Estimation of the Time-Varying High-Intensity Heat Flux for a Two-Layer Hollow Cylinder

Gun barrels are subjected to time-varying high-intensity heat flux under multiple firing, which may damage the material and limit the overall performance of the gun. In order to monitor the thermal state of a gun barrel, an inverse method coupling the finite difference method with the sequential fun...

Full description

Bibliographic Details
Main Authors: Lihui Zhang, Zhenzhen Chen, Donghui Wen, Xudong Wang, Daqian Zhang, Jun Liang
Format: Article
Language:English
Published: MDPI AG 2018-11-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/11/12/3332
_version_ 1798003904386957312
author Lihui Zhang
Zhenzhen Chen
Donghui Wen
Xudong Wang
Daqian Zhang
Jun Liang
author_facet Lihui Zhang
Zhenzhen Chen
Donghui Wen
Xudong Wang
Daqian Zhang
Jun Liang
author_sort Lihui Zhang
collection DOAJ
description Gun barrels are subjected to time-varying high-intensity heat flux under multiple firing, which may damage the material and limit the overall performance of the gun. In order to monitor the thermal state of a gun barrel, an inverse method coupling the finite difference method with the sequential function specification method was developed to estimate the unknown time-varying heat flux imposed on the inner wall of a gun barrel. A two-layer hollow cylindrical tube was assumed with the convection heat transfer boundary condition on the outer wall of the tube. A direct heat transfer model was developed, and was used to estimate the temporal distribution of boundary heat flux in approximately real time based on the measured transient temperature at some positions on the outer wall of the gun barrel. Numerical tests were performed to verify the effectiveness and reliability of this method by investigating the influence of temperature measurement noises and future time step selection. The results show that the proposed method has high precision and efficiency in extracting the time-varying heat flux under one-shot and three-shot firing conditions. When there is a measurement noise, this method has good anti-illness characteristics and can achieve better results by appropriately selecting the value of a future time step.
first_indexed 2024-04-11T12:16:25Z
format Article
id doaj.art-a1170ee11447465ead555e0bc2f8f570
institution Directory Open Access Journal
issn 1996-1073
language English
last_indexed 2024-04-11T12:16:25Z
publishDate 2018-11-01
publisher MDPI AG
record_format Article
series Energies
spelling doaj.art-a1170ee11447465ead555e0bc2f8f5702022-12-22T04:24:19ZengMDPI AGEnergies1996-10732018-11-011112333210.3390/en11123332en11123332Estimation of the Time-Varying High-Intensity Heat Flux for a Two-Layer Hollow CylinderLihui Zhang0Zhenzhen Chen1Donghui Wen2Xudong Wang3Daqian Zhang4Jun Liang5Key Laboratory of Special Purpose Equipment and Advanced Processing Technology, Ministry of Education & Zhejiang Province, Zhejiang University of Technology, Hangzhou 310014, ChinaKey Laboratory of Special Purpose Equipment and Advanced Processing Technology, Ministry of Education & Zhejiang Province, Zhejiang University of Technology, Hangzhou 310014, ChinaKey Laboratory of Special Purpose Equipment and Advanced Processing Technology, Ministry of Education & Zhejiang Province, Zhejiang University of Technology, Hangzhou 310014, ChinaKey Laboratory of Energy Thermal Conversion and Control of Ministry of Education, School of Energy and Environment, Southeast University, Nanjing 210096, ChinaKey Laboratory of Low-Grade Energy Utilization Technologies and Systems of Ministry of Education, School of Energy and Power Engineering, Chongqing University, Chongqing 400030, ChinaKey Laboratory of Special Purpose Equipment and Advanced Processing Technology, Ministry of Education & Zhejiang Province, Zhejiang University of Technology, Hangzhou 310014, ChinaGun barrels are subjected to time-varying high-intensity heat flux under multiple firing, which may damage the material and limit the overall performance of the gun. In order to monitor the thermal state of a gun barrel, an inverse method coupling the finite difference method with the sequential function specification method was developed to estimate the unknown time-varying heat flux imposed on the inner wall of a gun barrel. A two-layer hollow cylindrical tube was assumed with the convection heat transfer boundary condition on the outer wall of the tube. A direct heat transfer model was developed, and was used to estimate the temporal distribution of boundary heat flux in approximately real time based on the measured transient temperature at some positions on the outer wall of the gun barrel. Numerical tests were performed to verify the effectiveness and reliability of this method by investigating the influence of temperature measurement noises and future time step selection. The results show that the proposed method has high precision and efficiency in extracting the time-varying heat flux under one-shot and three-shot firing conditions. When there is a measurement noise, this method has good anti-illness characteristics and can achieve better results by appropriately selecting the value of a future time step.https://www.mdpi.com/1996-1073/11/12/3332Boundary heat fluxinverse heat transfersequential function specification methodnumerical simulation
spellingShingle Lihui Zhang
Zhenzhen Chen
Donghui Wen
Xudong Wang
Daqian Zhang
Jun Liang
Estimation of the Time-Varying High-Intensity Heat Flux for a Two-Layer Hollow Cylinder
Energies
Boundary heat flux
inverse heat transfer
sequential function specification method
numerical simulation
title Estimation of the Time-Varying High-Intensity Heat Flux for a Two-Layer Hollow Cylinder
title_full Estimation of the Time-Varying High-Intensity Heat Flux for a Two-Layer Hollow Cylinder
title_fullStr Estimation of the Time-Varying High-Intensity Heat Flux for a Two-Layer Hollow Cylinder
title_full_unstemmed Estimation of the Time-Varying High-Intensity Heat Flux for a Two-Layer Hollow Cylinder
title_short Estimation of the Time-Varying High-Intensity Heat Flux for a Two-Layer Hollow Cylinder
title_sort estimation of the time varying high intensity heat flux for a two layer hollow cylinder
topic Boundary heat flux
inverse heat transfer
sequential function specification method
numerical simulation
url https://www.mdpi.com/1996-1073/11/12/3332
work_keys_str_mv AT lihuizhang estimationofthetimevaryinghighintensityheatfluxforatwolayerhollowcylinder
AT zhenzhenchen estimationofthetimevaryinghighintensityheatfluxforatwolayerhollowcylinder
AT donghuiwen estimationofthetimevaryinghighintensityheatfluxforatwolayerhollowcylinder
AT xudongwang estimationofthetimevaryinghighintensityheatfluxforatwolayerhollowcylinder
AT daqianzhang estimationofthetimevaryinghighintensityheatfluxforatwolayerhollowcylinder
AT junliang estimationofthetimevaryinghighintensityheatfluxforatwolayerhollowcylinder