Article ID Journal Published Year Pages File Type
1709931 Applied Mathematics Letters 2007 5 Pages PDF
Abstract

In this work, we consider a viscous boundary layer flow past a flat plate at a non-zero pressure gradient, for a viscoelastic fluid governed by the FENE-P model. Assuming that the Reynolds number Re and the Weissenberg number He satisfy the condition ReWe2≪1, we will show that the stream function is modeled by a generalized Falkner–Skan equation. Intuitively, this means that 1/He2 grows much faster than Re, that is Re=o(1/He2). Further, it is shown that this extended Falkner–Skan equation can be reduced to the classical Falkner–Skan equation via a function transformation. Finally, a decomposition algorithm is implemented for the numerical solution of the governing equation and an estimate of the skin friction coefficient is obtained.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
Authors
, ,