2015
DOI: 10.1007/s40819-015-0065-3
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On Hydromagnetic Flow of an Oldroyd-B Fluid Between Two Oscillating Plates

Abstract: An initial value investigation is made of the motion of an incompressible, viscoelastic, electrically conducting Oldroyd-B fluid bounded by two infinite rigid nonconducting plates. The flow is generated impulsively from rest in the fluid due to rectilinear oscillations of given frequencies superimposed on the plates in their own planes in presence of an external magnetic field acting transversely to the plates. The operational method is used to derive exact solutions for the fluid velocity and the shear stress… Show more

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Cited by 5 publications
(1 citation statement)
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“…The influence of a magnetic field on the Couette flow of a viscous fluid was previously investigated by Tao [12] and Katagiri [13]. Exact solutions for MHD motions of electrical conductive incompressible Oldroyd_B fluids (ECIOBs) in rectangular domains have been obtained, for instance, by Zahid et al [14] and Ghosh et al [15]. On the other hand, the dynamics of a fluids' motion through a porous medium has multiple applications in geophysics, astrophysics, the petroleum industry, oil reservoir technology, composite manufacturing processes, and agricultural engineering.…”
Section: Introductionmentioning
confidence: 99%
“…The influence of a magnetic field on the Couette flow of a viscous fluid was previously investigated by Tao [12] and Katagiri [13]. Exact solutions for MHD motions of electrical conductive incompressible Oldroyd_B fluids (ECIOBs) in rectangular domains have been obtained, for instance, by Zahid et al [14] and Ghosh et al [15]. On the other hand, the dynamics of a fluids' motion through a porous medium has multiple applications in geophysics, astrophysics, the petroleum industry, oil reservoir technology, composite manufacturing processes, and agricultural engineering.…”
Section: Introductionmentioning
confidence: 99%