Stability analysis of the dual solutions for stagnation-point flow over a non-linearly stretching surface

    Authors

    T. R. Mahapatra; S. K. Nandy; K. Vajravelu;R. A. Van Gorder

    Comments

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    Abbreviated Journal Title

    Meccanica

    Keywords

    Dual solutions; Stability analysis; Existence and uniqueness; Stagnation-point flow; Nonlinearly stretching surface; BOUNDARY-LAYER-FLOW; HEAT-TRANSFER; VERTICAL SURFACE; POROUS-MEDIUM; VISCOUS-FLOW; SHEET; PLATE; Mechanics

    Abstract

    We formulate a general steady two-dimensional stagnation-point flow problem corresponding to the fluid flow over a non-linearly stretching sheet. We then study the existence, uniqueness and stability of the unsteady solutions about each steady solution. It is found that there exist two solution branches: one branch is always stable while the other is always unstable. Also, it is observed that with an increase in the nonlinearity of the stretching sheet, the stable solution becomes more stable while the unstable solution becomes more unstable. Further, we show that the stable solution is the physically meaningful solution and such a physical solution always exists. Moreover, the physically meaningful solution is shown to be monotone and unique.

    Journal Title

    Meccanica

    Volume

    47

    Issue/Number

    7

    Publication Date

    1-1-2012

    Document Type

    Article

    Language

    English

    First Page

    1623

    Last Page

    1632

    WOS Identifier

    WOS:000307268600006

    ISSN

    0025-6455

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