Starting solution for some oscillatory rotating flows of magnetohydrodynamic second-grade fluid through porous space
This paper presents a starting solution for some oscillating flows of an incompressible and electrically conducting second-grade fluid through porous space in a rotating frame of reference. Modified Darcy’s law for a second-grade fluid has been utilized to discuss the flows through porous space. Exa...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Begell House, Inc.
2011
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/4448/ http://irep.iium.edu.my/4448/ http://irep.iium.edu.my/4448/1/JPM-1640TN_2011.pdf |
| Summary: | This paper presents a starting solution for some oscillating flows of an incompressible and electrically conducting second-grade fluid through porous space in a rotating frame of reference. Modified Darcy’s law for a second-grade fluid has been utilized to discuss the flows through porous space. Exact analytical expressions for the velocity field are obtained in the presence of a transverse uniform magnetic field and Hall current using the Fourier sine transforms. The results are presented as a sum of steady-state and transient solutions. In the limiting case when α1 goes to zero, our solutions reduce to those for a Newtonian fluid. The obtained results are sketched for the variations of pertinent parameters and are analyzed through several graphs.
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