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

    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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