Abstract
In the present work, the effect of mixed convection about vertical surfaces on the phenomenon of melting process in a fluid-saturated porous medium is analyzed on the basis of boundary layer approximations. Similarity solutions are obtained for aiding external flow. The final similarity equations are integrated numerically by use of the fourth-order Runge–Kutta method. Results are reported for the flow and thermal fields in the melt region. The melting phenomenon decreases the local Nusselt number at the solid–liquid interface.
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Cheng, P. and Minkowycz, W. J.: Free convection about a vertical flat plate embedded in a porous medium with application to heat transfer from a dike, J. Geophys. Res. 82 (1977), 2040–2049.
Gorla, R. S. R. and Zinolabedini, A.: Free convection from a vertical plate with nonuniform surface temperature and embedded in a porous medium, Transactions of ASME, J. Energy Resour. Technol. 109 (1987), 26–30.
Gorla, R. S. R. and Tornabene, R.: Free convection from a vertical plate with nonuniform surface heat flux and embedded in a porous medium, Transport in Porous Media 3 (1988), 95–106.
Minkowycz, W. J., Cheng, P. and Chang, C. H.: Mixed convection about a nonisothermal cylinder and sphere in a porous medium, Num. Heat Transfer 8 (1985), 349–359.
Ranganathan, P. and Viskanta, R.: Mixed convection boundary layer flow along a vertical surface in a porous medium, Num. Heat Transfer, 7 (1984), 305–317.
Nakayama, A. and Pop, I.: A unified similarity transformation for free, forced and mixed convection in Darcy and non-Darcy porous media, Int. Heat Mass Transfer J. 28 (1985), 683–697.
Hsieh, J. C., Chen, T. S. and Armaly, B. F.: Nonsimilarity solutions for mixed convection from vertical surfaces in porous media, Int. Heat Mass Transfer J. 36 (1993), 1485–1493.
Kumari, M. and Gorla, R. S. R.: Combined convection along a non-isothermal vertical plate in a porous medium, Heat Mass Transfer J. 32 (1997), 393–398.
Reid, R. L.: Integral methods for the melting of permafrost by ground water flow, 15th Natl. Heat Transfer Conf., San Francisco, Paper AIChE 32E10-G7, August 1975.
Epstein, M. and Cho, D. H.: Melting heat transfer in steady laminar flow over a flat plate, ASME J. Heat Transfer 98 (1976), 531–533.
Kazmierczak, M., Poulikakos, D. and Pop, I.: Melting from a flat plate embedded in a porous medium in the presence of steady convection, Num. Heat Transfer 10 (1986), 571–581.
Kazmierczak, M., Poulikakos, D. and Sadowski, D.: Melting of a vertical plate in porous medium controlled by forced convection of a dissimilar fluid, Int. Commun. Heat Mass Transfer 14 (1987), 507–517.
Bear, J.: Dynamics of Fluids in Porous Media, Elsevier, New York, 1972.
Cheng, P.: The influence of lateral mass flux on free convection boundary layers in a saturated porous medium, Int. J. Heat Mass Transfer 20 (1977), 201–206.
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Gorla, R.S.R., Mansour, M.A., Hassanien, I.A. et al. Mixed Convection Effect on Melting from a Vertical Plate in a Porous Medium. Transport in Porous Media 36, 245–254 (1999). https://doi.org/10.1023/A:1006566924390
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DOI: https://doi.org/10.1023/A:1006566924390