Title

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

Authors

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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