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Free convection flow past a vertical flat plate embedded in a saturated porous medium. (English) Zbl 0505.76097

Summary: A numerical solution for the free convection flow past a vertical semi-infinite flat plate embedded in a highly saturated porous medium by allowing the plate to have a non-uniform temperature or a non-uniform heat flux distributions has been developed. Both local heat transfer rate and excess surface temperature as a function of the distance along the plate are tabulated for a few cases of prescribed wall temperature and heat flux distributions. Such tabulations serve as a reference against which other approximate solutions can be compared in the future.

MSC:

76R10 Free convection
76S05 Flows in porous media; filtration; seepage
76M25 Other numerical methods (fluid mechanics) (MSC2010)
Full Text: DOI

References:

[1] Cheng, P.; Minkowycz, W. J., J. Geophys. Res., 82, 2040 (1977)
[2] Cheng, P., Int. J. Heat Mass Transfer, 20, 201 (1977)
[3] Merkin, J. H., Int. J. Heat Mass Transfer, 21, 1499 (1978) · Zbl 0391.76061
[4] Merkin, J. H., J. Engng. Math., 14, 301 (1980) · Zbl 0433.76078
[5] Na, T. Y., Appl. Sci. Res., 33, 519 (1978)
[6] Na, T. Y., Computational Methods in Engineering Boundary Value Problems (1979), Academic Press: Academic Press New York · Zbl 0456.76002
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