Exact solutions of nonlinear differential equations arising in third grade fluid flows

    Authors

    F. T. Akyildiz; H. Bellout;K. Vajravelu

    Comments

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    Abbreviated Journal Title

    Int. J. Non-Linear Mech.

    Keywords

    closed form solution; third grade fluid; rotating cylinder; STABILITY; THERMODYNAMICS; UNIQUENESS; EXISTENCE; Mechanics

    Abstract

    Exact solutions for a class of non-linear second-order differential equations arising in a third grade fluid flow, at a rotating cylinder (unbounded domain case) and between rotating cylinders (bounded domain case), are obtained. Furthermore, the exact solutions are compared with the numerical ones. It is observed that the difference between the exact and the numerical solutions is about 1% for small R (the non-dimensional distance between the cylinders) and is about 3% when R = 100. This difference increases with an increasing R. Moreover, for large R it is not easy to obtain meaningful results numerically. Hence, these exact solutions for various values of the parameters R and omega (rotation parameter) are useful for experimental and numerical studies, and warrant further study. (C) 2004 Elsevier Ltd. All rights reserved.

    Journal Title

    International Journal of Non-Linear Mechanics

    Volume

    39

    Issue/Number

    10

    Publication Date

    1-1-2004

    Document Type

    Article

    Language

    English

    First Page

    1571

    Last Page

    1578

    WOS Identifier

    WOS:000223452600003

    ISSN

    0020-7462

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