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CONFIGURATION FACTORS FOR RADIATION TRANSFER BETWEEN DIFFUSE SURFACES

John R. Howell

1. INTRODUCTION

Configuration factors (also often called shape factors, form factors, view factors, or angle factors) define the fraction of uniformly distributed radiative energy leaving diffuse surface j that is incident on a second surface k. The configuration factor from a differential area element dAj to a second element dAk is denoted by dFdj-dk. In general, such a factor is given by

(1)

where the quantities on the right-hand side are shown in Fig. 1.

Defining geometry for configuration factor.

Figure 1. Defining geometry for configuration factor.

The notation adopted here is that used in Siegel and Howell (2010). The differential form dF for element-to-element configuration factors is used to maintain the differential order of the equation to agree with the differential area on the right-hand side.

Equation (1) can a ...

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References

  1. Daun, K. J., Morton, D. P., and Howell, J. R., Smoothing Monte Carlo exchange factors through constrained maximum likelihood estimation, J. Heat Transfer, vol. 127, no. 10, pp. 1124-1128, 2005.
  2. Larsen, M. E. and Howell, J. R., Least squares smoothing of direct exchange areas in zonal analysis, J. Heat Transfer, vol. 18, no. 1, pp. 239-242, 1986.
  3. Lawson, D. A., An improved method for smoothing approximate exchange areas, Int. J. Heat Mass Transfer, vol. 38, no. 16, 3109-3110, 1995.
  4. Loehrke, R. I., Dolaghan, J. S., and Burns, P. J., Smoothing Monte Carlo exchange factors, J. Heat Transfer, vol. 117, no. 2, pp. 524-526, 1995.
  5. Siegel, R. and Howell, J. R., Thermal Radiation Heat Transfer, 5th ed., Taylor and Francis, New York, 2010.
  6. Sowell, E. F. and O’Brien, P. F., Efficient computation of radiant-interchange configuration factors within an enclosure, J. Heat Transfer, vol. 94, no. 3, pp. 326-328, 1972.
  7. Taylor, R. P. and Luck, R., Comparison of reciprocity and closure enforcement methods for radiation view factors, J. Thermophys. Heat Transfer, vol. 9, no. 4, pp. 660-666, 1995.
  8. van Leersum, J., A method for determining a consistent set of radiation view factors from a set generated by a nonexact method, Int. J. Heat Fluid Flow, vol. 10, no. 1, pp. 83-85, 1989.
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