Flow of a Second-Grade Fluid between Eccentric Rotating Porous Disks in the Presence of a Magnetic Field

Abstract

This paper is concerned with the steady flow of a second-grade fluid between two porous disks rotating eccentrically under the effect of a magnetic field. A perturbation solution for the velocity field is presented under the assumption that the second-grade fluid parameter β is small. It is also studied the effect of all the parameters on the horizontal force per unit area exerted by the fluid on the disks. It is found that the xand y-components of the force increase and decrease, respectively, when the second-grade fluid parameter β and the Hartmann number M increase. It is seen that the forces in the xand y-directions on the top disk increase with the increase of the suction/injection velocity parameter P but those on the bottom disk decrease. It is shown that the force acting on the top disk is greater than that acting on the bottom disk in view of the axial velocity in the positive z-direction. It is observed that the increase in the Reynolds number R leads to a rise in the horizontal force.

Experimental Study on Vortex Growth during the Early Development of Rotating Disks

“…If there is a large gap between both disks, the flow has a separating boundary layer, and this case was studied by Batchelor [2]. Other studies investigated the flow around the eccentric rotating porous disks [3] or the nonli-near vortex structures in obliquely rotating fluid [4].…”

Mechanical aspects of Maxwell nanofluid in dynamic system with irreversible analysis

“…Sohail et al [49] reported the heat and mass transfer flow of couple stress fluid past a nonlinear stretching surface for variable properties of magnetic field, thermal conductivity and diffusion coefficient by deriving conducting mass and chemical reaction through Fick's second law. Ersoy [50] focused on the steady flow of a second-grade fluid between two porous eccentrically rotating disks in the presence of magnetic field. He adopted the perturbation solution for the flow under the assumption of small second-grade fluid parameter and revealed that the rising values of Reynolds number provide a surge in the horizontal force.…”