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 |
All Science Journal Classification (ASJC) codes
- Modeling and Simulation
- Computer Science Applications
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Cite this
Khan, M., Nadeem, S., Hayat, T., & Siddiqui, A. M. (2005). Unsteady motions of a generalized second-grade fluid. Mathematical and Computer Modelling, 41(6-7), 629-637. https://doi.org/10.1016/j.mcm.2005.01.029