Nonlinear Modeling and Analysis of Pressure Wave inside CEUP Fuel Pipeline

Operating conditions dependent large pressure variations are one of the working characteristics of combination electronic unit pump (CEUP) fuel injection system for diesel engines. We propose a precise and accurate nonlinear numerical model of pressure inside HP fuel pipeline of CEUP using wave equa...

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Main Authors: Qaisar Hayat, Liyun Fan, Enzhe Song, Xiuzhen Ma, Bingqi Tian, Naeim Farouk
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2014/521859
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spelling doaj-1b2c3b5086624e2da7f31eafed23a7692020-11-24T21:57:33ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472014-01-01201410.1155/2014/521859521859Nonlinear Modeling and Analysis of Pressure Wave inside CEUP Fuel PipelineQaisar Hayat0Liyun Fan1Enzhe Song2Xiuzhen Ma3Bingqi Tian4Naeim Farouk5College of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, ChinaCollege of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, ChinaCollege of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, ChinaCollege of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, ChinaCollege of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, ChinaCollege of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, ChinaOperating conditions dependent large pressure variations are one of the working characteristics of combination electronic unit pump (CEUP) fuel injection system for diesel engines. We propose a precise and accurate nonlinear numerical model of pressure inside HP fuel pipeline of CEUP using wave equation (WE) including both viscous and frequency dependent frictions. We have proved that developed hyperbolic approximation gives more realistic description of pressure wave as compared to classical viscous damped wave equation. Frictional effects of various frequencies on pressure wave have been averaged out across valid frequencies to represent the combined effect of all frequencies on pressure wave. Dynamic variations of key fuel properties including density, acoustic wave speed, and bulk modulus with varying pressures have also been incorporated. Based on developed model we present analysis on effect of fuel pipeline length on pressure wave propagation and variation of key fuel properties with both conventional diesel and alternate fuel rapeseed methyl ester (RME) for CEUP pipeline.http://dx.doi.org/10.1155/2014/521859
collection DOAJ
language English
format Article
sources DOAJ
author Qaisar Hayat
Liyun Fan
Enzhe Song
Xiuzhen Ma
Bingqi Tian
Naeim Farouk
spellingShingle Qaisar Hayat
Liyun Fan
Enzhe Song
Xiuzhen Ma
Bingqi Tian
Naeim Farouk
Nonlinear Modeling and Analysis of Pressure Wave inside CEUP Fuel Pipeline
Mathematical Problems in Engineering
author_facet Qaisar Hayat
Liyun Fan
Enzhe Song
Xiuzhen Ma
Bingqi Tian
Naeim Farouk
author_sort Qaisar Hayat
title Nonlinear Modeling and Analysis of Pressure Wave inside CEUP Fuel Pipeline
title_short Nonlinear Modeling and Analysis of Pressure Wave inside CEUP Fuel Pipeline
title_full Nonlinear Modeling and Analysis of Pressure Wave inside CEUP Fuel Pipeline
title_fullStr Nonlinear Modeling and Analysis of Pressure Wave inside CEUP Fuel Pipeline
title_full_unstemmed Nonlinear Modeling and Analysis of Pressure Wave inside CEUP Fuel Pipeline
title_sort nonlinear modeling and analysis of pressure wave inside ceup fuel pipeline
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2014-01-01
description Operating conditions dependent large pressure variations are one of the working characteristics of combination electronic unit pump (CEUP) fuel injection system for diesel engines. We propose a precise and accurate nonlinear numerical model of pressure inside HP fuel pipeline of CEUP using wave equation (WE) including both viscous and frequency dependent frictions. We have proved that developed hyperbolic approximation gives more realistic description of pressure wave as compared to classical viscous damped wave equation. Frictional effects of various frequencies on pressure wave have been averaged out across valid frequencies to represent the combined effect of all frequencies on pressure wave. Dynamic variations of key fuel properties including density, acoustic wave speed, and bulk modulus with varying pressures have also been incorporated. Based on developed model we present analysis on effect of fuel pipeline length on pressure wave propagation and variation of key fuel properties with both conventional diesel and alternate fuel rapeseed methyl ester (RME) for CEUP pipeline.
url http://dx.doi.org/10.1155/2014/521859
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AT xiuzhenma nonlinearmodelingandanalysisofpressurewaveinsideceupfuelpipeline
AT bingqitian nonlinearmodelingandanalysisofpressurewaveinsideceupfuelpipeline
AT naeimfarouk nonlinearmodelingandanalysisofpressurewaveinsideceupfuelpipeline
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