... local thermal nonequilibrium conduction convection radiation participating media numerical which allows the surface integral to be calculated as (33) 1 V ∫ ∂ V s T n ∧ sf dS = k stag - ( 1 - φ ) 〈 k s 〉 s - φ...

... With Participating Media ,” ASME J. Heat Transfer , 112 ( 2 ), pp. 415 – 423 . 10.1115/1.2910394 [14] Yang , J. , and Modest , M. F. , 2007 , “ Elliptic PDE Formulation of General, Three-Dimensional High-Order PN-Approximations for Radiative Transfer ,” J. Quant. Spectrosc. Radiat. Transfer , 104...

...Mahesh Ravishankar; Sandip Mazumder; Ankan Kumar The method of spherical harmonics (or P N ) is a popular method for approximate solution of the radiative transfer equation (RTE) in participating media. A rigorous conservative finite-volume (FV) procedure is presented for discretization of the P 3...

... Transfer in Multidimensional Emitting, Absorbing, and Anisotropic Scattering Media—Mathematical Formulation and Numerical Method ,” ASME J. Heat Transfer , 111 , pp. 141 – 147 . Wu, S. H., Wu, C. Y., and Hsu, P. F., 1996, “Solutions of Radiative Heat Transfer in Nonhomogeneous Participating Media...

...; revision received May 16, 2003. Associate Editor: S. T. Thynell. 10 January 2003 16 May 2003 23 09 2003 heat radiation Heat Transfer Laser Numerical Methods Participating Media Radiation The zonal method, originally developed by Hottel and Cohen 1...

... transfer scattering absorption emission inhomogeneous media integration Absorption Computational Emitting Heat Transfer Participating Media Radiation There are numerous engineering applications which involve heat generating gray gas radiation and the analysis of heat transfer...

..., 2000; revision received October 12, 2001. Associate Editor: R. D. Skocypec. 15 December 2000 12 October 2001 11 09 2002 radiative transfer heat radiation Heat Transfer High Temperature Modeling Packed Beds Participating Media Porous Media Properties Radiation...

... Monte Carlo methods digital simulation Heat Transfer Monte Carlo Participating Media Radiation Scattering Three-Dimensional Radiative heat transfer in three-dimensional inhomogeneous, scattering media has played an important role in engineering applications. Because of the non...

... equations radiative transfer differential equations Emitting Numerical Methods Participating Media Radiation Scattering Radiative integral transfer equation (RITE) is obtained by integrating radiative transfer equation (RTE) over the solid angle. In the RITE, physical wall boundary...

... 2002 16 07 2002 matrix algebra radiative transfer heat radiation anisotropic media Heat Transfer Participating Media Radiation Scattering View Factors The Zone Method, after Hottel and Sarofim 1 , consists of decomposing a medium and its boundaries into N isothermal...

... by the Heat Transfer Division March 15, 2000; revision received October 9, 2001. Associate Editor: C. T. Avedisian. 15 March 2000 09 October 2001 16 07 2002 radiative transfer absorbing media integral equations Emitting Numerical Methods Participating Media Radiation...

... Transfer Participating Media Radiation Transient In recent years, many researchers investigated transient coupled radiation and conduction heat transfer in a two-layer or multi-layer semitransparent composite. Gilpin et al. 1 presented...

... generic flames. Absorption Combustion Participating Media Properties Radiation hydrogen compounds absorption coefficients radiative transfer flames 26 September 2000 04 May 2001 Contributed by the Heat Transfer Division for publication in the JOURNAL OF HEAT...

... With Interpolation and Source Differencing for Two-Dimensional Radiative Transfer Problems ,” Numer. Heat Transfer, Part B , 32 , pp. 107 – 125 . Raithby , G. D. , and Chui , E. H. , 1990 , “ A Finite Volume Method for Predicting a Radiative Heat Transfer in Enclosures With Participating Media...

... Heat Transfer Participating Media Radiation Scattering In recent years, the finite volume method 1 2 3 4 and its close counterpart, the discrete ordinates method 5 , have emerged as useful techniques for addressing complex radiation problems. However, these methods perform very poorly...

... 28, 1999; revision received November 3, 2000. Associate Editor: M. P. Mengu¨c¸. 28 September 1999 03 November 2000 gas mixtures radiative transfer high-temperature effects integration impurities Gaseous Heat Transfer Participating Media Particulate Radiation...

... in the JOURNAL OF HEAT TRANSFER . Manuscript received by the Heat Transfer Division November 23, 1999; revision received, July 7, 2000. Associate Editor: M. P. Menguc. 23 November 1999 07 July 2000 emissivity reflectivity radiative transfer Heat Transfer Packed Beds Participating...

... Heat Transfer Monte Carlo Participating Media Particulate Radiation Vortmeyer, D., 1978, “Radiation in Packed Solids,” Proceedings, 6th International Heat Transfer Conference (Toronto), Vol. 6, Hemisphere, Washington, DC, pp. 525–539. Chan , C. K. , and Tien , C. L. , 1974...

... . Manuscript received by the Heat Transfer Division, August 4, 1999; revision received, Feb. 14, 2000. Associate Technical Editor: J. Gore. 04 August 1999 14 Feb 2000 optical properties turbulent diffusion flames chemically reactive flow Combustion Fire Flame Participating...

... Diagnostics Participating Media Kuo D. , Vierk S. D. , Rauch O. , and Polensky D. , 1997 , “ Laser zone texturing on glass and glass-ceramic substrates ,” IEEE Transactions on Magnetics , Vol. 33 , No. 1 , Pt. 2, pp. 94 – 99 . Miller, R., and Bhushan, B., 1996, “Alternative...