Abstract
This work is concerned with deriving the equation for describing the magnetohydrodynamic (MHD) flow of a fractional generalized Burgers' fluid in a porous space. Modified Darcy's law has been taken into account. Closed form solutions for velocity are obtained in three problems. The solutions for Navier-Stokes, second grade, Maxwell, Oldroyd-B and Burgers' fluids appear as the limiting cases of the obtained solutions. A parametric study of some physical parameters involved in the problems is performed to illustrate the influence of these parameters on the velocity profiles.
| Original language | English |
|---|---|
| Pages (from-to) | 1952-1965 |
| Number of pages | 14 |
| Journal | Nonlinear Analysis: Real World Applications |
| Volume | 9 |
| Issue number | 5 |
| DOIs | |
| State | Published - Dec 2008 |
| Externally published | Yes |
Keywords
- Exact solutions
- Fractional calculus
- Generalized Burgers' fluid
- Three problems
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