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

Science in China, Series G: Physics Astronomy

Volumn 48, Issue 4, 2005, Pages 422-430

  Cai, Ruixian ^a   Gou, Chenhua ^a,b   Zhang, Na ^a  

^a INSTITUTE OF ENGINEERING THERMOPHYSICS   (China)

^b UNIVERSITY OF CHINESE ACADEMY OF SCIENCES   (China)

Author keywords

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

Indexed keywords

EID: 33644645126     PISSN: 16721799     EISSN: None     Source Type: Journal    
DOI: 10.1360/142004-0118     Document Type: Article

References (16)

1. 1. P. Cheng 1978 Heat transfer in geothermal system Advance in Heat Transfer 14 1 105 1978prsp.conf.....C Cheng, P., Heat transfer in geothermal system, Advance in Heat Transfer, 1978, 14: 1–105.
2. 2. B. Wang 1992 Heat and mass transfer in porous media J. Tsinghua Univ. 32 supplement No. 1 5 12 Wang, B., Heat and mass transfer in porous media, J. Tsinghua Univ., 1992, 32 (supplement No. 1): 5–12.
3. 3. F. C. Lai F. A. Kulacky 1987 Non-Darcy convection from horizontal impermeable surfaces in saturated porors medium Int’l J. Heat Mass Transfer 30 2189 2192 10.1016/0017-9310(87)90096-2 Lai, F. C., Kulacky, F. A., Non-Darcy convection from horizontal impermeable surfaces in saturated porors medium, Int’l J. Heat Mass Transfer, 1987, 30: 2189–2192.
4. 4. C. T. Hsu P. Cheng 1985 Brinkman’s model for free convective about a flat plate in a porous medium Int’l J. Heat Mass Transfer 28 683 697 0576.76079 10.1016/0017-9310(85)90190-5 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. 5. R. Mckibbin P. A. Tyvand 1982 Anisotropic modeling of thermal convection in multilayered porous media J. Fluid Mechanics 118 315 339 0483.76094 10.1017/S0022112082001104 1982JFM...118..315M Mckibbin, R., Tyvand, P. A., Anisotropic modeling of thermal convection in multilayered porous media, J. Fluid Mechanics, 1982, 118: 315–339.
6. 6. T. Nilsen L. Storesletten 1990 An analytical study on natural convection in isotropic and anisotropic porous channels ASME TRANS J. Heat Transfer 112 396 401 10.1115/1.2910390 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. 7. J. Zhang L. Li R. Sun 1996 Non-Darcian and anisotropic effects on natural convection in horizontal porous media enclosure J. Engg. Thermophysics 17 86 90 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. 8. R. Cai N. Zhang 2002 Explicit analytical solutions of the anisotropic Brinkman model for the natural convection in porous media Science in China, Ser. A 45 6 808 816 1145.76362 Cai, R., Zhang, N., Explicit analytical solutions of the anisotropic Brinkman model for the natural convection in porous media, Science in China, Ser. A, 2002, 45(6): 808–816.
9. 9. R. Cai 1998 Some explicit analytical solutions of unsteady compressible flow ASME TRANS J. Fluids Engg. 120 760 764 10.1115/1.2820735 Cai, R., Some explicit analytical solutions of unsteady compressible flow, ASME TRANS J. Fluids Engg., 1998, 120: 760–764.
10. 10. R. Cai N. Zhang 1998 Unsteady one-dimensional analytical solutions for bioheat transfer equations Progress in Natural Science 8 733 739 0961.92014 1685094 Cai, R., Zhang, N., Unsteady one-dimensional analytical solutions for bioheat transfer equations, Progress in Natural Science, 1998, 8: 733–739.
11. 11. R. Cai N. Zhang 1998 Explicit analytical solutions of non-Fourier heat conduction equation for IC chip Chinese Science Bulletin 43 1080 1084 0984.80002 10.1007/BF02883077 1663294 Cai, R., Zhang, N., Explicit analytical solutions of non-Fourier heat conduction equation for IC chip, Chinese Science Bulletin, 1998, 43: 1080–1084.
12. 12. R. Cai 2001 Derivation of explicit analytical solutions for nonlinear unsteady compressible isentropic flow J. Engg. Thermophysics 22 159 162 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.
13. 13. R. Cai N. Zhang 2001 Explicit analytical wave solutions of unsteady 1-D ideal gas flow with friction and heat transfer Science in China, Ser. E 44 4 414 420 10.1007/BF02916693 1892418 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.
14. 14. R. Cai N. Zhang 2003 Explicit analytical solutions of 2-D laminar natural convection Int’l. J. Heat Mass Transfer 46 931 934 1041.76070 10.1016/S0017-9310(02)00359-9 Cai, R., Zhang, N., Explicit analytical solutions of 2-D laminar natural convection, Int’l. J. Heat Mass Transfer, 2003, 46: 931–934.
15. 15. R. Cai N. Zhang 2003 Explicit analytical solutions of linear and nonlinear interior heat and mass transfer equation sets for drying process ASME TRANS J. Heat Transfer 125 1 175 178 10.1115/1.1482401 Cai, R., Zhang, N., Explicit analytical solutions of linear and nonlinear interior heat and mass transfer equation sets for drying process, ASME TRANS J. Heat Transfer, 2003, 125(1): 175–178.
16. 16. R. Cai N. Zhang 2001 Some algebraically explicit analytical solutions of unsteady nonlinear heat conduction ASME TRANS J. Heat Transfer 123 6 1189 1191 10.1115/1.1392990 1853148 Cai, R., Zhang, N., Some algebraically explicit analytical solutions of unsteady nonlinear heat conduction, ASME TRANS J. Heat Transfer, 2001, 123(6): 1189–1191.