Local sensitivity analysis for the heat flux-temperature integral relationship in the half-space
type: Item
instance of: scholarly article
title: Local sensitivity analysis for the heat flux-temperature integral relationship in the half-space
zbMATH Open document ID: 1205.80018
author: D. Kharzeev
published in: Applied Mathematics and Computation
publication date: 2010-10-11T00:00:00Z
review text: The paper provides an insight into the heat flux-temperature integral relationship based on locally averaged thermophysical properties. This relationship is often used in one-dimensional, transient heat transfer studies entailing null-point calorimetry and heat flux research and is an extremely useful tool for simplifying analysis and providing reasonable results to many experimental studies. This investigation focuses on short transient studies where energy has not fully penetrated the body as the result of an imposed surface heating condition. A full nonlinear heat transfer model with temperature dependent thermophysical properties is developed involving a half-space planar region. Temperature results are then introduced into the constant property integral relationship and a newly derived Kirchoff integral relationship for retrieving the local heat flux. The fully nonlinear results and locally linearized system are observed to be in good agreement. Also, a sensitivity study is described which involves perturbing the average thermophysical properties of thermal conductivity and heat capacity.
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35Q79
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 5798117
zbMATH Keywords: heat conduction
zbMATH Keywords: integral relationship
zbMATH Keywords: sensitivity analysis
zbMATH Keywords: Kirchoff transformation
MaRDI profile type: Publication
full work available at URL: j.amc.2010.05.070
OpenAlex ID: W2075270285
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DOI: 10.1016/J.AMC.2010.05.070
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description: scientific article; zbMATH DE number 5798117