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Investigation of a powerful analytical method into natural convection boundary layer flow |
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| Authors: | Abdoul R Ghotbi H Bararnia G Domairry A Barari |
| Institution: | 1. Département de Génie Mécanique, Faculté de Technologie, Université Mustapha Ben Boulaid Batna 2, 05000 Batna, Algeria;2. Laboratoire d''Innovation en Construction, Eco-conception et Génie Sismique, LICEGS, Université Mustapha Ben Boulaid, Batna, Algeria;3. Ecole Polytechnique, Université de Montréal, C.P. 6079, Succ. «Centre Ville», Montréal, Québec, H3C 3A7, Canada |
| Abstract: | The natural convection boundary layer flow modeled by a system of nonlinear differential equations is considered. By means of similarity transformation, the non-linear partial differential equations are reduced to a system of two coupled ordinary differential equations. The series solutions of coupled system of equations are constructed for velocity and temperature using homotopy analysis method (HAM). Convergence of the obtained series solution is discussed. Finally some figures are illustrated to show the accuracy of the applied method and assessment of various prandtl numbers on the temperature and the velocity is undertaken. |
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