Hydromagnetic Fluctuating Flow of a Viscoelastic Fluid in a Porous Channel

Abstract

An exact periodic solution for the time dependent flow of a viscoelastic fluid in the presence of transverse magnetic field is derived. It is assumed that on one plate the fluid is injected with certain velocity and that it is sucked off at the other plate with the same velocity. Both plates are oscillating with a known velocity in their own plane. A perturbation method has been employed by treating the viscoelastic parameter to be small. Effects of viscoelastic parameter, cross-flow Reynolds number, frequency parameter, and Hartmann number on the velocity as well as wall shear stress of the flow are discussed here with graphs.

Oscillatory Fluid Flow and Heat Transfer Through Porous Medium Between Parallel Plates with Inclined Magnetic Field, Radiative Heat Flux and Heat Source

“…Ganesh and Krishnambal [8] discussed a magnetohydrodynamic flow of a viscous fluid between two parallel porous plates. Ghosh [9] presented a hydromagnetic fluctuating flow of a viscoelastic fluid in a porous channel. Sharma and Singh [10] investigated effects of variable thermal conductivity and heat source/sink on MHD flow near a stagnation point on a linearly stretching sheet.…”

Magnetohydrodynamic oscillatory flow of a physiological fluid in an irregular channel

“…Abdalla and Abo Dahab [25] explored the rotating and non-Newtonian fluid effects in an asymmetric channel with peristaltic transport. Many researchers [26][27][28][29] considered the different mathematical models to study the impact of viscoelastic fluid flow through porous channels. Now a days chemical reactions play a significant role in many science and engineering applications at different stages such as; chemical engineering processes, moisture over agricultural fields, energy transfer in a cooling tower power, cooling industry for drying, and the flow in desert cooler etc.,.…”

Thermal Radiation and Chemical Reaction Effects on Unsteady Laminar Hydro Magnetic Free Convective Flow of Oldroyd Fluid Through Porous Medium Along a Moving Vertical Plate with Thermal Diffusion

“…Grosan and Pop [5], Joshi and Kumar [6] and Srinivas and Muthuraj [18] have made investigations of fluid flow with thermal radiation. Ghosh [4] investigated the hydrodynamic fluctuating flow of a viscoelastic fluid in a porous channel, where the channels oscillate with a given velocity in their own planes. Shateyiet al [14] investigated the effects of thermal Radiation, Hall currents, Soret and Dufour on MHD flow by mixed convection over vertical surface in porous medium.…”