Stability analysis of fluid flow over a nonlinearly stretching sheet

    Authors

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

    Comments

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    Abbreviated Journal Title

    Arch. Appl. Mech.

    Keywords

    Boundary layer flow; Stretching sheet; Stability analysis; VISCOELASTIC FLUID; HEAT-TRANSFER; PLATE; Mechanics

    Abstract

    We discuss the stability of solutions to a class of nonlinear third-order ordinary differential equations arising in the viscous flow over a nonlinearly stretching sheet. In particular, we consider solutions over the semi-infinite interval [0, a). These results complement the available existence and uniqueness results in the literature. We find that, in general, there is one stable solution branch and one unstable solution branch. Furthermore, it is observed that the stable solution becomes more stable with an increase in the nonlinearity due to the stretching sheet, while the unstable solution branch becomes more unstable given such an increase in the nonlinearity. The stable solution is the physically meaningful solution.

    Journal Title

    Archive of Applied Mechanics

    Volume

    81

    Issue/Number

    8

    Publication Date

    1-1-2011

    Document Type

    Article

    Language

    English

    First Page

    1087

    Last Page

    1091

    WOS Identifier

    WOS:000291739000008

    ISSN

    0939-1533

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