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Keywords = Otto engine

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11 pages, 343 KB  
Article
Endoreversible Stirling Cycles: Plasma Engines at Maximal Power
by Gregory Behrendt and Sebastian Deffner
Entropy 2025, 27(8), 807; https://doi.org/10.3390/e27080807 - 28 Jul 2025
Viewed by 1623
Abstract
Endoreversible engine cycles are a cornerstone of finite-time thermodynamics. We show that endoreversible Stirling engines operating with a one-component plasma as a working medium run at maximal power output with the Curzon–Ahlborn efficiency. As a main result, we elucidate that this is actually [...] Read more.
Endoreversible engine cycles are a cornerstone of finite-time thermodynamics. We show that endoreversible Stirling engines operating with a one-component plasma as a working medium run at maximal power output with the Curzon–Ahlborn efficiency. As a main result, we elucidate that this is actually a consequence of the fact that the caloric equation of state depends only linearly on temperature and only additively on volume. In particular, neither the exact form of the mechanical equation of state nor the full fundamental relation are required. Thus, our findings immediately generalize to a larger class of working plasmas, far beyond simple ideal gases. In addition, we show that for plasmas described by the photonic equation of state, the efficiency is significantly lower. This is in stark contrast to endoreversible Otto cycles, for which photonic engines have an efficiency larger than the Curzon–Ahlborn efficiency. Full article
(This article belongs to the Special Issue The First Half Century of Finite-Time Thermodynamics)
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22 pages, 665 KB  
Article
Operational Constraints in Quantum Otto Engines: Energy-Gap Modulation and Majorization
by Sachin Sonkar and Ramandeep S. Johal
Entropy 2025, 27(6), 625; https://doi.org/10.3390/e27060625 - 12 Jun 2025
Viewed by 1243
Abstract
The performance of a quantum Otto engine is analyzed with regard to the constraints on the modulation of energy gaps relative to the changes in probability distributions at the two given heat reservoirs. We performed a detailed analysis with a generic three-level system [...] Read more.
The performance of a quantum Otto engine is analyzed with regard to the constraints on the modulation of energy gaps relative to the changes in probability distributions at the two given heat reservoirs. We performed a detailed analysis with a generic three-level system (3LS), which serves as a non-trivial working medium with two energy gaps. A three-level Otto engine becomes feasible if at least one energy gap shrinks during the first quantum adiabatic stage. The operating regimes are derived for each allowed energy gap modulation, and majorization is observed to play a crucial role in determining the engine operation. This results in an enhanced Otto efficiency when the probability distributions fulfill the majorization condition. Finally, we show that our formalism applies to a swap engine based on a working medium composed of two 3LSs. Full article
(This article belongs to the Special Issue Advances in Quantum Thermodynamics)
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18 pages, 3995 KB  
Article
An Assessment of the Performance and Emissions of an Otto Power Generator Group Operating with Wet Ethanol at a High Volumetric Compression Ratio
by Vinícius Guerra Moreira, Sérgio de Morais Hanriot, Tales Nazareno, Bruno Eustáquio Pires Ferreira, Rafael Motter Juliatti, Hairton Júnior José da Silveira and Cristiana Brasil Maia
Energies 2024, 17(23), 6187; https://doi.org/10.3390/en17236187 - 8 Dec 2024
Cited by 1 | Viewed by 1431
Abstract
This work presents an experimental study of the performance and emissions of an internal combustion engine operating in the Otto cycle with a high volumetric compression ratio (17:1). The engine was initially fueled with the standard ethanol used in Brazil, with 7% distilled [...] Read more.
This work presents an experimental study of the performance and emissions of an internal combustion engine operating in the Otto cycle with a high volumetric compression ratio (17:1). The engine was initially fueled with the standard ethanol used in Brazil, with 7% distilled water (E93W07); we then studied the effects of using different ethanol-in-water mixtures, or ‘wet ethanol’, with 17%, 27%, 37%, and 47% distilled water concentrations. The tests were carried out with power loads of 5.0–25.0 kW at 5.0 kW intervals and with power loads of 27.5–35.0 kW at 2.5 kW intervals, whether by adding up the loads or by taking them away. The ignition timing was changed to evaluate each load imposed on the engine to avoid knocking. Specific fuel consumption (SFC), brake thermal efficiency (BTE), carbon dioxide emissions (CO2), carbon monoxide (CO), nitrogen oxides (NOx), and total hydrocarbon content (THC), as well as the internal pressure in the cylinder and the heat release rate, were measured, and the results are compared. The results show a reduction in CO and NOx and an increase in THC emissions. However, there were no significant changes in CO2 emissions when the distilled water percentage in ethanol increased. Regarding the brake thermal efficiency, it was observed that it remained approximately constant for all blends, with the same load being applied to the engine shaft, reaching a maximum value of 35%. The results obtained confirm the technical feasibility of operating an internal combustion engine in the Otto cycle with a high volumetric compression ratio using ethanol with up to 47% distilled water without significant loss of performance. Full article
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12 pages, 660 KB  
Article
Quantum Otto Heat Engine Using Polar Molecules in Pendular States
by Xiang Li, Zhaoxi Sun, Yu-Yan Fang, Xiao-Li Huang, Xinning Huang, Jin-Fang Li, Zuo-Yuan Zhang and Jin-Ming Liu
Molecules 2024, 29(23), 5617; https://doi.org/10.3390/molecules29235617 - 27 Nov 2024
Cited by 2 | Viewed by 2471
Abstract
Quantum heat engines (QHEs) are established by applying the principles of quantum thermodynamics to small−scale systems, which leverage quantum effects to gain certain advantages. In this study, we investigate the quantum Otto cycle by employing the dipole−dipole coupled polar molecules as the working [...] Read more.
Quantum heat engines (QHEs) are established by applying the principles of quantum thermodynamics to small−scale systems, which leverage quantum effects to gain certain advantages. In this study, we investigate the quantum Otto cycle by employing the dipole−dipole coupled polar molecules as the working substance of QHE. Here, the molecules are considered to be trapped within an optical lattice and located in an external electric field. We analyze the work output and the efficiency of the quantum Otto heat engine (QOHE) as a function of various physical parameters, including electric field strength, dipole−dipole interaction and temperatures of heat baths. It is found that by adjusting these physical parameters the performance of the QOHE can be optimized effectively. Moreover, we also examine the influences of the entanglement and relative entropy of coherence for the polar molecules in thermal equilibrium states on the QOHE. Our results demonstrate the potential of polar molecules in achieving QHEs. Full article
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7 pages, 1705 KB  
Proceeding Paper
Study of the Negative Work Area in the p-V Diagram of an HCCI Engine
by Csaba Tóth-Nagy
Eng. Proc. 2024, 79(1), 22; https://doi.org/10.3390/engproc2024079022 - 4 Nov 2024
Viewed by 1316
Abstract
Homogeneously charged compression ignition is a promising combustion process that is proven to increase combustion efficiency and decrease exhaust emissions when compared to Otto or Diesel engine efficiencies and emissions. The HCCI process can be considered an advancement on the path to sustainability. [...] Read more.
Homogeneously charged compression ignition is a promising combustion process that is proven to increase combustion efficiency and decrease exhaust emissions when compared to Otto or Diesel engine efficiencies and emissions. The HCCI process can be considered an advancement on the path to sustainability. However, improper control of the start of combustion causes the efficiency of the engine to drop significantly. The reason for this efficiency drop is that an early start of combustion causes the piston on the upward stroke to experience increased cylinder pressure after the combustion process is complete. The piston must further compress the cylinder content until it reaches the top dead center. During this process, the piston still experiences an increased gas force on the way towards TDC, having to invest extra disadvantageous work into the compression stroke, causing a negative work area in the pressure–volume diagram of the engine. The present study introduces the negative work area in the p-V diagram of an HCCI engine. It describes the phenomenon and explores the reasons behind it. It also investigates some of the factors affecting the negative work area in the p-V diagram. Full article
(This article belongs to the Proceedings of The Sustainable Mobility and Transportation Symposium 2024)
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32 pages, 21135 KB  
Article
Parametric Investigation on the Influence of Turbocharger Performance Decay on the Performance and Emission Characteristics of a Marine Large Two-Stroke Dual Fuel Engine
by Haosheng Shen, Fumiao Yang, Dingyu Jiang, Daoyi Lu, Baozhu Jia, Qingjiang Liu and Xiaochi Zhang
J. Mar. Sci. Eng. 2024, 12(8), 1298; https://doi.org/10.3390/jmse12081298 - 1 Aug 2024
Cited by 6 | Viewed by 2697
Abstract
Identifying and analyzing the engine performance and emission characteristics under the condition of performance decay is of significant reference value for fault diagnosis, condition-based maintenance, and health status monitoring. However, there is a lack of relevant research on the currently popular marine large [...] Read more.
Identifying and analyzing the engine performance and emission characteristics under the condition of performance decay is of significant reference value for fault diagnosis, condition-based maintenance, and health status monitoring. However, there is a lack of relevant research on the currently popular marine large two-stroke dual fuel (DF) engines. To fill the research gap, a detailed zero-/one-dimensional (0D/1D) model of a marine two-stroke DF engine employing the low-pressure gas concept is first established in GT-Power (Version 2020) and validated by comparing the simulation and measured results. Then, three typical types of turbocharger performance decays are defined including turbine efficiency decay, turbine nozzle ring area decay, and turbocharger shaft mechanical efficiency decay. Finally, the three types of decays are introduced to the engine simulation model and parametric runs are performed in both diesel and gas modes to identify and analyze their impacts on the performance and emission characteristics of the investigated marine DF engine. The results reveal that turbocharger performance decay has a significant impact on engine performance parameters, such as brake efficiency, engine speed, boost pressure, etc., as well as CO2 and NOx emissions, and the specified limit value on certain engine operational parameters will be exceeded when turbocharger performance decays to a certain extent. The changing trend of engine performance and emission parameters as turbocharger performance deteriorates are generally consistent in both operating modes but with significant differences in the extent and magnitude, mainly due to the distinct combustion process (Diesel cycle versus Otto cycle). Furthermore, considering the relative decline in brake efficiency, engine speed drop, and relative increase in CO2 emission, the investigated engine is less sensitive to the turbocharger performance decay in gas mode. The simulation results also imply that employing a variable geometry turbine (VGT) is capable of improving the brake efficiency of the investigated marine DF engine. Full article
(This article belongs to the Special Issue Performance and Emission Characteristics of Marine Engines)
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17 pages, 1081 KB  
Article
Compatibility of Methanol-Hydrotreated Vegetable Oil Blends with Chosen Steels and Aluminum
by Huaying Wang-Alho, Katriina Sirviö, Carolin Nuortila, Jonna Kaivosoja, Maciej Mikulski and Seppo Niemi
Energies 2024, 17(14), 3423; https://doi.org/10.3390/en17143423 - 11 Jul 2024
Viewed by 2384
Abstract
Methanol and hydrotreated vegetable oil (HVO) are complementary in the context of achieving ultra-low emission levels via low temperature combustion. HVO is a high-quality fuel fully compatible with compression ignition engines. Standalone methanol combustion is relatively straight-forward according to the Otto principle, with [...] Read more.
Methanol and hydrotreated vegetable oil (HVO) are complementary in the context of achieving ultra-low emission levels via low temperature combustion. HVO is a high-quality fuel fully compatible with compression ignition engines. Standalone methanol combustion is relatively straight-forward according to the Otto principle, with a spark ignited or in conventional dual-fuel (“liquid spark”) engines. These two fuels have by far the largest reactivity span amongst commercially available alternatives, allowing to secure controllable partially premixed compression ignition with methanol–HVO emulsification. This study investigates the corrosion of aluminum, carbon steel, stainless steel, and a special alloy of MoC210M/25CrMo4+SH, exposed to different combinations of HVO, HVO without additives (HVOr), methanol, and emulsion stabilizing additives (1-octanol or 1-dodecanol). General corrosive properties are well determined for all these surrogates individually, but their mutual interactions have not been researched in the context of relevant engine components. The experimental research involved immersion of metal samples into the fuels at room temperature for a duration of 60 days. The surfaces of the metals were inspected visually and the dissolution of the metals into fuels was evaluated by analyzing the fuels’ trace metal concentrations before and after the immersion test. Furthermore, this study compared the alterations in the chemical and physical properties of the fuels, such as density, kinematic viscosity, and distillation properties, due to possible corrosion products. Based on these results, methanol as 100% fuel or as blending component slightly increases the corrosion risk. Methanol had slight dissolving effect on aluminum (dissolving Al) and carbon steel (dissolving Zn). HVO, HVOr, and methanol–HVOr–co-solvents were compatible with the metals. No fuels induced visible corrosion on the metals’ surfaces. If corrosion products were formed in the fuel samples, they did not affect fuel parameters. Full article
(This article belongs to the Special Issue Renewable Fuels for Internal Combustion Engines: 2nd Edition)
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15 pages, 3034 KB  
Article
NO Formation in Combustion Engines Fuelled by Mixtures of Hydrogen and Methane
by Joaquim Campos, Leonardo Ribeiro, Joaquim Monteiro, Gustavo Pinto and Andresa Baptista
Sustainability 2024, 16(13), 5815; https://doi.org/10.3390/su16135815 - 8 Jul 2024
Cited by 7 | Viewed by 1951
Abstract
The present work addresses the production of nitrogen oxides in ICEs burning hydrogen mixed with methane. A mathematical model that allows the calculation of nitrogen oxide emissions from such combustion was built; this model uses the extended chemical kinetic mechanism of Zeldovich. Numerical [...] Read more.
The present work addresses the production of nitrogen oxides in ICEs burning hydrogen mixed with methane. A mathematical model that allows the calculation of nitrogen oxide emissions from such combustion was built; this model uses the extended chemical kinetic mechanism of Zeldovich. Numerical simulations were carried out on the production of NO, varying the following variables: proportion of H2 to CH4, the equivalence ratio of the reactant mixture, the compression ratio, and the engine speed. The essential purpose was to assess how NO production is affected by the mentioned variables. The main assumptions were (i) Otto cycle; (ii) instantaneous combustion; (iii) chemical equilibrium reached just at the end of combustion; (iv) the formation of NO only during the expansion stroke of pistons. Results were obtained for various proportions of hydrogen and methane, various equivalence ratios, speeds of rotation, and compression ratios of an engine. In short, the results obtained in the current work show that the lowering of the equivalence ratio leads to a lower concentration of NO; that increasing the compression ratio also lowers the concentration of NO; that NO production occurs until shortly after the beginning of the expansion stroke; and finally, that the NO concentration in the engine exhaust is not very sensitive to the H2/CH4 ratio in the fuel mixture. Full article
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18 pages, 1904 KB  
Article
Computational Issues of Quantum Heat Engines with Non-Harmonic Working Medium
by Andrea R. Insinga, Bjarne Andresen and Peter Salamon
Entropy 2024, 26(5), 359; https://doi.org/10.3390/e26050359 - 25 Apr 2024
Viewed by 2108
Abstract
In this work, we lay the foundations for computing the behavior of a quantum heat engine whose working medium consists of an ensemble of non-harmonic quantum oscillators. In order to enable this analysis, we develop a method based on the Schrödinger picture. We [...] Read more.
In this work, we lay the foundations for computing the behavior of a quantum heat engine whose working medium consists of an ensemble of non-harmonic quantum oscillators. In order to enable this analysis, we develop a method based on the Schrödinger picture. We investigate different possible choices on the basis of expanding the density operator, as it is crucial to select a basis that will expedite the numerical integration of the time-evolution equation without compromising the accuracy of the computed results. For this purpose, we developed an estimation technique that allows us to quantify the error that is unavoidably introduced when time-evolving the density matrix expansion over a finite-dimensional basis. Using this and other ways of evaluating a specific choice of basis, we arrive at the conclusion that the basis of eigenstates of a harmonic Hamiltonian leads to the best computational performance. Additionally, we present a method to quantify and reduce the error that is introduced when extracting relevant physical information about the ensemble of oscillators. The techniques presented here are specific to quantum heat cycles; the coexistence within a cycle of time-dependent Hamiltonian and coupling with a thermal reservoir are particularly complex to handle for the non-harmonic case. The present investigation is paving the way for numerical analysis of non-harmonic quantum heat machines. Full article
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30 pages, 1352 KB  
Article
Work Fluctuations in Ergotropic Heat Engines
by Giovanni Chesi, Chiara Macchiavello and Massimiliano Federico Sacchi
Entropy 2023, 25(11), 1528; https://doi.org/10.3390/e25111528 - 9 Nov 2023
Cited by 2 | Viewed by 1749
Abstract
We study the work fluctuations in ergotropic heat engines, namely two-stroke quantum Otto engines where the work stroke is designed to extract the ergotropy (the maximum amount of work by a cyclic unitary evolution) from a couple of quantum systems at canonical equilibrium [...] Read more.
We study the work fluctuations in ergotropic heat engines, namely two-stroke quantum Otto engines where the work stroke is designed to extract the ergotropy (the maximum amount of work by a cyclic unitary evolution) from a couple of quantum systems at canonical equilibrium at two different temperatures, whereas the heat stroke thermalizes back the systems to their respective reservoirs. We provide an exhaustive study for the case of two qutrits whose energy levels are equally spaced at two different frequencies by deriving the complete work statistics. By varying the values of temperatures and frequencies, only three kinds of optimal unitary strokes are found: the swap operator U1, an idle swap U2 (where one of the qutrits is regarded as an effective qubit), and a non-trivial permutation of energy eigenstates U3, which indeed corresponds to the composition of the two previous unitaries, namely U3=U2U1. While U1 and U2 are Hermitian (and hence involutions), U3 is not. This point has an impact on the thermodynamic uncertainty relations (TURs), which bound the signal-to-noise ratio of the extracted work in terms of the entropy production. In fact, we show that all TURs derived from a strong detailed fluctuation theorem are violated by the transformation U3. Full article
(This article belongs to the Special Issue Thermodynamic Uncertainty Relations)
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16 pages, 3981 KB  
Article
Multilayer Graphene as an Endoreversible Otto Engine
by Nathan M. Myers, Francisco J. Peña, Natalia Cortés and Patricio Vargas
Nanomaterials 2023, 13(9), 1548; https://doi.org/10.3390/nano13091548 - 5 May 2023
Cited by 3 | Viewed by 2524
Abstract
We examine the performance of a finite-time, endoreversible Otto heat engine with a working medium of monolayer or multilayered graphene subjected to an external magnetic field. As the energy spectrum of multilayer graphene under an external magnetic field depends strongly on the number [...] Read more.
We examine the performance of a finite-time, endoreversible Otto heat engine with a working medium of monolayer or multilayered graphene subjected to an external magnetic field. As the energy spectrum of multilayer graphene under an external magnetic field depends strongly on the number of layers, so too does its thermodynamic behavior. We show that this leads to a simple relationship between the engine efficiency and the number of layers of graphene in the working medium. Furthermore, we find that the efficiency at maximum power for bilayer and trilayer working mediums can exceed that of a classical endoreversible Otto cycle. Conversely, a working medium of monolayer graphene displays identical efficiency at maximum power to a classical working medium. These results demonstrate that layered graphene can be a useful material for the construction of efficient thermal machines for diverse quantum device applications. Full article
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23 pages, 5837 KB  
Article
Coil High Voltage Spark Plug Boots Insulators Material Selection Using MCDM, Simulation, and Experimental Validation
by Javier Martínez-Gómez and Jaime Eduardo Portilla
Processes 2023, 11(4), 1292; https://doi.org/10.3390/pr11041292 - 21 Apr 2023
Cited by 1 | Viewed by 2686
Abstract
The examination and choice of an alternate composite material for the high-voltage circuit of Otto cycle internal combustion engines—more commonly known as gasoline engines—are presented in the research that follows. To do this, multicriteria selection procedures are employed, and the outcomes are validated [...] Read more.
The examination and choice of an alternate composite material for the high-voltage circuit of Otto cycle internal combustion engines—more commonly known as gasoline engines—are presented in the research that follows. To do this, multicriteria selection procedures are employed, and the outcomes are validated through the use of thermal character simulation software and standard laboratory tests. Nylon is the recommended material for Coils on Plug (COP) high-voltage insulators. Four of the six multicriteria selection techniques utilized in this study were found to be effective. It was discovered through the virtual simulation process that, even in the same environment with the same edge circumstances, the thermal behavior of the materials differs dramatically because the quadrants exhibit different behavior depending on the material. Given that nylon has a lower elasticity modulus than silicone, it was determined that the dimensions are crucial for the nylon Spark Plug Boot (SPB) to comply with the dielectric isolation process. It must have a minimal clearance in order to be related to the geometry of the spark plug and perform the perfect insulation in this manner. Full article
(This article belongs to the Special Issue Modeling, Simulation, Control, and Optimization of Processes)
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13 pages, 2617 KB  
Article
Enhanced Efficiency at Maximum Power in a Fock–Darwin Model Quantum Dot Engine
by Francisco J. Peña, Nathan M. Myers, Daniel Órdenes, Francisco Albarrán-Arriagada and Patricio Vargas
Entropy 2023, 25(3), 518; https://doi.org/10.3390/e25030518 - 17 Mar 2023
Cited by 4 | Viewed by 3336
Abstract
We study the performance of an endoreversible magnetic Otto cycle with a working substance composed of a single quantum dot described using the well-known Fock–Darwin model. We find that tuning the intensity of the parabolic trap (geometrical confinement) impacts the proposed cycle’s performance, [...] Read more.
We study the performance of an endoreversible magnetic Otto cycle with a working substance composed of a single quantum dot described using the well-known Fock–Darwin model. We find that tuning the intensity of the parabolic trap (geometrical confinement) impacts the proposed cycle’s performance, quantified by the power, work, efficiency, and parameter region where the cycle operates as an engine. We demonstrate that a parameter region exists where the efficiency at maximum output power exceeds the Curzon–Ahlborn efficiency, the efficiency at maximum power achieved by a classical working substance. Full article
(This article belongs to the Special Issue Quantum Control and Quantum Computing)
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16 pages, 1226 KB  
Article
Performance of Quantum Heat Engines Enhanced by Adiabatic Deformation of Trapping Potential
by Yang Xiao, Kai Li, Jizhou He and Jianhui Wang
Entropy 2023, 25(3), 484; https://doi.org/10.3390/e25030484 - 10 Mar 2023
Cited by 2 | Viewed by 2607
Abstract
We present a quantum Otto engine model alternatively driven by a hot and a cold heat reservoir and consisting of two isochoric and two adiabatic strokes, where the adiabatic expansion or compression is realized by adiabatically changing the shape of the potential. Here, [...] Read more.
We present a quantum Otto engine model alternatively driven by a hot and a cold heat reservoir and consisting of two isochoric and two adiabatic strokes, where the adiabatic expansion or compression is realized by adiabatically changing the shape of the potential. Here, we show that such an adiabatic deformation may alter operation mode and enhance machine performance by increasing output work and efficiency, even with the advantage of decreasing work fluctuations. If the heat engine in the sudden limit operates under maximal power by optimizing the control parameter, the efficiency shows certain universal behavior, η*=ηC/2+ηC2/8+O(ηC3), where ηC=1βhr/βcr is the Carnot efficiency, with βhr(βcr) being the inverse temperature of the hot (cold) reservoir. However, such efficiency under maximal power can be produced by our machine model in the regimes where the machine without adiabatic deformation can only operate as a heater or a refrigerator. Full article
(This article belongs to the Section Statistical Physics)
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29 pages, 7546 KB  
Article
Definition of the Thermodynamic Cycle of a Biomass-Fueled Internal Combustion Engine
by Gonzalo Suanes, David Bolonio and Antonio Cantero
Energies 2023, 16(2), 896; https://doi.org/10.3390/en16020896 - 12 Jan 2023
Cited by 1 | Viewed by 2591
Abstract
Climate change and the depletion of fossil fuels make it urgent to find an alternative to oil-based fuels, especially in machines powered by internal combustion engines. Biomass is currently a poorly used source of energy and meets the necessary conditions to replace a [...] Read more.
Climate change and the depletion of fossil fuels make it urgent to find an alternative to oil-based fuels, especially in machines powered by internal combustion engines. Biomass is currently a poorly used source of energy and meets the necessary conditions to replace a large part of oil-based fuels. However, current engines cannot burn solid biomass and a specific engine needs to be developed. This work proposes the thermodynamic cycle of a biomass-fueled internal combustion engine. The cycle is significantly different from the Otto cycle, since compression and heat absorption occur simultaneously, in a single stage. Since it is not possible to find a function that relates pressure to volume at this stage, an approximate method is proposed to solve the cycle without resorting to numerical methods. The results show that the maximum pressure and temperature of a biomass-fueled engine cycle are somewhat higher than those of the equivalent Otto cycle. However, more significantly, the cycle efficiency does not increase continuously with the compression ratio. There is an optimum compression ratio value for which the cycle efficiency is at its maximum. This fact will condition the design of the motors. Full article
(This article belongs to the Section B: Energy and Environment)
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