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2021 | OriginalPaper | Chapter

Estimation of Boundary Heat Flux with Conjugate Gradient Method by Experimental Transient Temperature Data

Authors : Parth Sathavara, Ajit Kumar Parwani, Maulik Panchal, Paritosh Chaudhuri

Published in: Recent Advances in Mechanical Infrastructure

Publisher: Springer Singapore

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Abstract

In this work, the estimation of heat flux for one-dimensional transient heat conduction problem has been done with the help of the search-based conjugate gradient method with an adjoint problem. The finite volume approach is applied to discretize the differential equations which are solved by using developed in-house MATLAB code. The novelty of this paper is justified as the required temperature data to solve the CGM algorithm are obtained by using real-time experimentation instead of performing the numerical simulation. The RMS error of the estimation of heat flow is obtained from that we can conclude that the accuracy is increased by using multiple sensors. The value of estimated heat flux is affected by the measurement errors which is inherently present in the measurement data.

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Weisz-Patrault D, Ehrlacher A, Legrand N (2014) Temperature and heat flux fast estimation during rolling process. Int J Therm Sci 75:1–20CrossRef

Cui M, Yang K, Liu YF, Gao XW (2012) Inverse estimation of transient heat flux to slab surface. J Iron Steel Res Int 19(11):13e18

Zhou J, Zhang Y, Chen JK, Feng ZC (2010) Inverse heat conduction using measured back surface temperature and heat flux. J. Thermophys. Heat Transfer 24(1):262

Yu XC, Bai YG, Cui M, Gao XW (2013) Inverse analysis of thermal conductivities in transient non-homogeneous and non-linear heat conductions using BEM based on complex variable differentiation method. Sci. China Phys. Mech. Astron. 56(5):966–973CrossRef

Lin DTW, Yang CY, Li JC, Wang CC (2011) Inverse estimation of the unknown heat flux boundary with irregular shape fins. Int J Heat Mass Transf 54(25–26):5275–5285CrossRef

Lin SM (2011) A sequential algorithm and error sensitivity analysis for the inverse heat conduction problems with multiple heat sources. Appl Math Model 35(6):2607–2617. https://doi.org/10.1016/j.apm.2010.11.015MathSciNetCrossRefMATH

Liu FB (2011) A hybrid method for the inverse heat transfer of estimating fluid thermal conductivity and heat capacity. Int J Therm Sci 50(5):718–724CrossRef

Li HQ, Lei J, Liu QB (2012) An inversion approach for the inverse heat conduction problems. Int J Heat Mass Transf 55(15–16):4442–4452. https://doi.org/10.1016/j.ijheatmasstransfer.2012.04.014CrossRef

Czel B, Grof G (2012) Inverse identification of temperature-dependent thermal conductivity via genetic algorithm with cost function-based rearrangement of genes. Int J Heat Mass Transf 55(15–16):4254–4263. https://doi.org/10.1016/j.ijheatmasstransfer.2012.03.067CrossRef

10.

Cheng W, Fu CL, Qian Z (2007) A modified Tikhonov regularization method for a spherically symmetric three-dimensional inverse heat conduction problem. Math Comput Simul 75(3–4):97–112. https://doi.org/10.1016/j.matcom.2006.09.005MathSciNetCrossRefMATH

11.

Liu FB (2012) inverse estimation of wall heat flux by using particle swarm optimization algorithm with Gaussian mutation. Int J Thermal Sci 54(4):62–69, 265–273. https://doi.org/10.1016/j.ijthermalsci.2011.11.013. https://doi.org/10.1016/j.ijheatmasstransfer.2012.10.036

12.

Bideau PL, Ploteau JP, Glouannec P (2009) Heat flux estimation in an infrared experimental furnace using an inverse method. Appl Therm Eng 29(14–15):2977–2982. https://doi.org/10.1016/j.applthermaleng.2009.03.014CrossRef

13.

Deng S, Hwang Y (2007) Solution of inverse heat conduction problems using Kalman filter-enhanced Bayesian back propagation neural network data fusion. Int J Heat Mass Transf 50(11–12):2089–2100. https://doi.org/10.1016/j.ijheatmasstransfer.2006.11.019CrossRefMATH

14.

Chang C-L, Chang M (2006) Non-iteration estimation of thermal conductivity usingfinite volume method. Int Commun Heat Mass Transfer 33(8):1013–1020CrossRef

15.

Alifanov OM (1974) Solution of an inverse problem of heat conduction by iteration methods. J Eng Phys 26:471±476

16.

Ozisik MN, Orlande H, Kassab AJ (2002) Inverse heat transfer: fundamentals and applications. Appl Mech Rev 55(1):B18CrossRef

17.

Panchal M, Saraswat A, Verma S, Chaudhuri P (2019) Estimation of effective thermal conductivity for lithium meta-titanate (Li₂TiO₃) pebble beds using steady state and axial heat flow methods. J Coupled Syst Multiscale Dyn 6(4):257–265

Title: Estimation of Boundary Heat Flux with Conjugate Gradient Method by Experimental Transient Temperature Data
Authors: Parth Sathavara
Ajit Kumar Parwani
Maulik Panchal
Paritosh Chaudhuri
Publisher: Springer Singapore
Book: Recent Advances in Mechanical Infrastructure
Print ISBN: 978-981-334-175-3

Electronic ISBN: 978-981-334-176-0

Copyright Year: 2021
DOI: https://doi.org/10.1007/978-981-33-4176-0_30

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