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Heat Transfer Research
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ISSN Imprimir: 1064-2285
ISSN En Línea: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.v40.i8.20
pages 729-745

Approximate Solution of Mixed-Convection Boundary-Layer Flow Adjacent to a Vertical Surface Embedded in a Stable Stratified Medium

Davood Ganji (D.D. Ganji)
Babol University
A. Asgharian
Department of Mechanical Engineering, Babol University of Technology, P. O. Box 484, Babol, Iran
N. Sedaghati Zadeh
Department of Mechanical Engineering, Babol University of Technology, P. O. Box 484, Babol, Iran


In this paper, the analytic solution of the steady mixed-convection boundary-layer flow through a stable stratified medium adjacent to a vertical surface is obtained using the newly developed analytic method, namely the homotopy analysis method (HAM). The velocity outside the boundary layer and the surface temperature are assumed to vary linearly from the leading edge of the surface. It is found that dual solutions exist, and the thermal stratification delays the boundary layer separation.
The analytic results are compared with the numerical solution (NS) and the comparison demonstrates that there is good agreement between the numerical solution and the HAM solution. Moreover, the convergence of the obtained HAM solution is discussed explicitly. The obtained analytic solution is valid for all values of the dimension-less parameters λ and Pr as is shown below.

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