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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 629-637 |
| Number of pages | 9 |
| Journal | Mathematical and Computer Modelling |
| Volume | 41 |
| Issue number | 6-7 |
| DOIs | |
| State | Published - Mar 1 2005 |
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All Science Journal Classification (ASJC) codes
- Modeling and Simulation
- Computer Science Applications
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Unsteady motions of a generalized second-grade fluid. / Khan, M.; Nadeem, S.; Hayat, T.; Siddiqui, Abdul M.
In: Mathematical and Computer Modelling, Vol. 41, No. 6-7, 01.03.2005, p. 629-637.Research output: Contribution to journal › Article
TY - JOUR
T1 - Unsteady motions of a generalized second-grade fluid
AU - Khan, M.
AU - Nadeem, S.
AU - Hayat, T.
AU - Siddiqui, Abdul M.
PY - 2005/3/1
Y1 - 2005/3/1
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.
UR - http://www.scopus.com/inward/record.url?scp=23244438700&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=23244438700&partnerID=8YFLogxK
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 -