Title

Exact Solutions Of Nonlinear Differential Equations Arising In Third Grade Fluid Flows

Keywords

Closed form solution; Rotating cylinder; Third grade fluid

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 ω (rotation parameter) are useful for experimental and numerical studies, and warrant further study. © 2004 Elsevier Ltd. All rights reserved.

Publication Date

12-1-2004

Publication Title

International Journal of Non-Linear Mechanics

Volume

39

Issue

10

Number of Pages

1571-1578

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.ijnonlinmec.2003.12.005

Socpus ID

3242709575 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/3242709575

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