Title

Third-order partial differential equations arising in the impulsive motion of a flat plate

Authors

Authors

R. A. Van Gorder;K. Vajravelu

Comments

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Abbreviated Journal Title

Commun. Nonlinear Sci. Numer. Simul.

Keywords

Second-order fluid; Third-order partial differential equation; Exact; solution; Numerical solution; PLANE WALL; FLUID; Mathematics, Applied; Mathematics, Interdisciplinary Applications; Mechanics; Physics, Fluids & Plasmas; Physics, Mathematical

Abstract

We obtain numerical solutions to a class of third-order partial differential equations arising in the impulsive motion of a flat plate for various boundary data. In particular, We Study the case of constant acceleration of the plate, the case of oscillation of the plate and a case in, which velocity is increasing yet acceleration is decreasing. We compare the numerical Solutions With the known exact Solutions in order to establish the validity of the method. Several figures illustrating both solution forms and the relative strength of the second and third-order terms are presented. The results obtained in this study reveal many interesting behaviors that warrant further study on the non-Newtonian fluid flow phenomena. (C) 2008 Elsevier B.V. All rights reserved.

Journal Title

Communications in Nonlinear Science and Numerical Simulation

Volume

14

Issue/Number

6

Publication Date

1-1-2009

Document Type

Article

Language

English

First Page

2629

Last Page

2636

WOS Identifier

WOS:000263590700017

ISSN

1007-5704

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