Sage Journals: Discover world-class research

Abstract

In radiative heat transfer simulations, the geometrical view (configuration, form) factor plays a crucial role. Several different methods (deterministic and non-deterministic) such as integration, the Monte Carlo method, and the Hemi-Cube method have been introduced to calculate view factors in recent years. In this article, the Monte Carlo method combined with the finite-element (FE) technique is investigated. Results describing the relationships among different discretization schemes, number of rays used for the view factor calculation, CPU time, accuracy, and two origins of emanating rays are presented. The interesting case where reduced accuracy is obtained with increased refinement of FE mesh is discussed.

Keywords

view factor radiative heat transfer Monte Carlo method

Get full access to this article

View all access options for this article.

References

Sparrow

E. M.

A new and simpler formulation for radiative angle factors. J. Heat Transf., May 1963, 81–87.

Howell

Siegel

Thermal radiation heat transfer, 2002 (Taylor amp; Francis, Washington).

Howell

J. R.

Larsen

M. E.

Least squares smoothing of direct exchange areas in zonal analysis. J. Heat Transf., 1986, 108, 239–242.

Gould

D. C.

Radiation heat transfer between diffuse-gray surfaces using higher order finite elements. 34th AIAA Thermophysics Conference, Denver, USA, 2000.

Dolaghan

J. S.

Burns

P. J.

Loehrke

R. I.

Smoothing Monte Carlo exchange factors. J. Heat Transf., 1995, 117, 524–526.

Modest

M. F.

Backward Monte Carlo simulations in radiative heat transfer. J. Heat Transf., 2003, 125, 57–62.

Mudur

S. P.

Pattanaik

S. N.

Computation of global illumination in a participating medium by monte carlo simulation. J. Visual. Comp. Animat., 1993, 4 (3), 133–152.

Pellegrini

Monte Carlo approximation of form factors with error bounded a priori. 11th Annual ACM Symposium on Computational geometry, Vancouver, Canada, 1995.

Farmer

J. T.

Howell

J. R.

Comparison of Monte Carlo strategies for radiative transfer in participating media. Adv. Heat Transf., 1998, 31, 333–429.

10.

Vuji

M. R.

Lavery

N. P.

Brown

S. G. R.

Thermal benchmark experimentation data for numerical simulation of radiative heat transfer. 8th UK Heat Transfer Conference, University of Oxford, UK, 2003.

11.

Baranoski

G. V. G.

Rokne

J. G.

Guangwu

Applying the exponential Chebyshev inequality to the nondeterministic computation of form factors. J. Quant. Stectrosc. Radiat. Transf., 2001, 69, 447–467.

12.

Lawson

D. A.

An improved method for smoothing approximate exchange areas. Int. J. Heat Mass Transf., 1995, 38, 3109–3110.

13.

Edson

Genberg

Use of finite element models for determining radiation geometric view factors. Technical report, Eastman Kodak Company, 1996.

14.

van Leorsum

A method for determining a consistent set of radiation view factors from a set generated by a nonexact method. Int. J. Heat Fluid Flow., 1985, 10, 83–85.

15.

Kim

J. Y.

Chung

T. J.

Radiation view factors by finite elements. J. Heat Transf., 1982, 104, 792–795.

16.

Lee

H. S.

Chai

J. C.

Parthasarathy

Patankar

S. V.

Monte Carlo solutions for radiative heat transfer in irregular two-dimensional geometries. J. Heat Transf., 1995, 117, 792–794.

Numerical Sensitivity and View Factor Calculation Using the Monte Carlo Method

Abstract

Abstract

Keywords

Get full access to this article

References