Integral Equation Solutions for Transient Radiative Transfer in Nonhomogeneous Anisotropically Scattering Media

[+] Author and Article Information
S.-H. Wu, C.-Y. Wu

Department of Mechanical Engineering, National Cheng Kung University, Tainan, Taiwan 701, R.O.C.

J. Heat Transfer 122(4), 818-823 (Jun 27, 2000) (6 pages) doi:10.1115/1.1315596 History: Received September 23, 1999; Revised June 27, 2000
Copyright © 2000 by ASME
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McCormick,  N. J., 1982, “Remote Characterization of a Thick Slab Target With a Pulsed Laser,” J. Opt. Soc. Am., 72, pp. 756–759.
Mitra, K., and Kumar, S., 1997, “Application of Transient Radiative Transfer Equation to Oceanographic Lidar,” Proceedings of the 1997 ASME International Mechanical Engineering Congress and Exposition, HTD-Vol. 353, ASME, New York, pp. 359–365.
Mitra,  K., and Churnside,  J. H., 1999, “Transient Radiative Transfer Equation Applied to Oceanographic Lidar,” Appl. Opt., 38, pp. 889–895.
Yamada, Y., 1995, “Light-Tissue Interaction and Optical Imaging in Biomedicine,” Annual Review of Heat Transfer, Vol. 6, C. L. Tien, ed., Begell House, New York, pp. 1–59.
Arridge,  S. R., 1999, “Optical Tomography in Medical Imaging,” Inverse Probl., 15, pp. R41–R93.
Wilson,  B. C., and Patterson,  M. S., 1986, “The Physics of Photodynamic Therapy,” Phys. Med. Biol., 31, pp. 327–360.
Brewster,  M. Q., and Yamada,  Y., 1995, “Optical Properties of Thick, Turbid Media From Picosecond Time-Resolved Light Scattering Measurements,” Int. J. Heat Mass Transf., 38, pp. 2569–2581.
Hielscher,  A. H., Liu,  H., Chance,  B., Tittel,  F. K., and Jacques,  S. L., 1996, “Time-Resolved Photon Emission From Layered Turbid Media,” Appl. Opt., 35, pp. 719–728.
Yamada,  Y., and Hasegawa,  Y., 1996, “Time-Dependent FEM Analysis of Photon Migration in Biological Tissues,” JSME Int. J., Ser. B, 39, pp. 754–761.
Pomraning, G. C., 1973, The Equations of Radiation Hydrodynamics, Pergamon, Oxford.
Hunt,  G. E., 1967, “The Transport Equation of Radiative Transfer in a Three-Dimensional Space With Anisotropic Scattering,” J. Inst. Math. Appl., 3, pp. 181–192.
Wu,  C.-Y., and Wu,  S.-H., 2000, “Integral Equation Formulation for Transient Radiative Transfer in an Anisotropically Scattering Medium,” Int. J. Heat Mass Transf., 43, pp. 2009–2020.
Walters, D. V., and Buckius, R. O., 1994, “Monte Carlo Methods for Radiative Heat Transfer in Scattering Media,” Annual Review of Heat Transfer, Vol. 5, C. L. Tien, ed., CRC, Boca Raton, FL, pp. 131–176.
Wu, S.-H, 2000, “A Study on Transient Radiative Transfer by Solving Integral Equations and Monte Carlo Simulation,” Ph.D. thesis, National Cheng Kung University, Tainan, Taiwan, R.O.C. (in Chinese).
Wu,  C.-Y., 2000, “Propagation of Scattered Radiation in a Participating Planar Medium With Pulse Irradiation,” J. Quant. Spectrosc. Radiat. Transf., 64, pp. 537–548.
Modest, M. F., 1993, Radiative Heat Transfer, McGraw-Hill, New York.


Grahic Jump Location
The results of M10(r,zo,t) for cases C1 and C2 at various instants of interest
Grahic Jump Location
The results of M10(0,0,t) and M10(0,zo,t) obtained by the QM and by the RMCM for cases B1–B4
Grahic Jump Location
The QM results of M10(0,0,t) and M10(0,zo,t) for cases A1–A4
Grahic Jump Location
The results at some instants of interest obtained by the QM and by the RMCM for cases A1–A4; (a) the spatial distributions of M10(r,0,t); (b) the spatial distributions of M11(ro,z,t) (points: RMCM, lines: QM, 1:ct/zo=1.0,2:ct/zo=2.0,3:ct/zo=3.0,4:ct/zo=4.0, –: A1, [[dashed_line]]: A2, [[long_dash_short_dash]]: A3, - - - -: A4)
Grahic Jump Location
The geometry and the coordinate systems (ψ is the spatial azimuthal angle, k , er(ψ) and eψ(ψ) are the unit vectors in the z,r and ψ-directions, respectively)




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