Combined mode conduction and radiation heat transfer in a spherical geometry with non-Fourier effect

Subhash C. Mishra, Anil Stephen

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

This article deals with the analysis of combined mode non-Fourier conduction and radiation heat transfer in a concentric spherical enclosure containing a conducting-radiating medium. The finite volume method (FVM) has been employed to calculate the volumetric radiative information and also to solve the governing energy equation, which is of hyperbolic nature. The non-Fourier effect which manifests in the form of a sharp discontinuity in the temporal temperature distribution and propagates with a finite speed has been investigated. As time progress, the discontinuity in the temperature distribution decays and in the steady-state, results with and without non-Fourier effect are the same. Detailed study of the effect of various parameters such as the extinction coefficient, the scattering albedo, the conduction radiation parameter, the emissivity and the anisotropy factor has been carried out. Results of the present work have been compared with the steady-state response of the combined mode Fourier conduction-radiation problems available in literature. Results have been found to agree well.

Original languageEnglish
Pages (from-to)2975-2989
Number of pages15
JournalInternational Journal of Heat and Mass Transfer
Volume54
Issue number13-14
DOIs
Publication statusPublished - 01-06-2011
Externally publishedYes

Fingerprint

Heat radiation
Heat conduction
Temperature distribution
heat transfer
Radiation
conduction
Geometry
discontinuity
Finite volume method
temperature distribution
radiation
geometry
Enclosures
Anisotropy
finite volume method
Scattering
enclosure
albedo
emissivity
extinction

All Science Journal Classification (ASJC) codes

  • Fluid Flow and Transfer Processes
  • Mechanical Engineering
  • Condensed Matter Physics

Cite this

@article{a114e91bb3ca4b49b62581f54be00388,
title = "Combined mode conduction and radiation heat transfer in a spherical geometry with non-Fourier effect",
abstract = "This article deals with the analysis of combined mode non-Fourier conduction and radiation heat transfer in a concentric spherical enclosure containing a conducting-radiating medium. The finite volume method (FVM) has been employed to calculate the volumetric radiative information and also to solve the governing energy equation, which is of hyperbolic nature. The non-Fourier effect which manifests in the form of a sharp discontinuity in the temporal temperature distribution and propagates with a finite speed has been investigated. As time progress, the discontinuity in the temperature distribution decays and in the steady-state, results with and without non-Fourier effect are the same. Detailed study of the effect of various parameters such as the extinction coefficient, the scattering albedo, the conduction radiation parameter, the emissivity and the anisotropy factor has been carried out. Results of the present work have been compared with the steady-state response of the combined mode Fourier conduction-radiation problems available in literature. Results have been found to agree well.",
author = "Mishra, {Subhash C.} and Anil Stephen",
year = "2011",
month = "6",
day = "1",
doi = "10.1016/j.ijheatmasstransfer.2011.02.053",
language = "English",
volume = "54",
pages = "2975--2989",
journal = "International Journal of Heat and Mass Transfer",
issn = "0017-9310",
publisher = "Elsevier Limited",
number = "13-14",

}

Combined mode conduction and radiation heat transfer in a spherical geometry with non-Fourier effect. / Mishra, Subhash C.; Stephen, Anil.

In: International Journal of Heat and Mass Transfer, Vol. 54, No. 13-14, 01.06.2011, p. 2975-2989.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Combined mode conduction and radiation heat transfer in a spherical geometry with non-Fourier effect

AU - Mishra, Subhash C.

AU - Stephen, Anil

PY - 2011/6/1

Y1 - 2011/6/1

N2 - This article deals with the analysis of combined mode non-Fourier conduction and radiation heat transfer in a concentric spherical enclosure containing a conducting-radiating medium. The finite volume method (FVM) has been employed to calculate the volumetric radiative information and also to solve the governing energy equation, which is of hyperbolic nature. The non-Fourier effect which manifests in the form of a sharp discontinuity in the temporal temperature distribution and propagates with a finite speed has been investigated. As time progress, the discontinuity in the temperature distribution decays and in the steady-state, results with and without non-Fourier effect are the same. Detailed study of the effect of various parameters such as the extinction coefficient, the scattering albedo, the conduction radiation parameter, the emissivity and the anisotropy factor has been carried out. Results of the present work have been compared with the steady-state response of the combined mode Fourier conduction-radiation problems available in literature. Results have been found to agree well.

AB - This article deals with the analysis of combined mode non-Fourier conduction and radiation heat transfer in a concentric spherical enclosure containing a conducting-radiating medium. The finite volume method (FVM) has been employed to calculate the volumetric radiative information and also to solve the governing energy equation, which is of hyperbolic nature. The non-Fourier effect which manifests in the form of a sharp discontinuity in the temporal temperature distribution and propagates with a finite speed has been investigated. As time progress, the discontinuity in the temperature distribution decays and in the steady-state, results with and without non-Fourier effect are the same. Detailed study of the effect of various parameters such as the extinction coefficient, the scattering albedo, the conduction radiation parameter, the emissivity and the anisotropy factor has been carried out. Results of the present work have been compared with the steady-state response of the combined mode Fourier conduction-radiation problems available in literature. Results have been found to agree well.

UR - http://www.scopus.com/inward/record.url?scp=79955483008&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79955483008&partnerID=8YFLogxK

U2 - 10.1016/j.ijheatmasstransfer.2011.02.053

DO - 10.1016/j.ijheatmasstransfer.2011.02.053

M3 - Article

AN - SCOPUS:79955483008

VL - 54

SP - 2975

EP - 2989

JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

SN - 0017-9310

IS - 13-14

ER -