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TECHNICAL PAPERS

Temperature Distribution in a Porous Medium Subjected to Solar Radiative Incidence and Downward Flow: Convective Boundaries

[+] Author and Article Information
Pai-Chuan Liu

Chinese Military Academy, Department of Mathematics, 830, Fengshang, Taiwan, Republic of Chinae-mail: pcliu@cc.cma.edu.tw

J. Sol. Energy Eng 125(2), 190-194 (May 08, 2003) (5 pages) doi:10.1115/1.1564078 History: Received October 01, 2001; Revised October 01, 2002; Online May 08, 2003
Copyright © 2003 by ASME
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References

Hadim,  A., and Burmeister,  L. C., 1988, “Onset of Convection in a Porous Medium With Internal Heat Generation and Downward Flow,” J. Thermophys. Heat Transfer, 2, pp. 343–351.
Smiley, J. A., and Burmeister, L. C., 1977, “Potential Improvement of Solar Pond Efficiency by Downward Convection,” ASME Paper No. 77-WA/HT-6.
Liu,  P.-C., 1995, “Thermocapillary Instability in a Horizontal Liquid Layer Subjected to a Transverse Magnetic Field and Irradiation,” Int. Commun. Heat Mass Transfer, 22, pp. 649–660.
Liu,  P.-C., 1996, “Onset of Benard-Marangoni Convection in a Rotating Liquid Layer With Nonuniform Volumetric Energy Sources,” Int. J. Heat Fluid Flow, 17, pp. 579–586.
Liu, P.-C., 2003, “Temperature Distributions in a Porous Medium Subjected to Solar Radiative Incidence and Downward Flow,” J. Thermophys. Heat Transfer, 17 (2).
Yucel,  A., and Bayazitoglu,  Y., 1979, “Onset of Convection in Fluid Layers with Non-Uniform Volumetric Energy Sources,” ASME J. Heat Transfer, 101, pp. 666–671.
Lam,  T. T., and Bayazitoglu,  Y., 1988, “Marangoni Instability with Non-Uniform Volumetric Energy Sources due to Incidence Radiation,” Acta Astronaut., 17, pp. 31–38.
Gasser,  R. D., and Kazimi,  M. S., 1976, “Onset of Convection in a Porous Medium With Internal Heat Sources,” ASME J. Heat Transfer, 98, pp. 49–54.
Roberts,  P. H., 1967, “Convection in Horizontal Layers With Internal Heat Generation Theory,” J. Fluid Mech., 30, pp. 33–49.
Kulacki,  F. A., and Goldstein,  R. J., 1975, “Hydrodynamic Instability in Fluid Layers With Uniform Volumetric Energy Sources,” Appl. Sci. Res., 31, pp. 81–109.
Kulacki,  F. A., and Ramchandani,  R., 1975, “Hydrodynamic Instability in a Porous Layer Saturated With a Heat Generating Fluid,” Waerme- Stoffuebertrag., 8, pp. 179–185.
Sparrow,  E. M., Goldstein,  R. J., and Jonsson,  V. K., 1964, “Thermal Instability in a Horizontal Fluid Layer: Effect of Boundary Conditions and Non-linear Temperature Profile,” J. Fluid Mech., 18, pp. 513–528.

Figures

Grahic Jump Location
Schematic diagram of the physical problem
Grahic Jump Location
Influence of viscous force on steady-state temperature distribution with τ=0.2,Pe=1,r2=0.5,r2=0.5,Bi1=1, and Bi2=1
Grahic Jump Location
Influence of downward flow on steady-state temperature distribution with τ=0.2,r1=0.5,r2=0.5,Bi2=1, and Bi2=1, and R*=10
Grahic Jump Location
a) Effect of lower convective boundary on steady-state temperature distribution with τ=0.2,Pe=1,r1=0.5, and r2=0.5,Bi2=1, and R*=10;b) Effect of upper convective boundary on steady-state temperature distribution with τ=0.2,Pe=1,r1=0.5,r2=0.5,Bi1=1, and R*=10
Grahic Jump Location
a) Influence of lower boundary reflectivity on steady-state temperature distribution with τ=0.2,Pe=1,r2=0.5,Bi2=1,Bi2=1, and R*=10;b) Influence of upper boundary reflectivity on steady-state temperature distribution with τ=0.2,Pe=1,r1=0.5,Bi2=1,Bi2=1, and R*=10
Grahic Jump Location
Influence of absorption on steady-state temperature distribution with Pe=1,r1=0.5,r2=0.5,Bi2=1,Bi2=1, and R*=10

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