Natural convection of non-Newtonian power law fluids in a shallow horizontal rectangular cavity uniformly heated from below |
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Authors: | M. Lamsaadi M. Naïmi M. Hasnaoui |
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Affiliation: | (1) Faculté des Sciences et Techniques, Département de Physique, UFR de Chimie Appliquée et Sciences de lEnvironnement, Equipe de Modélisation des Ecoulements et des Transferts (EMET), Université Cadi Ayyad, B.P. 523, Béni-Mellal, Marocco;(2) Faculté des Sciences Semlalia, Département de Physique, UFR de Thermique et Mécanique des Fluides, Laboratoire de Mécanique des Fluides et dEnergétique, Université Cadi Ayyad, B.P. 2390, Marrakech, Maroccco |
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Abstract: | Analytical and numerical study is conducted for two-dimensional steady-state buoyancy driven flow of a non-Newtonian power law fluid confined in a shallow rectangular horizontal cavity uniformly heated from below, while its short vertical rigid sides are considered adiabatic. The effect of the non-Newtonian behaviour on the onset of convection, fluid flow, temperature field, and heat transfer is examined. A closed approximate analytical solution is developed on the basis of the parallel flow assumption and the obtained results are validated numerically by solving the full governing equations. |
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