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International Journal of Fluid Mechanics Research

ISSN for PRINT: 1064-2277

Institutional price:	$1811.00
Issues per year:	6

Best Paper Award Selection - Editorial Board Site

2007, Volume34

107 pages

DOI: 10.1615/InterJFluidMechRes.v34.i6

Issue price - $335.00

Hydromagnetic Flow Due to Eccentrically Rotating Porous Disk and a Fluid at Infinity

M. Guria
Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore - 721102, West Bengal, India

B. K. Das
Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore - 721102, West Bengal, India

R. N. Jana
Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore - 721102, West Bengal, India

ABSTRACT

Hydromagnetic flow due to non-coaxial rotations of a porous disk and a fluid at infinity rotating about an axis passes through a fixed point in the presence of a uniform magnetic field is considered. An exact solution of the Navier-Stokes equations obtained for the velocity and temperature field when there is a uniform suction/blowing at the disk. It is seen that the main velocity component f/Ωy₁ increases with increase in either magnetic parameter M² or suction parameter S. On the other hand, the cross velocity component g/Ωy₁ decreases with increase in either magnetic parameter or suction parameter. The flow has a boundary layer structure even in the presence of a blowing at the disk. It is observed that f/Ωy₁ decreases while g/Ωy₁ increases with increase in blowing parameter S₁. This implies that blowing at the disk causes reduction in the cross velocity of the flow. The expressions of the force and the torque exerted by the fluid on the porous disk is also obtained and discussed for several values of suction/blowing parameter and magnetic parameter. It is seen that no torque is exerted by the fluid on the disk. It is found that temperature profile θ decreases with increase in suction parameter whereas it increases with increase in magnetic parameter.