Title
Exact solutions of accelerated flows for a Burgers' fluid. I. The case gamma<lambda2/4
Abstract
In this paper, we derive the exact solutions of accelerated flows for a Burgers’ fluid. The expressions for the velocity field and the associated tangential stress to the flows of a Burgers’ fluid induced by the accelerating flat plate are established when the relaxation times satisfy the condition γ<λ2/4. Employing the Laplace transform, the exact solutions are developed for the following two problems: (i) constantly accelerating flow and (ii) variable accelerating flow. The corresponding solutions for a Newtonian, second grade, Maxwell and Oldroyd-B fluids appear as the limiting cases of the presented analysis.
Year
DOI
Venue
2008
10.1016/j.amc.2008.05.121
Applied Mathematics and Computation
Keywords
DocType
Volume
Burgers’ fluid,Exact solutions,Accelerating flows,Relaxation times
Journal
203
Issue
ISSN
Citations 
2
0096-3003
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
M. Khan13212.73
S. Hyder Ali221.38
C. Fetecau3216.21