Title

Hydromagnetic Stagnation Point Flow Of A Second Grade Fluid Over A Stretching Sheet

Keywords

Analytical solution; Existence theorem; Second grade fluid; Stagnation point flow; Stretching sheet; Uniqueness theorem

Abstract

We establish the existence and uniqueness results over the semi-infinite interval [0, ∞) for a class of nonlinear fourth order ordinary differential equations arising in the hydromagnetic stagnation point flow of a second grade fluid over a stretching sheet. In particular, we establish the existence and uniqueness results, and properties of physically meaningful solutions for several sets of values of the parameters M, K, s, χ and C. Then, a method of obtaining analytical solutions for this general class of differential equations is outlined. From such a general method, we are able to obtain an analytical expression for the shear stress at the wall in terms of the physical parameters of the model. Numerical results are used to illustrate the properties of the velocity field and the shear stress at the wall. We find that the viscoelastic parameter K has a smoothing effect on the flow field. Furthermore, an increase in K results in a decrease in the magnitude of the shear stress at the wall. © 2009 Elsevier Ltd. All rights reserved.

Publication Date

1-1-2010

Publication Title

Mechanics Research Communications

Volume

37

Issue

1

Number of Pages

113-118

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.mechrescom.2009.09.009

Socpus ID

75849126441 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/75849126441

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