Identification of the Parameters of the Szpica–Warakomski Method’s Rectilinear Trend Complementary to the Gaussian Characteristic Area Method in the Functional Evaluation of Gas Injectors

The Fit for 55 and Euro 7 regulations significantly reduce CO<sub>2</sub> emissions from combustion sources. This will be reflected in the regulations governing the approval of in-service vehicles, including those using alternative fuels. The present study focused on the rapid diagnostic...

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Main Authors: Dariusz Szpica, Jacek Hunicz, Andrzej Borawski, Grzegorz Mieczkowski, Paweł Woś, Bragadeshwaran Ashok
Format: Article
Language:English
Published: MDPI AG 2025-06-01
Series:Sensors
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Online Access:https://www.mdpi.com/1424-8220/25/13/4020
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author Dariusz Szpica
Jacek Hunicz
Andrzej Borawski
Grzegorz Mieczkowski
Paweł Woś
Bragadeshwaran Ashok
author_facet Dariusz Szpica
Jacek Hunicz
Andrzej Borawski
Grzegorz Mieczkowski
Paweł Woś
Bragadeshwaran Ashok
author_sort Dariusz Szpica
collection DOAJ
description The Fit for 55 and Euro 7 regulations significantly reduce CO<sub>2</sub> emissions from combustion sources. This will be reflected in the regulations governing the approval of in-service vehicles, including those using alternative fuels. The present study focused on the rapid diagnostics of the technical condition of gas injectors. The test method was a modification of the Gaussian characteristic fields method using the Szpica–Warakomski rectilinear trend. The flow tests resulted in average volumetric intensities of 111 NL/min and 124 NL/min, depending on the operating conditions. The opening and closing times were in the range of (1.3…3.5) ms. The directional parameter of the rectilinear trend, which is important from the point of view of the analyses, was 0.97 for brand new (BN) injectors and 1.00 for in-service (IO) injectors. The intersection parameters were 0.64 and 0.24, respectively. The qualitative evaluation yielded coefficients of determination of 95.01 and 94.07. The values of the trend parameters were strongly dependent on the design solution and model/type of injector. Inferring the effect of operating condition on the trend parameter values, a one-factor analysis of variance was performed, which showed the significance of only the directional coefficient. A comparison of the same BN and IO injector model showed an apparent change in the value of the intercept only. No significant relationships between the injector opening and closing times and the trend parameters were shown. Thus, the usefulness of using the Szpica–Warakomski rectilinear trend in the functional evaluation of gas injectors of different designs and under different operating conditions was demonstrated.
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spelling doaj-art-622efdaa98c54569a8fcf190aa67a7602025-08-20T03:50:17ZengMDPI AGSensors1424-82202025-06-012513402010.3390/s25134020Identification of the Parameters of the Szpica–Warakomski Method’s Rectilinear Trend Complementary to the Gaussian Characteristic Area Method in the Functional Evaluation of Gas InjectorsDariusz Szpica0Jacek Hunicz1Andrzej Borawski2Grzegorz Mieczkowski3Paweł Woś4Bragadeshwaran Ashok5Faculty of Mechanical Engineering, Bialystok University of Technology, 45 Wiejska Str., 15-351 Bialystok, PolandFaculty of Mechanical Engineering, Lublin University of Technology, 36 Nadbystrzycka Str., 20-618 Lublin, PolandFaculty of Mechanical Engineering, Bialystok University of Technology, 45 Wiejska Str., 15-351 Bialystok, PolandFaculty of Mechanical Engineering, Bialystok University of Technology, 45 Wiejska Str., 15-351 Bialystok, PolandFaculty of Mechanical Engineering and Aeronautics, Rzeszow University of Technology, 12 Powstancow Warszawy Str., 35-959 Rzeszow, PolandDepartment of Automotive Engineering, Vellore Institute of Technology, School of Mechanical Engineering, Vellore 632014, IndiaThe Fit for 55 and Euro 7 regulations significantly reduce CO<sub>2</sub> emissions from combustion sources. This will be reflected in the regulations governing the approval of in-service vehicles, including those using alternative fuels. The present study focused on the rapid diagnostics of the technical condition of gas injectors. The test method was a modification of the Gaussian characteristic fields method using the Szpica–Warakomski rectilinear trend. The flow tests resulted in average volumetric intensities of 111 NL/min and 124 NL/min, depending on the operating conditions. The opening and closing times were in the range of (1.3…3.5) ms. The directional parameter of the rectilinear trend, which is important from the point of view of the analyses, was 0.97 for brand new (BN) injectors and 1.00 for in-service (IO) injectors. The intersection parameters were 0.64 and 0.24, respectively. The qualitative evaluation yielded coefficients of determination of 95.01 and 94.07. The values of the trend parameters were strongly dependent on the design solution and model/type of injector. Inferring the effect of operating condition on the trend parameter values, a one-factor analysis of variance was performed, which showed the significance of only the directional coefficient. A comparison of the same BN and IO injector model showed an apparent change in the value of the intercept only. No significant relationships between the injector opening and closing times and the trend parameters were shown. Thus, the usefulness of using the Szpica–Warakomski rectilinear trend in the functional evaluation of gas injectors of different designs and under different operating conditions was demonstrated.https://www.mdpi.com/1424-8220/25/13/4020combustion enginesalternative fuel supplylow-pressure gas-phase injectorresearch
spellingShingle Dariusz Szpica
Jacek Hunicz
Andrzej Borawski
Grzegorz Mieczkowski
Paweł Woś
Bragadeshwaran Ashok
Identification of the Parameters of the Szpica–Warakomski Method’s Rectilinear Trend Complementary to the Gaussian Characteristic Area Method in the Functional Evaluation of Gas Injectors
Sensors
combustion engines
alternative fuel supply
low-pressure gas-phase injector
research
title Identification of the Parameters of the Szpica–Warakomski Method’s Rectilinear Trend Complementary to the Gaussian Characteristic Area Method in the Functional Evaluation of Gas Injectors
title_full Identification of the Parameters of the Szpica–Warakomski Method’s Rectilinear Trend Complementary to the Gaussian Characteristic Area Method in the Functional Evaluation of Gas Injectors
title_fullStr Identification of the Parameters of the Szpica–Warakomski Method’s Rectilinear Trend Complementary to the Gaussian Characteristic Area Method in the Functional Evaluation of Gas Injectors
title_full_unstemmed Identification of the Parameters of the Szpica–Warakomski Method’s Rectilinear Trend Complementary to the Gaussian Characteristic Area Method in the Functional Evaluation of Gas Injectors
title_short Identification of the Parameters of the Szpica–Warakomski Method’s Rectilinear Trend Complementary to the Gaussian Characteristic Area Method in the Functional Evaluation of Gas Injectors
title_sort identification of the parameters of the szpica warakomski method s rectilinear trend complementary to the gaussian characteristic area method in the functional evaluation of gas injectors
topic combustion engines
alternative fuel supply
low-pressure gas-phase injector
research
url https://www.mdpi.com/1424-8220/25/13/4020
work_keys_str_mv AT dariuszszpica identificationoftheparametersoftheszpicawarakomskimethodsrectilineartrendcomplementarytothegaussiancharacteristicareamethodinthefunctionalevaluationofgasinjectors
AT jacekhunicz identificationoftheparametersoftheszpicawarakomskimethodsrectilineartrendcomplementarytothegaussiancharacteristicareamethodinthefunctionalevaluationofgasinjectors
AT andrzejborawski identificationoftheparametersoftheszpicawarakomskimethodsrectilineartrendcomplementarytothegaussiancharacteristicareamethodinthefunctionalevaluationofgasinjectors
AT grzegorzmieczkowski identificationoftheparametersoftheszpicawarakomskimethodsrectilineartrendcomplementarytothegaussiancharacteristicareamethodinthefunctionalevaluationofgasinjectors
AT pawełwos identificationoftheparametersoftheszpicawarakomskimethodsrectilineartrendcomplementarytothegaussiancharacteristicareamethodinthefunctionalevaluationofgasinjectors
AT bragadeshwaranashok identificationoftheparametersoftheszpicawarakomskimethodsrectilineartrendcomplementarytothegaussiancharacteristicareamethodinthefunctionalevaluationofgasinjectors