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
Copyright Status
Unknown
Socpus ID
58349107025 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/58349107025
STARS Citation
Van Gorder, Robert A. and Vajravelu, K., "Third-Order Partial Differential Equations Arising In The Impulsive Motion Of A Flat Plate" (2009). Scopus Export 2000s. 12476.
https://stars.library.ucf.edu/scopus2000/12476