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Natural Convection Gas Transport in Porous Media

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Gas Transport in Porous Media

Part of the book series: Theory and Applications of Transport in Porous Media ((TATP,volume 20))

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References

Horizontal Surface

  • J.D. Chang and P. Cheng, Matched asymptotic expansions for free convection about an impermeable horizontal surface in a porous medium, Int. J. Heat Mass Transfer, vol. 26, pp. 163–174 (1983).

    MATH  Google Scholar 

  • P. Cheng, Geothermal heat transfer, in W.M. Rohsenow, J.P. Hartnett, and E.N. Ganic (eds.), Handbook of Heat Transfer Applications, 2nd ed., Chap. 11, McGraw-Hill, NY (1985).

    Google Scholar 

  • D. Lesnic, D.B. Ingham and I. Pop. Conjugate free convection from a horizontal surface in a porous medium. Zeitschrift fur Angewandte Mathematik und Mechanik, vol. 75, pp. 715–722 (1995).

    MATH  MathSciNet  Google Scholar 

  • D. Lesnic and I. Pop, Free convection in a porous medium adjacent to horizontal surfaces. Zeitschrift fur Angewandte Mathematik und Mechanik, vol. 78, pp. 197–205 (1998).

    Article  MATH  MathSciNet  Google Scholar 

  • D.A. Nield and A. Bejan, Convection in Porous Media, Springer-Verlag, NY (1992).

    MATH  Google Scholar 

  • I. Pop and R.S.R. Gorla, Horizontal boundary-layer natural convection in a porous medium saturated with a gas, Transport In Porous Media, vol. 6, pp. 159–171 (1991).

    Article  Google Scholar 

  • D.A. Rees and D.S. Riley, Free convection above a near horizontal semi-infinite heated surface embedded in a saturated porous medium, Int. J. Heat Mass Transfer, vol. 28, pp. 183–190 (1985).

    Article  MATH  Google Scholar 

  • D.A.S. Rees, The effect of inertia on free convection from a horizontal surface embedded in a porous medium, Int. J. Heat Mass Transfer, vol. 39, pp. 3425–3430 (1996).

    Article  Google Scholar 

  • D.A.S. Rees and K. Vafai, Darcy-Brinkman free convection from a heated horizontal surface, Numerical Heat Transfer, Part A, vol. 35, pp. 191–204 (1999).

    Article  Google Scholar 

Vertical Surface

  • A. Chamkha, MHD-free convection from a vertical plate embedded in a thermally stratified porous medium with Hall effects, Appl. Math. Modeling, vol. 21, pp. 603–609 (1997a).

    Article  MATH  Google Scholar 

  • P. Cheng and W.J. Minkowycz, Free convection about a vertical flat plate embedded in a porous medium with application to a heat transfer from a dike, J. Geophys. Res., vol. 82, pp. 2040–2044 (1977).

    Google Scholar 

  • P. Cheng and C.T. Hsu, Higher-order approximations for Darcian free convective flow about a semi-infinite vertical flat plate, J. Heat Transfer, vol. 106, pp. 143–151 (1984).

    Google Scholar 

  • S.D. Harris, L. Elliott, D.B. Ingham and I. Pop, Transient free convection flow past a vertical flat plate subject to a sudden change in surface temperature. Int. J. Heat Mass Transfer, vol. 41, pp. 357–372 (1998).

    Article  MATH  Google Scholar 

  • J.T. Hong, Y. Yamada and C.L. Tien, The effects of non-Darcian and nonuniform porosity on vertical-plate natural convection in porous media. J. Heat Transfer, vol. 109, pp. 356–362 (1987).

    Google Scholar 

  • M.A. Hossain, M. Alim and D.A.S. Rees, The effect of radiation on free convection from a porous vertical plate. Int. J. Heat Mass Transfer, vol. 42, pp. 181–191 (1999).

    Article  MATH  Google Scholar 

  • M.A. Hossain, K. Khanafer and K. Vafai, The effect of radiation on free convection flow of fluid with variable viscosity from a porous vertical plate. Int. J. Thermal Sciences, vol. 40, pp. 115–124 (2001).

    Article  Google Scholar 

  • C.T. Hsu and P. Cheng, The Brinkman model for natural convection about a semi-infinite vertical flat plate in a porous medium, Int. J. Heat Mass Transfer, vol. 28, pp. 683–697 (1985).

    Article  MATH  Google Scholar 

  • Jian Li, D.B. Ingham and I. Pop, Natural convection from a vertical flat plate with a surface temperature oscillation. Int. J. Heat Mass Transfer, vol. 44, pp. 2311–2322 (2001).

    Article  MATH  Google Scholar 

  • Y. Joshi and B. Gebhart, Vertical natural convection flows in porous media: calculations of improved accuracy, Int. J. Heat Mass Transfer, vol. 27, pp. 69–75 (1984).

    Article  MATH  Google Scholar 

  • M. Kaviany and M. Mittal, Natural convection heat transfer from a vertical plate to high permeability porous media: an experiment and an approximate solution. J. Heat Mass Transfer, vol. 30, pp. 967–977 (1987).

    Article  MATH  Google Scholar 

  • S.J. Kim and K. Vafai, Analysis of natural convection about a vertical plate embedded in a porous medium, Int. J. Heat Mass Transfer, vol. 32, pp. 665–677 (1989).

    Article  MATH  Google Scholar 

  • J.L. Lage and A. Bejan, Natural convection from a vertical surface covered with hair, Int. J. Heat Fluid Flow, vol. 12, pp. 46–53 (1991).

    Article  Google Scholar 

  • T. Watanabe, H. Taniguchi and I. Pop, Instability of laminar natural convection boundary layer flow on a vertical porous flat plate. Transactions of the ASME. Journal of Applied Mechanics, vol. 63, pp. 404–410 (1996).

    Article  MATH  Google Scholar 

  • T. Watanabe, H. Taniguchi, M. Kumagai and I. Pop, Stability of free convection with uniform suction or injection from a vertical flat plate subjected to a constant wall heat flux. Acta Mechanica, vol. 136, pp. 143–53 (1999).

    Article  MATH  Google Scholar 

Inclined Surface

  • A. Chamkha, Hydromagnetic natural convection from an isothermal inclined surface adjacent to a thermally stratified porous medium, Int. J. Engng. Sci., vol. 35, pp. 975–986 (1997b).

    Article  MATH  MathSciNet  Google Scholar 

  • M.A. Hossain and I. Pop, Radiation effect on Darcy free convection flow along an inclined surface placed in porous media, Heat and Mass Transfer, vol. 32, pp. 223–227 (1997).

    Article  Google Scholar 

  • J.Y. Jang and W.J. Chang, Buoyancy-induced inclined boundary layer flow in saturated porous medium, Comp. Method Appl. Mech. Engng., vol. 68, pp. 333–344 (1988).

    Article  MATH  Google Scholar 

  • B. Zeghmati, M. Daguenet and G. Lepalec, Study of transient laminar free convection over an inclined wet flat plate, Int. J. Heat Mass Transfer, vol. 34, pp. 899–909 (1991).

    Article  MATH  Google Scholar 

Channel

  • M.A. Al-Nimr and M.A. Hader, MHD free convection flow in open-ended vertical porous channels, Chemical Engineering Science, vol. 54, pp. 1883–1889 (1999).

    Article  Google Scholar 

  • T. Paul, A.K. Singh, and A.K. Mishra,Transient natural convection between two vertical walls filled with a porous material having variable porosity, Mathematical Engineering In Industry, vol. 8, pp. 177–185 (2001).

    MATH  Google Scholar 

Cylinder

  • M. A. Hossain, M. A. Alim and D.A.S. Rees Effect of thermal radiation on natural convection over cylinders of elliptic cross section, Acta Mechanica, vol. 129, pp. 177–186 (1998).

    Article  MATH  Google Scholar 

  • M.A. Hossain, K. Vafai and M. Khalil, Khanafer, Non-Darcy natural convection heat and mass transfer along a vertical permeable cylinder embedded in a porous medium. Int. J. Thermal Sciences, vol. 38, pp. 854–862 (1999).

    Article  Google Scholar 

  • D.B. Ingham and I. Pop, Natural convection about a heated horizontal cylinder in a porous medium, J. Fluid Mechanics, vol. 184, pp. 157–181 (1987).

    Article  MATH  Google Scholar 

  • M. Kumari, I. Pop and G. Nath, Non-Darcy natural convection on a vertical cylinder in a saturated porous medium. Waerme und Stoffuebertragung, vol. 20, pp. 33–37 (1986).

    Article  Google Scholar 

  • W.J. Minkowycz and E.M. Sparrow, Local nonsimilar solutions for natural convection on a vertical cylinder, J. Heat Transfer, vol. 96, pp. 178–183 (1974).

    Google Scholar 

  • W.J. Minkowycz and Ping Cheng, Free convection about a vertical cylinder embedded in a porous medium, Int. J. Heat Mass Transfer, vol. 19, pp. 805–813 (1976).

    Article  MATH  Google Scholar 

  • Slimi K., Ben Nasrallah S. and Fohr J.-P., Transient natural convection in a vertical cylinder opened at the extremities and filled with a fluid saturated porous medium: validity of Darcy flow model and thermal boundary layer approximations Int. J. Heat Mass Transfer, vol. 41, pp. 1113–1125 (1998).

    Article  MATH  Google Scholar 

Sphere

  • T. Sano and R. Okihara, Natural convection around a sphere immersed in a porous medium at small Rayleigh numbers. Fluid Dynamics Research, vol. 13, pp. 39–44 (1994).

    Article  Google Scholar 

  • K. Yamamoto, Natural convection about a heated sphere in a porous medium, J. Physical Society of Japan, vol. 37, pp. 1164–1166 (1974).

    Article  Google Scholar 

  • K.A. Yih. Viscous and Joule heating effects on non-Darcy MHD natural convection flow over a permeable sphere in porous media with internal heat generation. Int. Comm. Heat Mass Transfer, vol. 27, pp. 591–600 (2000).

    Article  Google Scholar 

Enclosure

  • C. Beckermann, R. Viskanta and S. Ramadhyani, A numerical study of non-Darcian natural convection in a vertical enclosure filled with a porous medium. Numer. Heat Transfer, vol. 10, pp. 557–570 (1986).

    Google Scholar 

  • Y.-H. Chen and H.-T. Lin, Natural convection in an inclined enclosure with a fluid layer and a heat-generating porous bed. Heat and Mass Transfer, vol. 33, pp. 247–255 (1997).

    Article  Google Scholar 

  • S. Das, and R.K. Sahoo. Effect of Darcy, fluid Rayleigh and heat generation parameters on natural convection in a porous square enclosure: a Brinkman-extended Darcy model. Int. Comm. Heat Mass Transfer, vol. 26, pp. 569–578 (1999).

    Article  Google Scholar 

  • Z.-G. Du and E. Bilgen, Natural convection in vertical cavities with internal heat generating porous media, Heat and Mass Transfer, vol. 27, pp. 149–155 (1992).

    Google Scholar 

  • S.M. ElSherbiny, G.D. Raithby and K.G.T. Hollands, Heat transfer by natural convection across vertical and inclined air layers. J. Heat Transfer, vol. 104, pp. 96–102 (1982).

    Google Scholar 

  • In-Ju Hwang and Y.J. Kim, An experimental study of natural convection in the composed rectangular-parallelogrammic enclosure. Hwang, In-Ju; Kim, Youn J. Proceedings of Renewable and Advanced Energy Systems for the 21st Century, Maui, HI, United States, pp. 271–275 (1999).

    Google Scholar 

  • K.M. Khanafer and A.J. Chamkha, Hydromagnetic natural convection from an inclined porous square enclosure with heat generation. Numer. Heat Transfer, Part A, vol. 33, pp. 891–910 (1998).

    Google Scholar 

  • J.L. Lage, Effect of the convective inertia term on Benard convection in a porous medium, Numer. Heat Transfer, vol. 22, pp. 469–485 (1992).

    Google Scholar 

  • J.L. Lage, Natural convection within a porous medium cavity: predicting tools for flow regime and heat transfer. Int. Comm. Heat Mass Transfer, vol. 20, pp. 501–513 (1993).

    Article  Google Scholar 

  • P. Nithiarasu, K.N. Seetharamu and T. Sundararajan, Natural convective heat transfer in a fluid saturated variable porosity medium, Int. J. Heat Transfer, vol. 40, pp. 3955–3967 (1997a).

    Article  MATH  Google Scholar 

  • M.B. Peirotti, M.D. Giavedoni, M.D., and J.A. Deiber. Natural convective heat transfer in a rectangular porous cavity with variable fluid properties - validity of the Boussinesq approximation. Int. J. Heat Mass Transfer, vol. 3, pp. 2571–2581 (1987).

    Article  Google Scholar 

  • V. Shankar and C.-E. Hagentoft, Numerical investigation of natural convection in horizontal porous media heated from below–comparisons with experiments, Journal of Thermal Envelope and Building Science, vol. 23, pp. 318–338 (2000).

    Article  Google Scholar 

  • P.H. Stauffer, L.H. Auer, N.D. Rosenberg, Compressible gas in porous media: A finite amplitude analysis of natural convection, vol. 40, pp. 1585–1589 (1997).

    Google Scholar 

  • H.C. Tien and K. Vafai, Pressure stratification effects on multiphase transport across a vertical slot porous insulation. Transactions of the ASME. Journal of Heat Transfer, vol. 112, pp. 1023–1031 (1990).

    Google Scholar 

  • T. Tong and F.M. Gerner, Natural convection in partitioned air-filled rectangular enclosures, Int. Comm. Heat Mass Transfer, vol. 13, pp. 99–108 (1986).

    Article  Google Scholar 

  • T.W. Tong and E. Subramanian, Natural Convection in Rectangular Enclosures Partially Filled with a Porous Medium, Int. J. Heat and Fluid Flow, vol. 7, pp. 3–10 (1986).

    Article  Google Scholar 

  • K. Vafai and S. Sarkar, Condensation effects in a fibrous insulation slab, ASME Journal of Heat Transfer, vol. 108, pp. 667–675 (1986).

    Article  Google Scholar 

  • K. Vafai and S. Sarkar, Heat and mass transfer in partial enclosures. Journal of Thermophysics and Heat Transfer, vol. 1, pp. 253–259 (1987).

    Article  Google Scholar 

  • K. Vafai and H.C. Tien, A numerical investigation of phase change effects in porous materials. Int. J. Heat Mass Transfer, vol. 32, pp. 1261–1277 (1989).

    Article  Google Scholar 

  • S.W. Webb, Modeling of open space natural convection in porous media codes, Proceedings of the 9th International High-Level Radioactive Waste Management Conference, April 29–May 3, Las Vegas, NV (2001).

    Google Scholar 

  • S.W. Webb and C.E. Hickox Jr., Assessment of the equivalent permeability relationship for open space natural convection, Proceedings of the 9th International High-Level Radioactive Waste Management Conference (IHLRWM), April 29–May 3, Las Vegas, NV (2001).

    Google Scholar 

  • N.G. Wright, P.H. Gaskell and P.A. Sleigh, Natural convection in a shallow laterally heated air field cavity, Comm. Numer. Methods Engineering, vol. 11, pp. 937–950 (1995).

    Article  MATH  Google Scholar 

Double-Diffusive Natural Convection within a Porous Medium

  • A. Chamkha and A. Khaled, Hydromagnetic combined heat and mass transfer by natural convection from a permeable surface embedded in a fluid-saturated porous medium, Int. J. Numer. Heat Fluid Flow, vol. 10, pp. 455–476 (2000).

    Article  MATH  Google Scholar 

  • M. Karimi-Fard, M.C. Charrier-Mojtabi and K. Vafai, Non-Darcian effects on double-diffusive convection within a porous medium, Numerical Heat Transfer, Part A, vol. 31, pp. 837–852 (1997).

    Google Scholar 

  • P. Nithiarasu, K.N. Seetharamu and T. Sundararajan, Double-diffusive natural convection in an enclosure filled with fluid-saturated porous medium: a generalized non-Darcy approach. Numerical Heat Transfer, Part A (Applications), vol. 30, pp. 413–426 (1996).

    Google Scholar 

  • P. Nithiarasu, T. Sundararajan and K.N. Seetharamu, Double-diffusive natural convection in a fluid saturated porous cavity with a freely convecting wall. Int. Comm. Heat Mass Transfer, vol. 24, pp. 1121–1130 (1997b).

    Article  Google Scholar 

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Khanafer, K., Vafai, K. (2006). Natural Convection Gas Transport in Porous Media. In: Ho, C.K., Webb, S.W. (eds) Gas Transport in Porous Media. Theory and Applications of Transport in Porous Media, vol 20. Springer, Dordrecht . https://doi.org/10.1007/1-4020-3962-X_10

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