Approximate analytical solutions for flow of a third-grade fluid through a parallel-plate channel filled with a porous medium
No Thumbnail Available
Date
2010
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
The flow of a non-Newtonian fluid through a porous media in between two parallel plates at different temperatures is considered. The governing momentum equation of third-grade fluid with modified Darcy's law and energy equation have been derived. Approximate analytical solutions of momentum and energy equations are obtained by using perturbation techniques. Constant viscosity, Reynold's model viscosity, and Vogel's model viscosity cases are treated separately. The criteria for validity of approximate solutions are derived. A numerical residual error analysis is performed for the solutions. Within the validity range, analytical and numerical solutions are in good agreement. © 2009 Springer Science+Business Media B.V.
Description
Keywords
Error analysis , Fluids , Non Newtonian flow , Parallel flow , Porous materials , Porous plates , Viscosity , Analytical and numerical solutions , Approximate analytical solutions , Approximate solution , Darcy's law , Energy equation , In-between , Momentum equation , Non-Newtonian fluids , Parallel plates , Parallel-plate channels , Parallel-plate flow , Porous Media , Porous medium , Porous space , Residual error , Third grade fluids , Darcy law , fluid flow , non-Newtonian fluid , numerical model , porous medium , Reynolds number , viscosity , Perturbation techniques