TY - JOUR
T1 - Unsteady motions of a generalized second-grade fluid
AU - Khan, M.
AU - Nadeem, S.
AU - Hayat, T.
AU - Siddiqui, A. M.
N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2005/3
Y1 - 2005/3
N2 - In this paper, six types of unsteady flows are examined, namely, the impulsive flow, flow caused by a constantly accelerated plate, flows induced by impulsive and constant pressure gradients, flows induced by plate motions, flow imposed by a flat plate that applies a constant tangential stress to the fluid, and flow generated by an oscillating rigid plate. A generalized second-grade model with the fractional calculus is considered. Exact analytical solutions of unsteady flows have been constructed by using discrete Laplace transform of fractional derivatives.
AB - In this paper, six types of unsteady flows are examined, namely, the impulsive flow, flow caused by a constantly accelerated plate, flows induced by impulsive and constant pressure gradients, flows induced by plate motions, flow imposed by a flat plate that applies a constant tangential stress to the fluid, and flow generated by an oscillating rigid plate. A generalized second-grade model with the fractional calculus is considered. Exact analytical solutions of unsteady flows have been constructed by using discrete Laplace transform of fractional derivatives.
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U2 - 10.1016/j.mcm.2005.01.029
DO - 10.1016/j.mcm.2005.01.029
M3 - Article
AN - SCOPUS:23244438700
VL - 41
SP - 629
EP - 637
JO - Mathematical and Computer Modelling
JF - Mathematical and Computer Modelling
SN - 0895-7177
IS - 6-7
ER -