Reducing CPU Time for Radiative Exchange and Transient Heat Transfer Analysis Using Zone Method

CPU time for radiative heat transfer analysis using the zone method is greatly reduced. Reduction in CPU time is attributed to the development of a simplified version of the plating algorithm for calculation of total exchange areas (TEAs) and of a model reduction algorithm for eliminating low-energy-level exchange areas from the matrix of radiative transfer. The accuracy and efficiency of the algorithms are examined for a windscreen bending furnace and a gas quenching chamber. Total CPU time is reduced by a factor of 17 for both applications.

[1]  Walter W. Yuen,et al.  THE ZONAL METHOD: A PRACTICAL SOLUTION METHOD FOR RADIATIVE TRANSFER IN NONISOTHERMAL INHOMOGENEOUS MEDIA , 1997 .

[2]  M. Pinar Mengüç,et al.  Thermal Radiation Heat Transfer , 2020 .

[3]  John R. Howell,et al.  Application of Monte Carlo to Heat Transfer Problems , 1969 .

[4]  Generalized Zoning Method in One-Dimensional Participating Media , 1995 .

[5]  W. Yuen The Multiple Absorption Coefficient Zonal Method (MACZM), an Efficient Computational Approach for the Analysis of Radiative Heat Transfer in Multidimensional Inhomogeneous Nongray Media , 2006 .

[6]  W. A. Fiveland,et al.  Discrete Ordinate Methods for Radiative Heat Transfer in Isotropically and Anisotropically Scattering Media , 1987 .

[7]  W. Yuen,et al.  DEVELOPMENT OF A GENERALIZED ZONAL METHOD FOR ANALYSIS OF RADIATIVE TRANSFER IN ABSORBING AND ANISOTROPICALLY SCATTERING MEDIA , 1994 .

[8]  MONTE CARLO METHODS FOR RADIATIVE HEAT TRANSFER IN SCATTERING MEDIA , 1994 .

[9]  D. K. Edwards The plating algorithm for radiation script-F transfer factor , 1986 .

[10]  G. D. Raithby,et al.  A Finite-Volume Method for Predicting a Radiant Heat Transfer in Enclosures With Participating Media , 1990 .

[11]  Zonal Method to Model Radiative Transport in an Optical Fiber Drawing Furnace , 1997 .

[12]  Shigenao Maruyama,et al.  Radiation heat transfer between arbitrary three-dimensional bodies with specular and diffuse surfaces , 1993 .

[13]  G. Raithby Discussion of the finite-volume method for radiation, and its application using 3D unstructured meshes , 1999 .

[14]  Seigo Sakai,et al.  A FAST APPROXIMATED METHOD OF RADIATIVE EXCHANGE FOR COMBINED HEAT TRANSFER SIMULATION , 2003 .

[15]  K. Liou,et al.  Generalization of the spherical harmonic method to radiative transfer in multi-dimensional space , 1982 .

[16]  D. A. Lawson An improved method for smoothing approximate exchange areas , 1995 .

[17]  Yuyan Jiang A two-step strategy for numerical simulation of radiative transfer with anisotropic scattering and reflection , 2008 .

[18]  H. C. Hottel,et al.  Radiant heat exchange in a gas-filled enclosure: Allowance for nonuniformity of gas temperature , 1958 .

[19]  Didier Arquès,et al.  Extending the zonal method to specular surfaces , 1998 .

[20]  F. Lockwood,et al.  A new radiation solution method for incorporation in general combustion prediction procedures , 1981 .

[21]  W. Fiveland Discrete-Ordinates Solutions of the Radiative Transport Equation for Rectangular Enclosures , 1984 .

[22]  N. Selçuk,et al.  Evaluation of discrete ordinates method for radiative transfer in rectangular furnaces , 1997 .

[23]  Hadi Ebrahimi,et al.  Effect of design parameters on performance of a top fired natural gas reformer , 2008 .

[24]  M. Modest The improved differential approximation for radiative transfer in multidimensional media , 1990 .