Title

Multiple Solutions For Hydromagnetic Flow Of A Second Grade Fluid Over A Stretching Or Shrinking Sheet

Keywords

Exact solution; Hydromagnetic flow; Multiple solutions; Navier-Stokes equations; Second grade fluid; Shrinking sheet; Similarity solution; Stretching sheet; Viscoelastic fluid

Abstract

We study a class of fourth-order nonlinear differential equations arising in the hydromagnetic flow of a second grade fluid over a stretching or shrinking sheet. Explicit exact solutions are obtained. Furthermore we show that the differential equation may admit zero or one or two physically meaningful solutions depending on the values of the physical parameters of the model. As a special case, we recover the single or the dual solutions and compare them with the available results in the literature. Also, the obtained multiple solutions for several sets of values of the parameters are presented through tables and graphs, and the qualitative behaviors are discussed. © 2011 Brown University.

Publication Date

1-1-2011

Publication Title

Quarterly of Applied Mathematics

Volume

69

Issue

3

Number of Pages

405-424

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1090/S0033-569X-2011-01211-1

Socpus ID

79960872242 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/79960872242

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