Existence results for third order nonlinear boundary value problems arising in nano boundary layer fluid flows over stretching surfaces

    Authors

    F. T. Akyildiz; H. Bellout; K. Vajravelu;R. A. Van Gorder

    Comments

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    Abbreviated Journal Title

    Nonlinear Anal.-Real World Appl.

    Keywords

    Nanofluids; Navier boundary condition; Existence and uniqueness results; Schauder fixed point theorem; Stretching surface; VISCOUS-FLOW; SHEET; Mathematics, Applied

    Abstract

    Solutions for a class of degenerate, nonlinear, nonlocal boundary value problems, arising in nano boundary layer fluid flows over a stretching surface, are obtained. Viscous flows over a two-dimensional stretching surface and an axisymmetric stretching surface are considered. Using the Schauder fixed point theorem, existence and uniqueness results are established. The effects of the slip parameter k and the suction parameter a on the fluid velocity and on the tangential stress are investigated and discussed (through numerical results). We find that for fluid flows at nanoscales, the shear stress at the wall decreases (in an absolute sense) with an increase in the slip parameter k. (C) 2011 Elsevier Ltd. All rights reserved.

    Journal Title

    Nonlinear Analysis-Real World Applications

    Volume

    12

    Issue/Number

    6

    Publication Date

    1-1-2011

    Document Type

    Article

    Language

    English

    First Page

    2919

    Last Page

    2930

    WOS Identifier

    WOS:000295232900001

    ISSN

    1468-1218

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