SERIES SOLUTION OF CILIA-INDUCED MHD FLOW IN A POROUS MEDIUM UNDER THE HALL CURRENT AND ION-SLIP EFFECT

2020 ◽  
Vol 23 (10) ◽  
pp. 943-954
Author(s):  
N. Manzoor ◽  
Khadija Maqbool ◽  
A. B. Mann ◽  
S. Shaheen
Keyword(s):  
Porous Medium ◽  
Series Solution ◽  
Hall Current ◽  
Mhd Flow ◽  
Slip Effect ◽  
Ion Slip

scholarly journals Numerical Study of MHD Flow and Heat Transfer Through Porous Medium Between Two Parallel Plates With Hall and Ion Slip Effects

2020 ◽  
Vol 7 ◽  
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Numerical Study ◽  
Mhd Flow ◽  
Parallel Plates ◽  
Electrically Conducting ◽  
Flow And Heat Transfer ◽  
Slip Effects ◽  
Ion Slip ◽  
Temperature And Pressure

This paper studies the effects of Hall and ion slip on two dimensional incompressible flow and heat transfer of an electrically conducting viscous fluid in a porous medium between two parallel plates, generated due to periodic suction and injection at the plates. The flow field, temperature and pressure are assumed to be periodic functions in ti e ω and the plates are kept at different but constant temperatures. A numerical solution for the governing nonlinear ordinary differential equations is obtained using quasilinearization method. The graphs for velocity, temperature distribution and skin friction are presented for different values of the fluid and geometric parameters.

scholarly journals Hall Current and Thermal Radiation Effects on Heat and Mass Transfer of Unsteady MHD Flow of a Viscoelastic Micropolar Fluid through a Porous Medium

2020 ◽  
Vol 68 (1) ◽  
pp. 1-10
Author(s):  
Lavanya
Keyword(s):  
Mass Transfer ◽  
Porous Medium ◽  
Thermal Radiation ◽  
Micropolar Fluid ◽  
Radiation Effects ◽  
Hall Current ◽  
Perturbation Technique ◽  
Mhd Flow ◽  
Skin Friction Coefficient ◽  
Governing Equations

The present paper is concerned to analyze the effect of hall current on heat and thermal radiation and mass transfer of unsteady MHD flow of a viscoelastic micropolar fluid through a porous medium with chemical reaction. The governing partial differential equations are transformed to dimensionless equations using dimensionless variables. The dimensionless governing equations are then solved analytically using perturbation technique. The effects of various governing parameters on the velocity, temperature, concentration, skin-friction coefficient, Nusselt number and Sherwood number are shown in figures and tables and analyzed in detail.

scholarly journals MHD Flow with Hall Current and Ion-Slip Effects due to a Stretching Porous Disk

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Faiza M. N. El-Fayez
Keyword(s):  
Magnetic Field ◽  
Hall Current ◽  
Mhd Flow ◽  
Disk Surface ◽  
Surface Shear Stress ◽  
Surface Shear ◽  
Limiting Behavior ◽  
Slip Effects ◽  
Ion Slip ◽  
Flow Variables

A partially ionized fluid is driven by a stretching disk, in the presence of a magnetic field that is strong enough to produce significant hall current and ion-slip effects. The limiting behavior of the flow is studied, as the magnetic field strength grows indefinitely. The flow variables are properly scaled, and uniformly valid asymptotic expansions of the velocity components are obtained. The leading order approximations show sinusoidal behavior that is decaying exponentially, as we move away from the disk surface. The two-term expansions of the radial and azimuthal surface shear stress components, as well as the far field inflow speed, compare well with the corresponding finite difference solutions, even at moderate magnetic fields. The effect of mass transfer (suction or injection) through the disk is also considered.

Effects of Hall Current and Ion-Slip on MHD Flow Induced by Torsional Oscillations of a Disc in a Rotating Fluid

2013 ◽  
Vol 29 (2) ◽  
pp. 337-344 ◽  
Author(s):  
N. Ghara ◽  
S. Das ◽  
S. L. Maji ◽  
R. N. Jana
Keyword(s):  
Hall Current ◽  
Mhd Flow ◽  
Azimuthal Velocity ◽  
Shear Stresses ◽  
Slip Parameter ◽  
Rotating Disc ◽  
Torsional Oscillations ◽  
Increase With Increase ◽  
Hall Parameter ◽  
Ion Slip

AbstractThe unsteady hydromagnetic flow due to torsional oscillations of a rotating disc in a viscous incompressible electrically conducting fluid which is also rotating is studied taking the effects of the Hall current and ion-slip into consideration. The governing equations are solved analytically. The results show that the inclusion of the Hall current and ion slip have important effects on the velocity distributions as well as shear stresses at the disc. The flow is characterized by two opposite circularly polarized waves, travelling with different velocities. It is found that there is a formation of two-deck boundary layers, thicknesses of which increase with increase in either Hall parameter or ion-slip parameter. The radial velocity increases with an increase in Hall parameter and the azimuthal velocity increases with an increase in either Hall parameter or ion-slip parameter. Further, it is found that the amplitude of the transverse shear stress at the disc decreases with an increase in either Hall parameter or ion-slip parameter.

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