Experimental Analysis on the Operating Line of Two Gas Turbine Engines by Testing with Different Exhaust Nozzle Geometries

Abstract

This paper presents a special analysis study about the gas turbine operating line, and an overall description of a gas turbines project, based on experimental data from two particular applications, in order to convert two different types of aero engines into the same engine configuration. The experimental works were carried out with the aim of converting an Ivchenko AI-20K turboprop and a Rolls-Royce Viper 632-41 turbojet into free turbine turboshaft engines, to be used in marine propulsion, and also to obtain an experimental database to be used in other gas turbine applications. In order to carry out the experimental work, the engines were tested in turbojet configuration, to simulate the free turbine load by using jet nozzles with different geometries of the outlet cross-section. Following the engines’ tests, a series of measured data were obtained, through which it was possible to experimentally determine the operating line of some engine components such as the compressor, turbine, and exhaust jet nozzle. This paper is comprehensive and useful through its scientific and technical guidelines, the operation curves coming in handy in the thermodynamic analysis and testing methodology for researchers dealing with similar applications.

1. Introduction

The paper herein is a dissemination part of a complex study regarding experimental research conducted on turboprop and turbojet gas turbines converted into free turbine turboshafts. The project was an internal application project of the Romanian Research and Development Institute for Gas Turbines COMOTI [1]. Using gas turbine engines for industrial power generation, oil, and gas applications or marine propulsion application is a custom practice employed by manufacturers [2,3] and by researchers [4,5,6,7,8] in various engineering projects. Usually, the gas turbines used for marine purposes are aeroderivative engines [9,10], based on models originally designed for aircraft. In some cases, the gas turbines are specially designed for the required applications [11,12]. Depending on the purpose and according to the imposed performance, there are applications employing engines’ configurations that require them to be converted from different types and models of aero engines. Modified engines can be used for various commercial or particular military applications. An engine conversion involves the study of the technical issues regarding the conversion capability, which involves technical modifications and adaptations of the engine assembly, oil systems, and fuel control system. Then, it proceeds to find an adequate technical solution taking into consideration the working and environmental conditions, and then to bring the necessary modifications to the gas turbine in order to apply the new solutions practically.

In most cases, depending on the turbofans and turbojets’ power class, these engines are usually converted into turboshafts [9,10], or into a free turbine turboshaft. Globally, this involves removing the jet nozzle (JN) or the fan, and adding or integrating a power turbine module. There are some works [13,14,15,16] with a potential interest in adapting gas turbines for particular applications and examining the problems that can appear with the conversion process. These works show a particular analysis of operating regimes in different conditions in order to obtain maximum efficiency for aeroderivative engines which can be applied for the aviation or cogeneration industry [13,14,15,16].

Oftentimes, aviation engines that are at the end of their operation resource are transformed to operate in a new configuration for cogeneration, as their functioning can only present risks when used for aircraft propulsion, while some minor faults do not present a significant issue for energy production and research [4,5]. Usually, in similar works [14,15] close to our research, detailed experimental data are not shown; there are only some graphs with certain performance parameters, making the overall understanding and assessment of the application quite narrow, so in this way, the study evaluation of application can be limited [16,17,18]. In this paper, valid experimental data and real values are presented, as well as a series of graphs outlining curves variation of various performance parameters. These allow a more accessible evaluation of the engine operating line or engine working regimes.

2. Engine Presentation

The studies were carried out on two types of aviation engines, a turboprop engine, AI-20K, developed by Ivchenko Progress, and a Viper 632-41 turbojet, manufactured by Rolls-Royce. The AI-20K shown in Figure 1a is a one-spool turboprop axial flow engine, made of ten-stages axial compressor, an annular chamber, a three-stages axial turbine, an exhaust nozzle, a reduction gearbox, and a propeller. At International Standard Atmosphere (ISA) sea level conditions, the engine provides an equivalent power of 4000 eHP, at maximum engine rotational speed of 12,880 rpm, and an overall pressure ratio of 7.6:1, for an air mass flow of 20.7 kg/s, and a specific fuel consumption of 0.264 kg/HP/h [19]. The engine fuel is controlled through a constant speed law. The idle regime corresponding on engine speed of 80.75 + 1.6% ≈ 10,400 + 90 rpm, but for higher working regimes than idle, the engine speed increases to 95.7 + 0.7% ≈ 12,300 + 90 rpm [19]. The maximum turbine inlet temperature is ~1170 K [19].

The Viper 632-41 shown in Figure 1b is a one-spool turbojet axial flow engine, consisting of an axial compressor with eight stages, an annular chamber, an axial turbine in two stages, and an exhaust jet nozzle. At ISA sea level conditions, the engine ensures a thrust of 1812 kgf, at a maximum engine rotational speed of 13,760 rpm, and an overall pressure ratio of 5.9:1, for an air mass flow of 26.3 kg/s at a specific fuel consumption of 0.97 kgf/kg/h. The maximum turbine inlet temperature is ~1240 K [22].

In

Table 1. AI-20K and Viper 632-41 specified working regimes.

AI-20K Specified Working Regimes				Viper 632-41 Specified Working Regimes
N [%]	eP [eHP]	eSFC [kg/eHP/h]	FC [kg/h]	N [%]	TR [kgf]	SFC [kg/kgf/h]	FC [kg/h]
95.5 + 1	4000	0.264	1055	100	1812	0.970	1758
95.5 + 1	3400	0.280	952	98	1660	0.955	1583
95.5 + 1	2890	0.300	867	95	1454	0.937	1363
95.5 + 1	2380	0.332	790	60	267	1.465	392
80.8 + 2	-	-	-	40	97.4	2.560	249

are presented the engine working regimes defined through the percentage values of engine speed, specific fuel consumption, thrust or shaft power, extracted from engine manuals [19,22].

The functional experimental characteristics of the engine components were achieved by modifying the load after the turbine and testing the engines in the turbojet configuration. In this way, we simulated the free power turbine load, by varying the output section of the reaction nozzle. The engines were tested with different exhaust jet nozzle geometries, observing some engine main parameters (such as speed and gas turbine temperature). For a certain jet nozzle size, at the maximum regime, it was pursued to obtain similar values comparing to the reference data in the engine specifications and operation manuals, as intended in the original aviation configuration.

This paper presents a method of researching, through a series of experimental results, how a free turbine turboshaft can be implemented or developed, while being converted from a turboprop and a turbojet engine. Moreover, this paper assesses the influence of the exhaust jet nozzle geometry on the engines’ main parameters and presents the variation of these parameters from the maximum area of the outlet jet nozzle to the minimum allowed area, at every engine speed regime.

Considering that the engines were tested in a turbojet configuration, this involves some modifications to the engine assembly. In the case of the AI-20K turboprop, the exhaust nozzle and the propeller were removed, and in the case of the Viper 632-41 turbojet, only the extension exhaust tube was removed. Therefore, it was ensured that the engines were made ready to be equipped with the test jet nozzles.

3. Application Description

The current paper is based on two experimental works made in COMOTI from two particular applications of two aero engine types, a turboprop and a turbojet, in order to convert the engines into the same type, more exactly, into a free turbine turboshaft. These experimental works had as the main objective the experimental determination of the engine functional characteristics but also the operating line of the main components, such as the compressor, turbine, and jet nozzle.

The experimental results were obtained following the engines’ testing on the test bench [23], as shown in Figure 2 and Figure 3, as an internal application of the Romanian Research and Development Institute for Gas Turbines COMOTI.

4. Engine Instrumentation Model

4.1. Instrumentation Configuration

Generally, manufacturers present the engine constructive diagrams, or the engine components, delimited by a series of stations marked with numbers. The stations are the sections which define the inlet and the outlet of the compressor, turbine, and jet nozzle. So, the station 1 is defined as compressor inlet, station 2 is compressor outlet, station 3 is turbine inlet, station 4 is turbine outlet and station j is particular section of the jet nozzle. These stations represent a landmark on the definition of some parameters in case of a supplementary instrumentation of the engines.

Figure 4a below presents the stations of the AI-20K turboprop, according to the engine manual [19], and Figure 4b presents the stations of the Viper 632-41 turbojet, according to the engine manual [22].

Considering that the engines were tested in a turbojet configuration, this involves some modifications to the engine assembly. In the case of the AI-20K turboprop, the exhaust nozzle and the propeller were removed, and in the case of the Viper 632-41 turbojet, only the extension exhaust tube was removed. Therefore, the engines had been prepared to be equipped with the test jet nozzle.

The paper herein is based on two experimental works made in COMOTI from two particular applications of two aero engine types, a turboprop and a turbojet, in order to convert the engines into the same type, more exactly, into a free turbine turboshaft. These experimental works had as the main objective the experimental determination of the engine functional characteristics but also the operating line of the main components, such as the compressor, turbine, and jet nozzle.

As mentioned, the study of the engine’s operating line was based on datasets from both experimental works, containing a series of measured engine parameters obtained from bench tests. A control and monitoring system of the engines was required, which was realized through an instrumentation model consisting of command lines and parameters’ measuring lines. The instrumentation model involved additional instrumentation with a series of thermodynamic parameters, in the main engine stations, more precisely in the sections that define the inlet and outlet of the compressor, turbine, and exhaust jet nozzle.

The instrumentation model is based on the engine availability for installation and mounting instrumentation tests in the requested engine sections. Depending on the cross-section configuration and instrumentation availability, it can be established what types of parameters can be measured and what type of testing instrumentation can be installed. The engines are equipped with a minimum standard instrumentation, generally for providing information regarding the shaft speed, fuel flow, gases temperature, compressor outlet pressure, oil pressure, oil temperature, and vibrations.

In the case of gases temperature, there is no standard rule about where the temperature should be measured. Depending on the engine type, model, and manufacturer, the gases temperature can be measured at the turbine inlet, turbine outlet, as in the case of the AI-20K, or at the entry of the jet nozzle, as in the case of the Viper 632-41. The engines hold a standard instrumentation with a limited number of parameters which are sufficient to monitor the engine working. However, in order to perform studies on the operating line, an extra instrumentation was necessary to provide information about certain parameters. For testing configuration, some of these parameters are measured in two up to six points of the instrumentation.

Figure 5 presents the instrumentation scheme of the AI-20K for testing configuration. In the case of the AI-20K, the standard instrumentation parameters are the speed (N), turbine total outlet temperature (T_4t), and fuel flow (F_f). Additional parameters for AI-20K engine instrumentation application are the air inlet temperature (T₀), inlet differential static pressure (ΔP_s) relative to barometric pressure (P_b), compressor outlet static pressure (P_2s), compressor outlet total temperature (T₂), compressor bleed valve total temperature (T_{2_bv}), turbine outlet static pressure (P_4s), jet nozzle inlet total pressure (T_j), jet nozzle inlet static pressure (P_js), jet nozzle inlet total pressure (P_j), and thrust (TR).

Figure 6 presents the instrumentation scheme of the Viper 632-41 for the testing configuration. In the case of the Viper 632-41, the standard instrumentation parameters are the speed (N), jet nozzle inlet total temperature (T_jp), and fuel flow (F_f). Additional parameters for Viper 632-41 engine instrumentation application are not so different than those of the AI-20K engine, consisting of: air inlet temperature (T₀), inlet differential static pressure (ΔP_s) relative to barometric pressure (P_b), compressor outlet static pressure (P_2s), compressor outlet total temperature (T₂), jet nozzle inlet total pressure (T_j), jet nozzle inlet static pressure (P_js), jet nozzle inlet total pressure (P_j), and thrust (TR).

4.2. Engine Configurations for Testing

For conducting the experiments, the engine was controlled through a test bench operating system, globally consisting of a control system and a data acquisition system (DAQS). The engines were equipped with several jet nozzles with different outlet geometries. In the case of the AI-20K, the jet nozzles used have the following outlet diameters (D5), JN1 = 429.8 mm, JN2 = 384.7 mm, JN3 = 339.5 mm, JN4 = 320.8 mm, as presented and highlighted by specific colors in Figure 7. For each jet nozzle, the engine was tested from a minimum speed to a maximum speed, approximately at the same speed regime, starting with 60% with a step of 5% until at 100%.

In the case of the Viper 632-41 test, the used jet nozzles (JN) have the next outlet diameters (D5), JN1.C = 430.2 mm, JN2.D = 390.6 mm, JN3.B = 346.0 mm, JN4.E = 340.7 mm, as presented and highlighted by specific colors in Figure 8. Also, for each jet nozzle, the engine was tested from a minimum to a maximum speed, close at the same speed regime, starting with 40% with a step of 5% until at 100%.

From the experimental tests, it was determined that the jet nozzle with the smallest outlet cross section or diameter is the reference jet nozzle, since with this nozzle, in time of testing at maximum regime around 98%, the inlet turbine temperature achieves values close to the maximum allowed according to the engine manual or from the engine testing in flight configuration.

5. Mathematical Model

According to the instrumentation scheme and to the data acquisition system, a series of measured parameters can be acquired. Based on the experimentally measured parameters, several main parameters of the engine can be calculated using a computation model [24]. Considering that we have a high volume of experimental data, as the engines were tested with different jet nozzles, at different engine speed regimes, we will only present the relevant data for our study, relying on certain parameters of interest and performances, which have been measured or calculated.

In this paper, the calculated parameters are the mass air flow (M_af), the overall pressure ratio (π_C), the compressor overall adiabatic efficiency (η_C), the fuel flow (F_f), the turbine inlet temperature (T₃), and the turbine overall adiabatic efficiency (η_T). The mass air flow is calculated using the same method and mathematical model from our previous papers [25,26,27].

$$T_0, P_{\mathrm{b}}, \Delta P_{\mathrm{s}}\Rightarrow M_{af}$$

(1)

The compressor’s overall pressure ratio is determined using a method from a calculation model [25,26,27] which depends on the compressor outlet temperature (T₂), pressure (P_2s), and cross-sections (A₂).

$$T_2, P_{2\mathrm{s}}, A_2\Rightarrow P_2\Rightarrow {\mathsf{\pi }}_{\mathrm{C},\mathrm{t}}=P_2/P_1$$

(2)

The compressor’s overall adiabatic efficiency is determined using the same method of calculation from [24,25,26].

$$P_2, s_{2.\mathrm{i}\mathrm{d}}=s_1\Rightarrow T_{2.\mathrm{i}\mathrm{d}}$$

(3)

$$h_a\left(T\right), T_0, T_{2.\mathrm{i}\mathrm{d}}, T_2\Rightarrow {\mathsf{\eta }}_{\mathrm{C}}=\frac{I_{\mathrm{C}.\mathrm{i}\mathrm{d}}}{I_{\mathrm{C}}}=\frac{h_a\left(T_{2.id}\right)-h_a\left(T_0\right)}{h_a\left(T_2\right)-h_a\left(T_0\right)}$$

(4)

Considering that the AI-20K is a one-spool engine, which means that the overall specific work of the turbine is equal with the compressor’s total specific actual work, the first step to determine the total adiabatic efficiency of the turbine is to calculate the inlet turbine temperature (T₃) as demonstrated in our previous papers [24,25].

$$I_{\mathrm{T}}\cong I_{\mathrm{C}}\Rightarrow h_g\left(T_3\right)=I_{\mathrm{C}}+h_g\left(T_4\right)\Rightarrow T_3$$

(5)

The second step is to determine the overall turbine pressure at the outlet or the expansion degree, by using the following parameters and the second method from [25].

$$T_4, P_{4\mathrm{s}}, { A}_4\Rightarrow P_4\Rightarrow {\mathsf{\pi }}_{\mathrm{T},\mathrm{t}}=P_3/P_4$$

(6)

In the case of the Viper 632-41, the inlet turbine temperature (T₃) is determined from the energy equation of the combustion chamber, as is in the mathematical model in papers [24,25].

$$\left(M_{af}+F_f\right)·h_g\left(T_3\right)=M_{af}·h_a\left(T_2\right)+F_f·{LHV}_f·{\mathsf{\eta }}_{cch}\Rightarrow T_3$$

(7)

$$I_{\mathrm{T}}\cong I_{\mathrm{C}}\Rightarrow h_g\left(T_4\right)=h_g\left(T_3\right)-I_{\mathrm{C}}\Rightarrow T_4$$

(8)

Considering the ideal case when there is no total pressure loss from the turbine outlet to the jet nozzle inlet, the pressure in station 4 and in station j are assumed to be approximately equal.

$$P_4\cong P_{\mathrm{t}j}\Rightarrow P_4$$

(9)

Knowing the entropy conditions from station 3 and station 4.id, and using the information about the total outlet turbine pressure, we can determine the overall ideal temperature at the turbine outlet.

$$P_4, s_3=s_{4.\mathrm{i}\mathrm{d}}\Rightarrow T_{4.\mathrm{i}\mathrm{d}}$$

(10)

Therefore, we can conclude that in the case of both engines, the turbine overall adiabatic efficiency can be written in the following form as is presented in relation (11):

$$h_g\left(T\right), T_3, T_{4.\mathrm{i}\mathrm{d}}, T_4\Rightarrow {\mathsf{\eta }}_{\mathrm{C}}=\frac{I_{\mathrm{T}}}{I_{\mathrm{T}.\mathrm{i}\mathrm{d}}}=\frac{h_g\left(T_3\right)-h_g\left(T_4\right)}{h_g\left(T_3\right)-h_g\left(T_{4.\mathrm{i}\mathrm{d}}\right)}$$

(11)

The free power turbine load is viewed through the jet nozzle power (W_JN), which is the product between the gas flow (G_f) and the jet nozzle exhaust gas velocity (V_JN)

$${\mathrm{W}}_{JN}=G_f·\frac{{V_{JN}}^2}{2}$$

(12)

where the jet nozzle exhaust gas velocity is the ratio between the gas flow ($G_f$) and engine thrust ($TR$)

$$V_{JN}=\frac{TR}{G_f}$$

(13)

The jet nozzle power (${\mathrm{W}}_{JN}$) is the available power which can be converted into shaft power.

6. Experimental Result

The measured results and calculated results are shown in a series of tables which present the values of certain engine main parameters or performance, for each engine, at the same working speed regimes and for each jet nozzle geometry defined by the outlet cross-section diameter ($D_5$).

Table 2. AI-20K engine main data from each jet nozzle diameter at 76 ± 1% and 80 ± 1% speed regimes.

Param.	U.M.	Measured and Calculated Values at 76 ± 1%				Measured and Calculated Values at 80 ± 1%
		JN1	JN2	JN3	JN4	JN1	JN2	JN3	JN4
D5	mm	429.8	384.7	339.5	320.8	429.8	384.7	339.5	320.8
T0	°C	23.4	30.8	20.2	20.2	23.4	30.2	20.4	20.4
N	%	75.0	76.6	75.9	76.7	79.7	80.0	80.4	80.0
TR	kgf	160	207	302	353	202	249	389	437
Ff	l/h	446	485	554	691	490	525	636	690
Ma	kg/s	12.38	12.42	12.61	13.72	14.17	13.68	14.37	14.10
πC	-	3.287	3.368	3.520	3.523	3.777	3.760	4.062	4.074
T3	K	764	801	833	942	766	802	850	889
T4	K	638	669	707	821	615	656	699	752
πT	-	2.804	2.787	2.687	2.612	3.151	3.025	2.939	2.796
ηC	-	0.831	0.855	0.854	0.861	0.846	0.869	0.871	0.868
ηT	-	0.768	0.757	0.747	0.729	0.773	0.762	0.752	0.758
VJN	m/s	126	162	233	250	139	177	263	301
WJN	kW	98.7	164.6	344.6	432.1	137.5	216.2	501.7	644.6

presents the measured and calculated values for each jet nozzle diameter for 76 ± 1% and 80 ± 1% speed regimes of AI-20K engine.

Table 3. AI-20K engine main data from each jet nozzle diameter at 85 ± 2% and 89.8 ± 0.3% speed regimes.

Param.	U.M.	Measured and Calculated Values at 85 ± 2%				Measured and Calculated Values at 89.8 ± 0.3%
		JN1	JN2	JN3	JN4	JN1	JN2	JN3	JN4
D5	mm	429.8	384.7	339.5	320.8	429.8	384.7	339.5	320.8
T0	°C	23.5	30.2	20.2	20.2	23.6	29.8	19.9	19.9
N	%	84.9	85.1	84.7	84.9	89.5	90.0	89.8	90.2
TR	kgf	262	320	485	572	323	400	637	762
Ff	l/h	548	593	728	828	580	641	848	1005
Ma	kg/s	16.19	15.65	16.03	15.95	16.96	16.50	17.05	16.98
πC	-	4.356	4.321	4.589	4.729	4.959	4.962	5.422	5.596
T3	K	776	814	872	924	776	818	900	976
T4	K	606	652	710	769	591	636	714	792
πT	-	3.528	3.364	3.128	2.985	3.886	3.698	3.376	3.163
ηC	-	0.849	0.878	0.879	0.879	0.847	0.865	0.881	0.876
ηT	-	0.782	0.762	0.753	0.75	0.797	0.778	0.767	0.757
VJN	m/s	158	199	294	348	185	236	362	434
WJN	kW	202.5	312.2	698.9	975.7	293.7	462.6	1132.5	1623.8

presents the measured and calculated values for each jet nozzle diameter for 85 ± 2% and 89.8 ± 0.3% speed regimes of AI-20K engine.

Table 4. AI-20K engine main data from each jet nozzle diameter at 94.9 ± 0.2% and 97 ± 1% speed regimes.

Param.	U.M.	Measured and Calculated Values at 94.9 ± 0.2%				Measured and Calculated Values at 97 ± 1%
		JN1	JN2	JN3	JN4	JN1	JN2	JN3	JN4
D5	mm	429.8	384.7	339.5	320.8	429.8	384.7	339.5	320.8
T0	°C	23.3	30.5	20.2	20.2	23.2	30.0	19.8	19.8
N	%	95.1	94.6	94.7	94.8	97.7	97.9	97.6	96.0
TR	kgf	425	506	818	981	474	588	937	1043
Ff	l/h	674	736	1038	1258	726	821	1178	1330
Ma	kg/s	19.47	18.42	19.09	18.97	20.39	19.74	20.28	19.45
πC	-	5.762	5.626	6.222	6.460	6.113	6.117	6.722	6.689
T3	K	796	845	950	1044	814	869	985	1064
T4	K	597	651	757	840	604	662	785	855
πT	-	4.350	4.000	3.533	3.236	4.534	4.204	3.590	3.246
ηC	-	0.864	0.873	0.88	0.879	0.862	0.874	0.881	0.88
ηT	-	0.789	0.783	0.767	0.76	0.796	0.784	0.775	0.765
VJN	m/s	212	267	415	500	226	290	447	518
WJN	kW	442.9	662.9	1666.2	2405.2	526.0	835.0	2056.3	2650.5

presents the measured and calculated values for each jet nozzle diameter for 94.9 ± 0.2% and 97 ± 1% speed regimes ofAI-20K engine.

In the following charts, we present the variations of engine main parameters and certain performances of engine components reported to the engine speed. The charts were realized in such a way to have a better view of parameters variation. In the case of the AI-20K tested in a turbojet configuration, we plotted the graphs presented in the figures hereinafter. The variation curve of engine thrust (TR) and fuel flow (Ff) with engine speed (N) of the AI-20K in turbojet configuration are presented in Figure 9a,b for every jet nozzle.

In Figure 10a,b, we have plotted the variation curves of the outlet turbine gas temperature (T₄) and mass air flow (M_af) with engine speed (N), for the AI-20K in turbojet configuration for every jet nozzle.

Figure 11a,b shows the variation curves of the overall pressure ratio (π_Ct) and the exhaust gas velocity (V_JN) with engine speed (N), for the AI-20K in turbojet configuration.

The graphs from here onward have been plotted based on experimental data shown in

Table 5. Viper 632-41 main data from each jet nozzle diameter at around 75.1 ± 0.3% and 80.1 ± 0.4% speed regimes.

Param.	U.M.	Measured and Calculated Values at 75.1 ± 0.3%				Measured and Calculated Values at 80.1 ± 0.4%
		JN1	JN2	JN3	JN4	JN1	JN2	JN3	JN4
D5	mm	430.2	390.6	346	340.7	430.2	390.6	346.0	340.7
T0	°C	15.8	10.1	2.7	9.7	15.7	10.1	2.5	8.2
N	%	74.8	75.1	75.3	75.4	80.5	80.1	79.7	80.4
TR	kgf	272	358	554	550	352	450	693	713
Ff	l/h	549	609	818	818	617	690	949	946
Ma	kg/s	16.648	17.002	17.673	16.825	18.840	19.013	19.492	18.033
πC	-	2.778	2.889	3.132	3.064	3.193	3.287	3.534	3.562
T3	K	727	750	846	872	741	770	881	893
T4	K	628	650	750	779	626	654	777	741
πT	-	2.200	2.163	2.066	2.007	2.470	2.362	2.167	2.128
ηC	-	0.826	0.833	0.853	0.841	0.828	0.840	0.848	0.817
ηT	-	0.721	0.737	0.669	0.657	0.730	0.739	0.660	0.982
VJN	m/s	159	205	304	317	182	230	345	383
WJN	kW	212.3	359.8	827.0	855.8	314.1	508.3	1172.7	1340.7

,

Table 6. Viper 632-41 main data from each jet nozzle diameter at 85.1 ± 0.1% and 90.2 ± 0.4% speed regimes.

Param.	U.M.	Measured and Calculated Values at 85.1 ± 0.1%				Measured and Calculated Values at 90.2 ± 0.4%
		JN1	JN2	JN3	JN4	JN1	JN2	JN3	JN4
D5	mm	430.2	390.6	346	340.7	430.2	390.6	346	340.7
T0	°C	15.9	8.6	1.3	8.3	13.5	8.6	1.3	8.4
N	%	85.3	85.1	85.0	85.0	90.6	90.1	90	89.8
TR	kgf	428	554	922	817	568	730	1190	895
Ff	l/h	691	761	1138	1131	796	903	1422	1405
Ma	kg/s	20.802	20.372	20.976	19.915	22.548	22.703	23.289	22.094
πC	-	3.590	3.786	4.145	4.050	4.198	4.333	4.800	4.661
T3	K	756	777	920	947	777	812	991	1015
T4	K	628	610	758	784	597	634	827	847
πT	-	2.644	2.567	2.279	2.214	2.952	2.744	2.324	2.272
ηC	-	0.843	0.818	0.829	0.828	0.824	0.834	0.847	0.839
ηT	-	0.763	0.973	0.990	0.946	0.929	0.945	0.970	0.897
VJN	m/s	200	265	426	397	245	313	494	392
WJN	kW	420.6	718.9	1926.5	1592.4	683.1	1119.4	2886.2	1719.9

and

Table 7. Viper 632-41 main data from each jet nozzle diameter at 95 ± 1% and 98 +1% speed regimes.

Param.	U.M.	Measured and Calculated Values at 95 ± 1%				Measured and Calculated Values at 98 +1%
		JN1	JN2	JN3	JN4	JN1	JN2	JN3	JN4
D5	mm	430.2	390.6	346	340.7	430.2	390.6	346	340.7
T0	°C	13.8	8.6	1.5	8.2	13.8	8.7	1.5	8.2
N	%	96.0	96.0	94.8	95.8	98.1	98.1	98.0	98.1
TR	kgf	753	978	1548	1367	820	1052	1756	1585
Ff	l/h	998	1148	1843	1940	1071	1235	2132	2138
Ma	kg/s	25.344	25.668	25.946	25.303	26.074	26.314	27.198	26.112
πC	-	-	5.088	5.613	5.644	5.116	5.294	6.045	5.913
T3	K	833	877	1090	1141	856	901	1161	1190
T4	K	634	680	914	956	651	700	976	999
πT	-	3.210	2.907	2.348	2.299	3.284	2.944	2.351	2.289
ηC	-	0.829	0.831	0.852	0.847	0.820	0.827	0.830	0.835
ηT	-	0.910	0.929	0.854	0.885	0.897	0.922	0.855	0.885
VJN	m/s	289	370	576	521	306	388	622	585
WJN	kW	1067.1	1775.2	4374.1	3493.4	1229.5	2002.6	5360.8	4545.7

for the Viper-632 turbojet.

In Figure 12a,b, we plotted the variation curves of the engine thrust (TR) and fuel flow (F_f) with engine speed (N) for the Viper-632 turbojet for every jet nozzle.

In Figure 13a,b are presented the variation curves of the outlet turbine gas temperature (T₄) and the mass air flow (M_af) with engine speed (N), for the Viper 632-41 turbojet for every jet nozzle.

In Figure 14a,b is presented the variation curves of overall pressure ratio (π_C,t) and exhaust gas velocity (V_JN) with engine speed (N), for Viper 632-41 turbojet with every jet nozzle.

Figure 15a,b shows the variation curves of jet nozzle power (W_JN) with engine speed (N), for AI-20K jet nozzles and Viper 632 jet nozzles in turbojet configuration.

7. Discussion

The graphical results presented above demonstrate that when both AI-20K and Viper 632-41 engines are tested in a turbojet configuration, for every speed regime, the thrust (TR), mass air flow (M_af), fuel flow (F_f), overall pressure ratio (π_C), turbine temperatures (T₃, T₄), exhaust gas velocity (V_JN), and jet nozzle power (W_JN) increase ↗ with the decrease of nozzle outlet diameter (D₅) ↘. Only the turbine expansion degree (π_T) decreases ↘ with the decreasing of nozzle outlet diameter (D₅) ↘.

In order to facilitate a more comprehensive evaluation, the percentages variation (Δprm) and percentage difference variation (dprm) of the parameters and performance are calculated by reporting all values of all three nozzles to the values of the reference jet nozzle (JN.ref), which is the fourth jet nozzle (JN4) in the case of the AI-20K and of the third jet nozzle (JN3) in the case of the Viper 632-41.

$$\Delta {prm}_i \left[\%\right]=\frac{{prm}_i}{{prm}_{\left(97\%\right)}}·100 \left[\%\right]$$

(14)

$$dprm \left[\%\right]=\Delta prm-\Delta {prm}_{\left(JNref\right)} \left[\%\right]$$

(15)

At a closer look, it can be observed that the actual variation values are different from a jet nozzle to another, depending on engine speed, and the parameters do not vary in the same way, but the variation percentages of the real parameters obtained from tests, for every nozzle, have quite a similar dependence. The

Table 8. AI-20K thrust, outlet turbine temperature, and mass air flow percentage differences reported to the reference nozzle (JN4).

Speed	Thrust ΔTR [%]				Outlet Turbine Temperature ΔT4 [%]				Mass Air Flow ΔMaf [%]
[%]	JN1	JN2	JN3	JN4	JN1	JN2	JN3	JN4	JN1	JN2	JN3	JN4
75	−0.08	1.36	−1.61	33.84	16.11	7.64	−9.39	94.16	−9.82	−7.62	−8.36	70.54
80	0.72	0.45	−0.38	41.90	21.02	16.16	0.9	82.30	−3.00	−3.19	−1.63	72.49
85	0.43	−0.42	−3.08	54.84	15.38	12.21	0.13	85.22	−2.61	−2.73	−2.97	82.01
90	−4.92	−5.03	−5.08	73.06	6.89	4.14	−3.05	89.18	−4.12	−3.71	−3.23	87.30
95	−4.4	−8.01	−6.76	94.06	0.47	−0.25	−2.89	97.42	−2.04	−4.22	−3.40	97.53
97	0	0	0	100	0	0	0	100	0	0	0	100

,

Table 9. AI-20K overall pressure ratio, fuel flow, and inlet engine temperature percentages difference reported to the reference nozzle (JN4).

Speed	Overall Pressure Ratio ΔπC [%]				Fuel Flow ΔFf [%]				Inlet Engine Temperature ΔT3 [%]
[%]	JN1	JN2	JN3	JN4	JN1	JN2	JN3	JN4	JN1	JN2	JN3	JN4
75	1.10	2.39	−0.3	52.67	9.48	7.12	−4.92	51.95	5.33	3.64	−3.96	88.53
80	0.88	0.56	−0.48	60.91	15.61	12.07	2.11	51.88	10.55	8.74	2.74	83.55
85	0.56	−0.06	−2.43	70.70	13.22	9.97	−0.46	62.26	8.49	6.83	1.69	86.84
90	−2.54	−2.54	−3	83.66	4.33	2.52	−3.57	75.56	3.6	2.4	−0.36	91.73
95	−2.32	−4.61	−4.02	96.58	−1.75	−4.94	−6.47	94.59	−0.33	−0.88	−1.67	98.12
97	0	0	0	100	0	0	0	100	0	0	0	100

and

Table 10. AI-20K exhaust gas velocity and jet nozzle power percentage differences reported to the reference nozzle (JN4).

Speed	Exhaust Gas Velocity ΔVJN [%]				Jet Nozzle Power ΔWJN [%]
[%]	JN1	JN2	JN3	JN4	JN1	JN2	JN3	JN4
75	7.43	7.81	3.83	48.17	2.46	3.41	0.46	16.30
80	3.31	3.11	0.73	58.04	1.82	1.57	0.08	24.32
85	2.53	1.58	−1.45	67.12	1.68	0.58	−2.82	36.81
90	−1.89	−2.41	−2.84	83.85	−5.42	−5.86	−6.19	61.26
95	−2.54	−4.22	−3.66	96.48	−6.53	−11.35	−9.71	90.74
97	0	0	0	100.00	0	0	0	100.00

below displays the percentage variation of the parameters and performance of the fourth jet nozzle (JN4) for the AI-20K engine. Additionally, the table also presents the percentage difference variations for the other nozzles reported to the reference nozzle (JN.ref).

The

Table 11. Viper 632-41 thrust, outlet turbine temperature, and mass air flow percentage differences reported to the reference nozzle (JN3).

Speed	Thrust ΔTR [%]				Outlet Turbine Temperature ΔT4 [%]				Mass Air Flow ΔMaf [%]
[%]	JN1	JN2	JN3	JN4	JN1	JN2	JN3	JN4	JN1	JN2	JN3	JN4
75	1.62	2.48	31.55	3.15	19.59	16.02	76.82	1.1	−1.13	−0.37	64.98	−0.55
80	3.47	3.32	39.46	5.52	16.52	13.84	79.64	−5.49	0.59	0.58	71.67	−2.61
85	−0.31	1.1	52.51	−0.96	18.70	9.49	77.69	0.74	2.66	0.3	77.12	−0.85
90	1.5	1.62	67.77	−11.3	7.00	5.77	84.73	0.04	0.85	0.65	85.63	−1.02
95	3.68	4.82	88.15	−1.9	3.66	3.46	93.67	2.07	1.80	2.15	95.40	1.50
97	0	0	10	0	0.0	0.0	99.98	0.0	0	0	100	0

,

Table 12. Viper 632-41 overall pressure ratio, fuel flow, and inlet engine temperature percentage differences reported to the reference nozzle (JN3).

Speed	Overall Pressure Ratio ΔπC [%]				Fuel Flow ΔFf [%]				Inlet Engine Temperature ΔT3 [%]
[%]	JN1	JN2	JN3	JN4	JN1	JN2	JN3	JN4	JN1	JN2	JN3	JN4
75	2.51	2.76	51.80	0.02	12.89	10.94	38.37	−0.11	12.06	10.43	72.84	0.42
80	3.95	3.63	58.47	1.78	13.1	11.36	44.51	−0.26	10.68	9.48	75.92	−1.1
85	1.62	2.94	68.57	−0.08	11.14	8.24	53.38	−0.48	9.51	7	79.26	0.29
90	2.68	2.44	79.40	−0.57	7.62	6.42	66.70	−0.98	5.47	4.79	85.35	−0.03
95	-	3.25	92.86	2.59	6.74	6.52	86.44	4.3	3.44	3.4	93.90	2.01
97	0	0	100.01	0.0	0	0	100	0	0	0	100	0

and

Table 13. Viper 632-41 exhaust gas velocity and jet nozzle power percentage differences reported to the reference nozzle (JN3).

Speed	Exhaust Gas Velocity ΔVJN [%]				Jet Nozzle Power ΔWJN [%]
[%]	JN1	JN2	JN3	JN4	JN1	JN2	JN3	JN4
75	3.14	3.9	48.90	5.35	1.83	2.54	15.43	3.4
80	4.09	3.91	55.43	10.13	3.67	3.5	21.88	7.61
85	−2.9	0.96	68.44	−0.48	−1.73	1.27	35.94	−0.91
90	0.75	1.11	79.45	−12.44	1.72	2.06	53.84	−16
95	1.95	2.79	92.56	−3.45	5.19	7.04	81.60	−4.75
97	0	0	100.00	0	0	0	100.00	0

below presents the percentage variation of the parameters and performance of the third jet nozzle (JN3) in the case of the Viper 632-41. Additionally, the table also presents the percentage difference variations for the other nozzles reported to the reference nozzle (JN.ref).

In order to validate the measured parameters and calculated parameters obtained through the model calculation, a specific assessment is performed by calculating the percentage errors. This approach facilitates a comparison between the experimental results and the data extracted from the engine manual.

$$e_{prm}=\frac{{prm}_{JNref}}{{prm}_{man}}\cdot 100-100 [\%]$$

(16)

The comparison is suitable only at maximum operational regime due to the availability of specific data for additional parameters, such as air mass flow and overall pressure ratio. These values are provided only for the reference nozzle, the fourth jet nozzle (JN4) in the case of the AI-20K and the third jet nozzle (JN3) in the case of the Viper 632-41. In the case of the AI-20K engine, which operates as a turboprop that produces shaft power, the comparison was adapted in parameters for turbojet, as a testing configuration. Therefore, in the case of the AI-20K, if it is considering shaft power equally, jet nozzle power can be calculated with exhaust gas velocity and thrust reference values. In the case of the Viper 632-41 engine, the comparison is based on the same conditions because the engine was tested in the same configuration as the turbojet.

Table 14. AI-20K engine data at maximum regime based on the engine manual.

N	Engine Data			Calculated
[%]	P [kW]	FC [kg/h]	${\mathbf{M}}_{\mathbf{a}\mathbf{f}}$ [kg/s]	VJN [m/s]	F [kgf]
95	2877	1056	20.7	530	1099

presents data and calculated performance for maximum regime extracted from AI-20K engine manual.

Table 15. AI-20k measured and calculated parameters at maximum testing regime for JN4 nozzle.

Measured	Calculated	Measured	Calculated	Calculated	Measured
N [%]	WJN [kW]	FC [kg/h]	${\mathbf{M}}_{\mathbf{a}\mathbf{f}}$ [kg/s]	VJN [m/s]	F [kgf]
97	2651	1077	19.45	518	1043

presents measured and calculated parameters for maximum testing regime extracted for JN4 nozzle for AI-20K engine.

Table 16. AI-20K percentage errors values reported to the data manual.

ΔN	e.P [%]	e.FC [%]	${\mathbf{e}.\mathbf{M}}_{\mathbf{a}\mathbf{f}}$ [%}	e.VJN [%]	e.F [%]
2.0	−7.86	1.99	−6.0	−1.1	−5.10

presents the percentage errors reported to the data manual for AI-20K engine.

Table 17. Viper 632-41 engine data at maximum regime based on the engine manual.

N	Engine Data			Calculated
[%]	TR [kgf]	FC [kg/h]	${\mathbf{M}}_{\mathbf{a}\mathbf{f}}$ [kg/s]	VJN [m/s]	WJN [kW]
100	1812	1758	26.3	664	5898

presents data and calculated performance for maximum regime extracted from Viper 632-41 engine manual.

Table 18. Viper 632-41 measured and calculated parameters at maximum testing regime for JN3 nozzle.

Measured	Measured	Measured	Calculated	Calculated	Calculated
N [%]	TR [Kgf]	FC [kg/h]	${\mathbf{M}}_{\mathbf{a}\mathbf{f}}$ [kg/s]	VJN [m/s]	WJN [kW]
97	1756	1727	27.2	622	5361

presents measured and calculated parameters for maximum testing regime extracted for JN3 nozzle for Viper 632-41 engine.

Table 19. Viper 632-41 percentage errors values reported to the data manual.

ΔN	e.TR [%]	e.FC [%]	${\mathit{e}.\mathit{M}}_{\mathit{a}\mathit{f}}$ [%]	e.VJN [%]	e.WJN [%]
−3.0	−3.09	−1.77	3.42	−6.33	−9.10

presents the percentage errors reported to the data manual for Viper 632-41 engine.

It is observed that the biggest difference is 9% only for the jet nozzle power and 6% for the exhaust gas velocity; the rest of the parameters are maximum 3.5%. Also, it can be observed that these differences are negative which means that the experimental values are lower than the data manual. One of the reasons is that the engines were tested at a difference of speed regime around 2% in the case of the AI-20K engine and 3% in the case of the Viper 632-41, and not to the maximum regime indicated in the manual. Therefore, if the engines were tested at the same maximum regime, theoretically, the differences will decrease with 2 ÷ 3%, resulting in a maximum difference of 6%, thus do not exceed by much the acceptable error limit.

8. Conclusions

This paper presents an experimental study conducted on two types of aviation engines, focusing on the working regimes, depending on their application, following the engine testing into the same engine configuration. The two engines, an AI-20K turboprop and a Viper 632-61 turbojet, were tested in turbojet configuration with different exhaust nozzle geometries, in order to evaluate the working parameters, and implicitly the working lines of compressor and turbines. The impact of the outlet nozzle diameter dimensions on values of engine parameters has been assessed. Special attention was paid to turbine parameters, since the main purpose was to modify the engines to operate as free turbine turboshafts. The gas turbines were tested with various customized jet nozzles, in similar transitory regimes, by varying the speed. Subsequently, a series of experimental data have been obtained, which were analyzed and used in the mathematical model, in order to determine the variations of the performance parameters from minimum to a maximum speed for every jet nozzle installed. The experimental research presented herein can be relevant for the evaluation of engine working regimes and engine configurations for similar applications considering thermodynamic analysis and testing configurations.