On solutions of some non-linear differential equations arising in third grade fluid flows

    Authors

    K. Vajravelu; J. R. Cannon; D. Rollins;J. Leto

    Comments

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    Abbreviated Journal Title

    Int. J. Eng. Sci.

    Keywords

    STABILITY; THERMODYNAMICS; Engineering, Multidisciplinary

    Abstract

    Numerical solutions for a class of non-linear second order differential equations arising in third grade fluid flows between rotating cylinders are obtained. Furthermore, using the Schauder theory and perturbation technique, existence, uniqueness and analyticity results are established. Moreover, the exact analytical solutions (in integral form) are obtained and are compared with the corresponding numerical solutions. The results obtained for the flow characteristics reveal many interesting behaviors that warrant further study of the effects of rotation on the flow characteristics. (C) 2002 Elsevier Science Ltd. All rights reserved.

    Journal Title

    International Journal of Engineering Science

    Volume

    40

    Issue/Number

    16

    Publication Date

    1-1-2002

    Document Type

    Article

    Language

    English

    First Page

    1791

    Last Page

    1805

    WOS Identifier

    WOS:000178470300001

    ISSN

    0020-7225

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