Characteristics of Rosseland and P-1 approximations in modeling nonstationary conditions of convection-radiation heat transfer in an enclosure with a local energy source

S. G. Martyushev, M. A. Sheremet

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

Numerical modeling is performed for nonstationary conjugate convection-radiation heat transfer in an enclosure with a local energy source under nonlinear heat exchange with the environment. Two approximations were used for mathematical description of the mechanism of radiation in a gas cavity, namely, Rosseland approximation and differential formulation (or P-1 approach) of the methods of spherical harmonic functions. Comparison of two different approaches to description of the radiation mechanism of energy transfer has made it possible to identify special features of thesemodels. Temperature and stream distribution functions are obtained in a wide range of the governing parameters.

Original languageEnglish
Pages (from-to)111-118
Number of pages8
JournalJournal of Engineering Thermophysics
Volume21
Issue number2
DOIs
Publication statusPublished - Jun 2012

Fingerprint

Heat radiation
Enclosure
energy sources
enclosure
Enclosures
Convection
Heat Transfer
convection
heat transfer
Radiation
Harmonic functions
radiation
Approximation
Energy
approximation
Modeling
Energy transfer
Distribution functions
harmonic functions
Spherical Functions

ASJC Scopus subject areas

  • Environmental Engineering
  • Modelling and Simulation
  • Condensed Matter Physics
  • Energy Engineering and Power Technology

Cite this

@article{6f42c5b4b8be4f399e00658d05b404db,
title = "Characteristics of Rosseland and P-1 approximations in modeling nonstationary conditions of convection-radiation heat transfer in an enclosure with a local energy source",
abstract = "Numerical modeling is performed for nonstationary conjugate convection-radiation heat transfer in an enclosure with a local energy source under nonlinear heat exchange with the environment. Two approximations were used for mathematical description of the mechanism of radiation in a gas cavity, namely, Rosseland approximation and differential formulation (or P-1 approach) of the methods of spherical harmonic functions. Comparison of two different approaches to description of the radiation mechanism of energy transfer has made it possible to identify special features of thesemodels. Temperature and stream distribution functions are obtained in a wide range of the governing parameters.",
author = "Martyushev, {S. G.} and Sheremet, {M. A.}",
year = "2012",
month = "6",
doi = "10.1134/S1810232812020026",
language = "English",
volume = "21",
pages = "111--118",
journal = "Journal of Engineering Thermophysics",
issn = "1810-2328",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "2",

}

TY - JOUR

T1 - Characteristics of Rosseland and P-1 approximations in modeling nonstationary conditions of convection-radiation heat transfer in an enclosure with a local energy source

AU - Martyushev, S. G.

AU - Sheremet, M. A.

PY - 2012/6

Y1 - 2012/6

N2 - Numerical modeling is performed for nonstationary conjugate convection-radiation heat transfer in an enclosure with a local energy source under nonlinear heat exchange with the environment. Two approximations were used for mathematical description of the mechanism of radiation in a gas cavity, namely, Rosseland approximation and differential formulation (or P-1 approach) of the methods of spherical harmonic functions. Comparison of two different approaches to description of the radiation mechanism of energy transfer has made it possible to identify special features of thesemodels. Temperature and stream distribution functions are obtained in a wide range of the governing parameters.

AB - Numerical modeling is performed for nonstationary conjugate convection-radiation heat transfer in an enclosure with a local energy source under nonlinear heat exchange with the environment. Two approximations were used for mathematical description of the mechanism of radiation in a gas cavity, namely, Rosseland approximation and differential formulation (or P-1 approach) of the methods of spherical harmonic functions. Comparison of two different approaches to description of the radiation mechanism of energy transfer has made it possible to identify special features of thesemodels. Temperature and stream distribution functions are obtained in a wide range of the governing parameters.

UR - http://www.scopus.com/inward/record.url?scp=84860605951&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84860605951&partnerID=8YFLogxK

U2 - 10.1134/S1810232812020026

DO - 10.1134/S1810232812020026

M3 - Article

VL - 21

SP - 111

EP - 118

JO - Journal of Engineering Thermophysics

JF - Journal of Engineering Thermophysics

SN - 1810-2328

IS - 2

ER -