MHD forced flow of a conducting viscous fluid through a porous medium induced by an imprevious rotating disk (original) (raw)
Related papers
International Journal of Dynamical Systems and Differential Equations, 2015
This research is concerned with the forced flow of an electrically conducting viscous incompressible fluid in heterogeneous porous medium due to the rotation of disk. Whole analysis is carried out in the presence of normal magnetic field. It is assumed that the flow in the porous medium is governed by the Brinkman equation. Invoking suitable transformations, the flow governing partial differential equations are non-dimensionalised and are solved using the perturbation method. At the interface (porous-porous medium), a modified set of matching condition suggested by Ochoa-Tapia and Whitaker is applied. Analytical expressions for the velocities, moment at the disk and shearing stress are computed and the effects of various parameters upon them are examined.
Effects of MHD Laminar Flow Between a Fixed Impermeable Disk and a Porous Rotating Disk
2014
We formulate a mathematical model that governs operations of many engineering systems particularly the Ceiling fan to explain the fluid flow between the fixed impermeable and the porous rotating disks in the presence of a transverse magnetic field. The model is based on the continuity and the Navier-stokes equations which are reduced into set of coupled ordinary differential equations through transformation by similarity variables. The coupled ordinary differential equations are solved using perturbation techniques. The results for the velocity profiles and the fluid pressure distribution are displayed graphically showing the effects of various parameters. The graphical results of the shear stress are presented and discussed.
IJERT-Effects of MHD Laminar Flow Between a Fixed Impermeable Disk and a Porous Rotating Disk
International Journal of Engineering Research and Technology (IJERT), 2014
https://www.ijert.org/effects-of-mhd-laminar-flow-between-a-fixed-impermeable-disk-and-a-porous-rotating-disk https://www.ijert.org/research/effects-of-mhd-laminar-flow-between-a-fixed-impermeable-disk-and-a-porous-rotating-disk-IJERTV3IS080615.pdf We formulate a mathematical model that governs operations of many engineering systems particularly the Ceiling fan to explain the fluid flow between the fixed impermeable and the porous rotating disks in the presence of a transverse magnetic field. The model is based on the continuity and the Navier-stokes equations which are reduced into set of coupled ordinary differential equations through transformation by similarity variables. The coupled ordinary differential equations are solved using perturbation techniques. The results for the velocity profiles and the fluid pressure distribution are displayed graphically showing the effects of various parameters. The graphical results of the shear stress are presented and discussed.
MHD flow in porous medium induced by torsionally oscillating disk
Computers & Fluids, 2010
The unsteady laminar flow of an incompressible, viscous, electrically conducting fluid in porous medium fully saturated with the liquid and bounded by torsionally oscillating disk in the presence of a transverse magnetic field has been computed. It is assumed that the flow between the disk and the porous medium is governed by Navier-Stokes equation and that in the porous medium by Brinkman equation. Flows in the two regions are matched at the interface by assuming that the velocity and stress components are continuous at it. Approximate solutions of the flow characteristics are obtained. Numerical results are presented graphically and discussed.
The steady flow of a viscous, incompressible, electrically conducting fluid past an infinite porous flat plate embedded in a porous medium in a rotating system has been considered in the presence of magnetic field. An exact solution has been obtained for the flow in terms of existing flow parameters viz. rotation parameter, suction parameter, magnetic parameter and permeability parameter. Furthermore, influences of existing parameters have been investigated and analyzed on the flow of velocity field of the conducting fluid.
1979
The magnetohydrodynamic flow of an electrically conducting viscous fluid between a rotating and a stationary disc has been studied numerically by the Newton-Raphson method and the method of continuation. The results have been calculated for a wide range of parameters involved, thus indicating the efficiency of the methods. The induced electric field has also been calculated for various values of suction Reynolds number.
The problem of magnetohydrodynamics (MHD) flow of a conducting, incompressible fluid due to non-coaxial rotations of a porous disk, executing oscillations in its own plane, and a fluid at infinity is considered in the presence of a uniform transverse magnetic field. The porous character of disk and the non-linearity of the fluid increase the order of the differential equation. The solutions for the cases, when the angular velocity is greater, smaller or equal to the frequency of oscillation are examined. The structure of the velocity distributions and the associated boundary layers are investigated including the case of blowing and resonant oscillations. It is found that unlike the hydrodynamic situation for the case of blowing and resonance, the hydromagnetic steady state solution satisfies the boundary condition at infinity. The inherent difficulty involved in the purely hydrodynamic problem associated with the case of blowing and the resonant frequency has been resolved in this paper by the addition of the magnetic field.
The steady non-darcian flow of an incompressible viscous fluid above an infinite rotating disk in a porous medium is studied. The Forchheimer extension (non-Darcy term) is considered in the flow equations. The governing set of non-linear partial differential equations was non-dimensional zed and reduced to a set of ordinary differential equations for which Finite-Difference numerical technique is implemented. Numerical results for the details of the velocity components profiles were presented in graphs. The effects of the porosity of the medium and the inertial effects on the velocity and both the radial and tangential wall shear stresses are considered.