Title | ||
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Exact solutions of accelerated flows for a Burgers' fluid. I. The case gamma<lambda2/4 |
Abstract | ||
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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 |
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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. Khan | 1 | 32 | 12.73 |
S. Hyder Ali | 2 | 2 | 1.38 |
C. Fetecau | 3 | 21 | 6.21 |