Title
Unsteady motions of a generalized second-grade fluid
Abstract
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.
Year
DOI
Venue
2005
10.1016/j.mcm.2005.01.029
Mathematical and Computer Modelling
Keywords
Field
DocType
unsteady flows,discrete laplace transform,unsteady flow,exact solutions,plate motion,unsteady motion,fractional calculus,flat plate,fractional derivative,constant tangential stress,generalized second-grade fluid,impulsive flow,oscillating rigid plate,accelerated plate,constant pressure gradient,laplace transform,exact solution,analytic solution,oscillations,pressure gradient
Mathematical optimization,Oscillation,Laplace transform,Mathematical analysis,Flow (psychology),Fractional calculus,Pressure gradient,Mathematics
Journal
Volume
Issue
ISSN
41
6-7
Mathematical and Computer Modelling
Citations 
PageRank 
References 
7
3.46
0
Authors
4
Name
Order
Citations
PageRank
M. Khan13212.73
S. Nadeem273.46
T. Hayat313350.23
A. M. Siddiqui473.80