Standardizing the Ignition Delay Time Measurements of Rapid Compression Machine: An Inverse Application of the Livengood–Wu Integral Method

The rapid compression machine measures ignition delay time at high pressures and low to intermediate temperatures. However, unavoidable facility effects, such as compression and heat loss, shift the measurements away from ideal (adiabatic and constant volume) values to varying extents. Consequently,...

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Main Authors: Zhonghao Zhao, Yingtao Wu
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Energies
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Online Access:https://www.mdpi.com/1996-1073/18/1/165
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author Zhonghao Zhao
Yingtao Wu
author_facet Zhonghao Zhao
Yingtao Wu
author_sort Zhonghao Zhao
collection DOAJ
description The rapid compression machine measures ignition delay time at high pressures and low to intermediate temperatures. However, unavoidable facility effects, such as compression and heat loss, shift the measurements away from ideal (adiabatic and constant volume) values to varying extents. Consequently, the ignition delay times measured by different facilities can be in large deviations, especially for fuel mixtures without negative temperature coefficient behavior. To address this issue, this work proposes a standardization algorithm that correlates the measurements to the ideal ignition delay times. The algorithm applies the Livengood–Wu integral method inversely and adopts a Bayesian approach to optimize the correlation parameters. The ignition delay times of an ethanol mixture under distinct facility effects were further used to test the performance of this algorithm. The results show that the dispersed ignition delay times can be effectively standardized within 20%, facilitating the direct comparison of measurements from different facilities. By setting a proper residual target of the algorithm, reasonable standardization accuracy can be achieved. This method enables a significantly easier interpretation of the rapid compression machine experimental data and can be broadly applied to any fuel mixtures exhibiting single-stage ignition characteristics.
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institution Kabale University
issn 1996-1073
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series Energies
spelling doaj-art-2ad8f5d4921946c89661228b222c158a2025-01-10T13:17:17ZengMDPI AGEnergies1996-10732025-01-0118116510.3390/en18010165Standardizing the Ignition Delay Time Measurements of Rapid Compression Machine: An Inverse Application of the Livengood–Wu Integral MethodZhonghao Zhao0Yingtao Wu1Petroleum, Oil & Lubricants Department in Army Logistics Academy of PLA, Chongqing 401311, ChinaPetroleum, Oil & Lubricants Department in Army Logistics Academy of PLA, Chongqing 401311, ChinaThe rapid compression machine measures ignition delay time at high pressures and low to intermediate temperatures. However, unavoidable facility effects, such as compression and heat loss, shift the measurements away from ideal (adiabatic and constant volume) values to varying extents. Consequently, the ignition delay times measured by different facilities can be in large deviations, especially for fuel mixtures without negative temperature coefficient behavior. To address this issue, this work proposes a standardization algorithm that correlates the measurements to the ideal ignition delay times. The algorithm applies the Livengood–Wu integral method inversely and adopts a Bayesian approach to optimize the correlation parameters. The ignition delay times of an ethanol mixture under distinct facility effects were further used to test the performance of this algorithm. The results show that the dispersed ignition delay times can be effectively standardized within 20%, facilitating the direct comparison of measurements from different facilities. By setting a proper residual target of the algorithm, reasonable standardization accuracy can be achieved. This method enables a significantly easier interpretation of the rapid compression machine experimental data and can be broadly applied to any fuel mixtures exhibiting single-stage ignition characteristics.https://www.mdpi.com/1996-1073/18/1/165rapid compression machineignition delay timefacility effectstandardizationinverse Livengood–Wu integral
spellingShingle Zhonghao Zhao
Yingtao Wu
Standardizing the Ignition Delay Time Measurements of Rapid Compression Machine: An Inverse Application of the Livengood–Wu Integral Method
Energies
rapid compression machine
ignition delay time
facility effect
standardization
inverse Livengood–Wu integral
title Standardizing the Ignition Delay Time Measurements of Rapid Compression Machine: An Inverse Application of the Livengood–Wu Integral Method
title_full Standardizing the Ignition Delay Time Measurements of Rapid Compression Machine: An Inverse Application of the Livengood–Wu Integral Method
title_fullStr Standardizing the Ignition Delay Time Measurements of Rapid Compression Machine: An Inverse Application of the Livengood–Wu Integral Method
title_full_unstemmed Standardizing the Ignition Delay Time Measurements of Rapid Compression Machine: An Inverse Application of the Livengood–Wu Integral Method
title_short Standardizing the Ignition Delay Time Measurements of Rapid Compression Machine: An Inverse Application of the Livengood–Wu Integral Method
title_sort standardizing the ignition delay time measurements of rapid compression machine an inverse application of the livengood wu integral method
topic rapid compression machine
ignition delay time
facility effect
standardization
inverse Livengood–Wu integral
url https://www.mdpi.com/1996-1073/18/1/165
work_keys_str_mv AT zhonghaozhao standardizingtheignitiondelaytimemeasurementsofrapidcompressionmachineaninverseapplicationofthelivengoodwuintegralmethod
AT yingtaowu standardizingtheignitiondelaytimemeasurementsofrapidcompressionmachineaninverseapplicationofthelivengoodwuintegralmethod