9. Discrete-Ordinates and Finite-Volume Methods for Radiative Heat Transfer

  1. W. J. Minkowycz3,
  2. E. M. Sparrow4 and
  3. J. Y. Murthy5
  1. J. C. Chai1 and
  2. S. V. Patankar2

Published Online: 21 JAN 2009

DOI: 10.1002/9780470172599.ch9

Handbook of Numerical Heat Transfer, Second Edition

Handbook of Numerical Heat Transfer, Second Edition

How to Cite

Chai, J. C. and Patankar, S. V. (2000) Discrete-Ordinates and Finite-Volume Methods for Radiative Heat Transfer, in Handbook of Numerical Heat Transfer, Second Edition (eds W. J. Minkowycz, E. M. Sparrow and J. Y. Murthy), John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470172599.ch9

Editor Information

  1. 3

    University of Illinois at Chicago, Department of Mechanical and Industrial Engineering (MC 251), 842 West Taylor Street, Chicago, IL 60607-7022, USA

  2. 4

    University of Minnesota-Twin Cities, Department of Mechanical Engineering, 111 Church Street, S.E., Minneapolis, MN 55455, USA

  3. 5

    Purdue University, School of Mechanical Engineering, 1288 Mechanical Engineering Building, West Lafavette, IN 47907-1288, USA

Author Information

  1. 1

    Nanyang Technological University, School of Mechanical & Production Engineering, 50 Nanyang Avenue, Singapore 639798, Singapore

  2. 2

    Innovative Research, Inc., 3025 Harbor Lane N, Suite 300, Plymouth, MN 55447, USA

Publication History

  1. Published Online: 21 JAN 2009
  2. Published Print: 22 DEC 2000

ISBN Information

Print ISBN: 9780471348788

Online ISBN: 9780470172599

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Keywords:

  • transient raidative transfer equation;
  • scattering phase function;
  • radiation heat transfer relations;
  • control volumes and grid points;
  • spatial-multiblock procedure

Summary

This chapter contains sections titled:

  • Introduction

  • Governing Equations and Related Quantities

  • The Convection-Diffusion Equation and the Transient Radiative Transfer Equation

  • The Flux, Discrete-Ordinates, and Finite-Volume Methods

  • Domain Discretization

  • Derivation of the Discretization Equation

  • Spatial Differencing Schemes

  • Treatment of Irregular Geometries

  • Control-Angle Overlap

  • Ray Effect and False Scattering

  • Representative Works

  • Closing Remarks

  • Nomenclature

  • References