Lie group analysis of a non-Newtonian fluid flow over a porous surface
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Date
2012
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Abstract
Two-dimensional, unsteady squeezed flow over a porous surface for a power-law non-Newtonian fluid is considered. Continuity, momentum and energy equations are written and cast into a non-dimensional form. Boundary conditions are selected in a general form. Lie Group theory is applied to the equations. Then, a partial differential system with three independent variables is converted into an ordinary differential system, via application of two successive symmetry generators. The ordinary differential equations are solved numerically. Effects of flow behavior index, Prandtl number, squeezing parameter, surface velocity parameter and suction/injection parameter on the flow are outlined in the figures. © 2012 Sharif University of Technology. Production and hosting by Elsevier B.V. All rights reserved.
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Boundary conditions , Boundary layers , Capillary flow , Flow measurement , Lie groups , Non Newtonian liquids , Ordinary differential equations , Prandtl number , Rheology , Viscous flow , Lie group method , Non-Newtonian fluids , Porous surface , Power law fluid , Squeezed flow , boundary layer , fluid flow , non-Newtonian fluid , porous medium , power law , two-dimensional modeling , unsteady flow , Non Newtonian flow