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1 International Journal of Applied Mechanics and Engineering

1 2011

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Unsteady Hartmann flow in a rotating channel with perfectly conducting walls

Seth G. S., Ansari Md. S., Nandkeolyar R.

International Journal of Applied Mechanics and Engineering

2011

Vol. 16, no 4

1129-1146

An unsteady Hartmann flow of a viscous incompressible electrically conducting fluid in a rotating channel with perfectly conducting walls under the action of a periodic pressure gradient is studied. An exact solution of the governing equations for the fully developed flow is obtained in a closed form. The expression for the shear stress at the upper plate is also derived. The solutions valid for vanishing and small finite magnetic Prandtl number are derived from the general solution. The asymptotic behavior of these solutions is analyzed, for large values of the frequency parameter […], to gain some physical insight into the flow pattern. It is found that a magnetic field tends to retard the fluid flow in both the primary and secondary flow directions whereas oscillations and rotation tend to accelerate it in both the directions. The magnetic field reduces primary and secondary induced magnetic fields whereas oscillations and rotation have reverse effect on it. The magnetic field reduces the primary as well as secondary shear stress at the upper plate […] whereas oscillations and rotation tend to increase it.