Title

Third-Order Partial Differential Equations Arising In The Impulsive Motion Of A Flat Plate

Keywords

Exact solution; Numerical solution; Second-order fluid; Third-order partial differential equation

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. © 2008 Elsevier B.V. All rights reserved.

Publication Date

1-1-2009

Publication Title

Communications in Nonlinear Science and Numerical Simulation

Volume

14

Issue

6

Number of Pages

2629-2636

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.cnsns.2008.09.014

Socpus ID

58349107025 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/58349107025

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