Non-similar boundary layer analysis of mixed convection about a horizontal heated surface in a fluid-saturated porous medium |
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Authors: | W.J. Minkowycz Ping Cheng Robert N. Hirschberg |
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Affiliation: | Department of Mechanical Engineering University of Illinois at Chicago Chicago, Illinois 60680, USA;Department of Mechanical Engineering University of Hawaii at Manoa Honolulu, Hawaii 96822, USA;Department of Mechanical Engineering University of Illinois at Chicago Chicago, Illinois 60680, USA |
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Abstract: | An analysis has been performed for the study of the buoyancy effects in the parallel and stagnation forced flows in a porous medium adjacent to a heated surface with wall temperature being a power function of distance, i.e., . Local non-similarity methods were used to obtain approximate solutions for the problem. Numerical solutions were carried out to the third level of truncation for parallel aiding flow over a heated horizontal surface with for a wide range of buoyancy parameters. For wall temperature with λ < 0.5, it is found that the differences between the first and the third level of truncations are very small. The difference is more marked for λ > 0.5, and it accentuates as the value of the buoyancy parameter or λ is increased. |
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