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The Rayleigh-Stokes problem for a generalized second grade fluid subject to a flow on a heated plate and within a heated edge was investigated. For description of such a viscoelastic fluid, fractional calculus approach in the constitutive relationship model was used. Exact solutions of the velocity and temperature fields were obtained using the Fourier sine transform and the fractional Laplace transform. The well-known solutions of the Stokes' first problem for a viscous Newtonian fluid, as well as those corresponding to a second grade fluid, appear in limiting cases of our results. (c) 2005 Elsevier Ltd. All rights reserved.
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NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
ISSN: 1468-1218
Year: 2006
Issue: 5
Volume: 7
Page: 1072-1080
2 . 0 0 0
JCR@2022
ESI Discipline: MATHEMATICS;
JCR Journal Grade:1
Cited Count:
WoS CC Cited Count: 150
SCOPUS Cited Count: 158
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 1