-intensity jet flame, as shown in Figure 12c.The average penetration length of the jet is longer at the same time as the ambient pressure increases, indicating that the jet flame propagation velocity at high ambient pressure is faster in the initial stage of the jet ignition.
At the condition of λ = 1.1, the combustion intensity decreases, causing low-temperature combustion to dominate, and the brightness of the captured flame image is significantly weakened, as shown in Figure 13.The jet penetration length and flame area of 0.75 MPa ambient pressure is considerably higher than that of 0.5 MPa ambient pressure, which is consistent with the trend of heat release peak.The peak heat release rate at the maximum ambient pressure of 1.0 MPa is significantly lower than that during stoichiometric combustion, and the combustion state is already close to the lean limit at this ambient pressure condition.The λ significantly impacts the flame propagation intensity in the jet direction at high ambient pressure conditions and the turbulent diffusion entrainment propagation intensity of the in-plane jet flame.At the condition of λ = 1.1, the PPC can no longer achieve good jet ignition and turbulent diffusion combustion performance at 1.0 MPa.       Figure 15 shows the flame propagation images, flame area, and jet penetration of APC stoichiometric combustion.Through the additional low-flow fuel injection in the prechamber, the image's overall brightness in the jet phase is significantly increased compared to that of PPC.Although the pre-chamber is in a fuel-enriched state, the energy intensity of the jet still increases significantly.
Similar to the changes in the PPC, at stoichiometric combustion conditions, the jet area with a high ambient pressure of 1.0 MPa has the highest growth rate in the early stage, and the difference in area change is mainly concentrated in the jet propagation stage.After the jet flame front reaches the optical limit of the window, the difference in area change gradually decreases, especially because the jet flame of high ambient pressure condition has the highest velocity, and the flame propagates quickly in the direction of the jet.
Figure 16 below shows the flame image area and jet penetration of the APC at λ = 1.2.The peak heat release rate trend is consistent with the jet penetration velocity trend at different ambient pressures.The main reason for the heat release is the flame jet intensity, and the jet penetration is a direct reflection of the jet flame intensity.
Compared with stoichiometric combustion in APC, the difference in jet penetration between different ambient pressure conditions decreases, and the difference in area change increases.It shows that the difference in flame propagation area is mainly in the circumferential direction and is closely related to the jet flame shape during the jet development process.At the condition of λ = 1.2, the peak heat release is the lowest at 1.0 MPa.However, it still maintains a jet penetration length and speed higher than 0.5 MPa, which means that additional fuel injection in the active pre-chamber can improve flame propagation in the jet direction even at high ambient pressure.
intensity of the jet still increases significantly.
Similar to the changes in the PPC, at stoichiometric combustion conditions, the jet area with a high ambient pressure of 1.0 MPa has the highest growth rate in the early stage, and the difference in area change is mainly concentrated in the jet propagation stage.After the jet flame front reaches the optical limit of the window, the difference in area change gradually decreases, especially because the jet flame of high ambient pressure condition has the highest velocity, and the flame propagates quickly in the direction of the jet.      Figure 17 shows the evolution of the flame profile at different ambient pressures at λ = 1.2.At high ambient pressure of 1.0 MPa, combustion heat release performance decreases, jet velocity decreases, and uniformity worsens.Due to the weak entrainment ability of the flame area, the circumferential propagation speed slows down.Although the jet entrainment volume is directly related to the jet velocity, the effect of high ambient pressure dominates.The result of ambient pressure on jet flame propagation is mainly reflected in transforming a wide jet flame into a narrow jet flame, thereby prolonging the in-plane flame propagation time.It can also be seen from the figure that the jet flame is asymmetrical because the spark plug in the pre-chamber is not installed in the central position, so the distance between the electrode gap and the outlet of the pre-chamber is different, thus showing the non-uniformity of the jet flame.

Conclusions
This paper studied the effect of initial ambient pressure on APC and PPC with a constant volume combustion chamber.The heat release rate, IHR, heat release change ratio, flame area, jet flame propagation length, and percentage change jet entrainment were used to investigate the combustion and flame propagation characteristics.The main conclusions are as follows: 1.The APC could expand the lean limit to premixed λ = 1.5 compared with premixed λ = 1.2 of PPC at different ambient pressures.2. At stoichiometric and slightly lean combustion conditions, appropriately increasing the ambient pressure can promote ignition and combustion performance of APC and PPC with the heat release peak increased and the combustion period shortened.At lean combustion conditions, the ignition and combustion performance decrease rapidly after the premixed λ exceeds a certain value at high ambient pressure, while APC could increase the premixed λ corresponding to this turning point.3.At the stoichiometric combustion and slightly lean combustion (λ = 1.0 and λ = 1.1) conditions with APC, the peak heat release rate positively correlates with the initial ambient pressure increase.As the premixed λ increases, the peak heat release rate and ambient pressure negatively correlate.4. The ignition delay increases with the increase in premixed λ.At the same time, the ignition delay period of APC is directly related to the fuel concentration in the PC.
The ignition delay can be minimized by controlling the excess air coefficient in the pre-chamber near the stoichiometric ratio.5.The high initial ambient pressure in the constant volume chamber dramatically reduces the volume of the jet flame and the mixture entrainment capacity at lean combustion conditions, thereby reducing the combustion speed and peak heat release.At the same time, the APC can significantly increase the jet intensity, which could weaken the ambient pressure effect on the jet penetration at lean combustion conditions. Author

Conclusions
This paper studied the effect of initial ambient pressure on APC and PPC with a constant volume combustion chamber.The heat release rate, IHR, heat release change ratio, flame area, jet flame propagation length, and percentage change jet entrainment were used to investigate the combustion and flame propagation characteristics.The main conclusions are as follows: 1.
The APC could expand the lean limit to premixed λ = 1.5 compared with premixed λ = 1.2 of PPC at different ambient pressures.

2.
At stoichiometric and slightly lean combustion conditions, appropriately increasing the ambient pressure can promote ignition and combustion performance of APC and PPC with the heat release peak increased and the combustion period shortened.At lean combustion conditions, the ignition and combustion performance decrease rapidly after the premixed λ exceeds a certain value at high ambient pressure, while APC could increase the premixed λ corresponding to this turning point.

3.
At the stoichiometric combustion and slightly lean combustion (λ = 1.0 and λ = 1.1) conditions with APC, the peak heat release rate positively correlates with the initial ambient pressure increase.As the premixed λ increases, the peak heat release rate and ambient pressure negatively correlate.4.
The ignition delay increases with the increase in premixed λ.At the same time, the ignition delay period of APC is directly related to the fuel concentration in the PC.
The ignition delay can be minimized by controlling the excess air coefficient in the pre-chamber near the stoichiometric ratio.

5.
The high initial ambient pressure in the constant volume chamber dramatically reduces the volume of the jet flame and the mixture entrainment capacity at lean combustion conditions, thereby reducing the combustion speed and peak heat release.At the same time, the APC can significantly increase the jet intensity, which could weaken the ambient pressure effect on the jet penetration at lean combustion conditions.

Figure 3 .
Figure 3. Gas mixture preparation and ignition control signal.

Figure 3 .
Figure 3. Gas mixture preparation and ignition control signal.

Figure 4 .
Figure 4. Jet flame geometry and equivalent jet geometry.

Figure 4 .
Figure 4. Jet flame geometry and equivalent jet geometry.

Figure 5 .
Figure 5. Combustion pressure and heat release rate of different premixed λ.
(a) Peak heat release (b) Integral heat release

Figure 6 .
Figure 6.Peak and integral heat release of PPC.

Figure 7 5 5 Figure 5 .
Figure7shows the changes in the ignition delay period and main combustion period of PPC at different premixed λ at different initial ambient pressures.The ignition delay at

Figure 5 .
Figure 5. Combustion pressure and heat release rate of different premixed λ.
(a) Peak heat release (b) Integral heat release

Figure 6 .
Figure 6.Peak and integral heat release of PPC.

Figure 7 5 5 Figure 6 .
Figure7shows the changes in the ignition delay period and main combustion period of PPC at different premixed λ at different initial ambient pressures.The ignition delay at

Figure 8 .
Figure 8. Pressure and heat release at different premixed λ.
(a) Peak heat release (b) Integral heat release

Figure 9 .
Figure 9. Peak and integral heat release of APC.

Figure 9 .
Figure 9. Peak and integral heat release of APC.
Energies 2024, 17, x FOR PEER REVIEW 11 of 18 (a) Flame images (b) Flame propagation area (c) Flame penetration length

Figure 12 .
Figure 12.Flame images and analysis at stoichiometric combustion of PPC.

Figure 12 .
Figure 12.Flame images and analysis at stoichiometric combustion of PPC.
Energies 2024, 17, x FOR PEER REVIEW 12 of 18 (a) Flame images (b) Flame propagation area (c) Flame penetration length

Figure 14
Figure 14 shows the calculated jet volume and jet flame entrainment change Φ of the PPC at different times.Stoichiometric combustion always maintains a larger jet flame volume than lean combustion, and the entrainment volume increases with the increase in the ambient pressure in the constant volume chamber.The higher the entrainment change Φ, the better the jet flame propagation and combustion heat release performance.When λ = 1.1, due to the sharp decrease in the jet penetration length and flame propagation area at high ambient pressure conditions, the jet entrainment is also at the lowest level, resulting in the jet ignition at 1.0 MPa condition being close to the lean combustion limit.(b) Flame propagation area (c) Flame penetration length

Figure 14 .
Figure 14.Calculated jet volume and jet flame entrainment change.

Figure 14 .
Figure 14.Calculated jet volume and jet flame entrainment change.
(a) Flame images (b) Flame propagation area (c) Flame penetration length

Figure 15 .
Figure 15.Flame images and analysis at stoichiometric combustion of APC.

Figure 16
Figure 16 below shows the flame image area and jet penetration of the APC at λ = 1.2.The peak heat release rate trend is consistent with the jet penetration velocity trend at different ambient pressures.The main reason for the heat release is the flame jet intensity, and the jet penetration is a direct reflection of the jet flame intensity.Compared with stoichiometric combustion in APC, the difference in jet penetration between different ambient pressure conditions decreases, and the difference in area change increases.It shows that the difference in flame propagation area is mainly in the circumferential direction and is closely related to the jet flame shape during the jet

Figure 15 .
Figure 15.Flame images and analysis at stoichiometric combustion of APC.

Figure 17 Figure 16 .
Figure 17 shows the evolution of the flame profile at different ambient pressures at λ = 1.2.At high ambient pressure of 1.0 MPa, combustion heat release performance decreases, jet velocity decreases, and uniformity worsens.Due to the weak entrainment ability of the flame area, the circumferential propagation speed slows down.Although the jet entrainment volume is directly related to the jet velocity, the effect of high ambient pressure dominates.The result of ambient pressure on jet flame propagation is mainly reflected in transforming a wide jet flame into a narrow jet flame, thereby prolonging the inplane flame propagation time.It can also be seen from the figure that the jet flame is asym-

Figure 17 .
Figure 17.Jet flame contour of different ambient pressure.

Figure 18
Figure 18 shows the jet volume and entrainment change Φ calculated at different times.At the combustion condition of stoichiometric ratio λ = 1.0, the jet flame volume increases significantly as the ambient pressure increases, and the change rate of entrainment volume at high ambient pressure relative to the low ambient pressure of 0.5 MPa is positive.At lean combustion conditions, the initial jet flame entrainment volume at high ambient pressure increases the jet intensity due to the additional low-flow fuel injection, and the entrainment volume change rate is higher than that at 0.5 MPa low ambient pressure.With the jet flame's development, the jet flame's volume at the condition of 1.0 MPa at 3 ms and 4 ms after jet flame ignition in CVCC has been less than that of 0.5 MPa.The change rate of the entrainment amount has become negative simultaneously.

Figure 17 .
Figure 17.Jet flame contour of different ambient pressure.

Figure 18 18 Figure 18 .
Figure 18 shows the jet volume and entrainment change Φ calculated at different times.At the combustion condition of stoichiometric ratio λ = 1.0, the jet flame volume increases significantly as the ambient pressure increases, and the change rate of entrainment volume at high ambient pressure relative to the low ambient pressure of 0.5 MPa is positive.At lean combustion conditions, the initial jet flame entrainment volume at high ambient pressure Contributions: M.L.: Software, Methodology, Validation, Investigation, Formal analysis, Visualization, Writing-Original Draft, Writing-Review and Editing; Z.H.: Conceptualization, Supervision, Funding acquisition, Writing-Review and Editing; X.M.: Investigation, Writing-Review and Editing; Z.W.: Investigation, Funding acquisition, Writing-Review and Editing; X.W.:

Figure 18 .
Figure 18.Equivalent jet volume and percentage entrainment change of different ambient pressures.

Table 1 .
Detailed operating conditions.

Table 1 .
Detailed operating conditions.