MULTIPLE SOLUTIONS FOR HYDROMAGNETIC FLOW OF A SECOND GRADE FLUID OVER A STRETCHING OR SHRINKING SHEET

    Authors

    R. A. Van Gorder;K. Vajravelu

    Comments

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    Abbreviated Journal Title

    Q. Appl. Math.

    Keywords

    Similarity solution; stretching sheet; shrinking sheet; Navier-Stokes; equations; exact solution; hydromagnetic flow; viscoelastic fluid; second grade fluid; multiple solutions; BOUNDARY-LAYER-FLOWS; NON-NEWTONIAN FLUID; NAVIER-STOKES EQUATIONS; MHD; VISCOUS-FLOW; HEAT-TRANSFER; VISCOELASTIC FLUID; ANALYTIC SOLUTION; STAGNATION POINT; SURFACE; BRANCH; Mathematics, Applied

    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.

    Journal Title

    Quarterly of Applied Mathematics

    Volume

    69

    Issue/Number

    3

    Publication Date

    1-1-2011

    Document Type

    Article

    Language

    English

    First Page

    405

    Last Page

    424

    WOS Identifier

    WOS:000293935400001

    ISSN

    0033-569X

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