Title

On Solutions Of Some Non-Linear Differential Equations Arising In Third Grade Fluid Flows

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. © 2002 Elsevier Science Ltd. All rights reserved.

Publication Date

9-1-2002

Publication Title

International Journal of Engineering Science

Volume

40

Issue

16

Number of Pages

1791-1805

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/S0020-7225(02)00070-8

Socpus ID

0036723120 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0036723120

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