Analysis of heat transfer through optically participating medium in a concentric spherical enclosure: The role of dual-phase-lag conduction and radiation

[+] Author and Article Information
Aritra Mukherjee

Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati, India - 781039

Pranab Mondal

Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati, India - 781039

1Corresponding author.

ASME doi:10.1115/1.4040283 History: Received November 24, 2017; Revised April 23, 2018


This article deals with analysis of combined dual-phase-lag heat conduction and radiation in a concentric spherical enclosure with diffuse-grey surfaces. The enclosed medium is optically participating, i.e., it is radiatively absorbing, emitting and scattering. Lattice Boltzmann method is used to solve the energy equation and finite volume method is used to compute the radiative information. To establish the accuracy of this approach, the combined energy equation is also solved with finite difference method. Radial temperature profiles and energy contributions by conduction and radiation at transience and steady state are elaborated for different kind of thermal perturbations Influence of numerous conductive and radiative parameters over the heat transport process have been investigated in detail. It is observed that higher contribution of radiation to the heat transport process can destroy the thermal wave in the medium completely. Sample results for pure non-Fourier heat conduction, pure radiation and steady state response of combined Fourier conduction and radiation in spherical geometry are compared with the results available in literature. In all the cases, comparison shows good agreement with the reported results.

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