Title

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

Authors

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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