Explicit analytical solutions of the anisotropic Brinkman model for the natural convection in porous media

Science in China, Series A: Mathematics, Physics, Astronomy

Volumn 45, Issue 6, 2002, Pages 808-816

  Cai, Ruixian ^a   Zhang, Na ^a  

^a INSTITUTE OF ENGINEERING THERMOPHYSICS   (China)

Author keywords

Anisotropic; Brinkman model; Explicit analytical solution; Natural convection; Porous medium

Indexed keywords

EID: 0347900746     PISSN: 10069283     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. Cheng, P., Heat transfer in geothermal system, Advance in Heat transfer, 1978, 14: 1-105.
2. Wang, B., Heat and mass transfer in porous media, J. Tsinghua Univ., 1992, 32(supplement No. 1): 5-12.
3. Lai, F, C., Kulacky, F. A., Non-Darcy convection from horizontal impermeable surfaces in saturated porous medium, Int'l J. Heat Mass Transfer, 1987, 30: 2189-2192.
4. Hsu, C. T., Cheng, P., Brinkman's model for free convective about a flat plate in a porous medium, Int'l J. Heat Mass Transfer, 1985, 28: 683-697.
5. Mckibbin, R., Tyvand, P. A., Anosotropic modeling of thermal convection in multilayered porous media, J. Fluid Mechanics, 1982, 118: 315-339.
6. Nilsen, T., Storesletten, L., An analytical study on natural convection in isotropic and anisotropic porous channels, ASME TRANS. J. Heat transfer, 1990, 112: 396-401.
7. Zhang, J., Li, L., sun, R., Non-Darcian and anisotropic effects on natural convection in horizontal porous media enclosure, J. Engg. Thermophysics (in Chinese with English abstract), 1996, 17: 86-90.
8. Cai, R., Some Explicit analytical solutions of unsteady compressible flow, ASME TRANS. J. Fluids Engg., 1998, 120: 760-764.
9. Cai, R., Zhang, N., Unsteady one-dimensional analytical solutions for bioheat transfer equations, Progress in Natural Science, 1998, 8: 733-739.
10. Cai, R., Zhang, N., Explicit analytical solutions of non-Fourier heat conduction equation for IC chip, Chinese Science Bulletin, 1998, 43: 1080-1084.
11. Cai, R., Derivation of explicit analytical solutions for nonlinear unsteady compressible isentropic flow, J. Engg. Thermophysics (in Chinese with English abstract), 2001, 22: 159-162.
12. Cai, R., Zhang, N., Explicit analytical wave solutions of unsteady 1-D ideal gas flow with friction and heat transfer, Science in China, Ser. E, 2001, 44(4): 414-420.
13. Cai, R., Zhang, N., Explicit analytical solution of boiler heating surface dyanmic process, Chinese J. Mech. Engg. (in Chinese with English abstract), 2000, 36: 11-13.
14. Zhang, N., Cai, R., Explicit analytical solutions of unsteady temperature field in steam turbine rotor with center hole, Proc. CSEE (in English with Chinese abstract), 1999, 19: 38-40.
15. Cai, R., Zhang, N., Some algebraically explicit analytical solutions of unsteady nonlinear heat conduction, ASME TRANS. J. Heat & Mass Transfer, 2001, 123(6): 1189-1191.
16. Guo, Z., Thermal Fluid Flow (in Chinese), Beijing: Tsinghua Univ. Press, 1992, 179-200.