Abstract
This article considers the oscillatory flows of a generalized Burgers' fluid on an infinite insulating plate when the fluid is permeated by a transverse magnetic field. The effects of Hall current are taken into account. Modified Darcy's law for a generalized Burgers' fluid has been used to discuss the flows in a porous medium. The governing time dependent equations in a rotating frame are first developed and then solved for the two problems. The influence of various emerging parameters is discussed through various graphs. The solutions for the Newtonian, second grade, Maxwell, Oldroyd-B and Burgers' fluids can be obtained from our solutions as the limiting cases.
| Original language | English |
|---|---|
| Pages (from-to) | 749-760 |
| Number of pages | 12 |
| Journal | Applied Mathematical Modelling |
| Volume | 32 |
| Issue number | 5 |
| DOIs | |
| State | Published - May 2008 |
| Externally published | Yes |
Keywords
- Generalized Burgers' fluid
- Mathematical modelling
- Modified Darcy's law
- Porous space
- Rotating frame
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