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.

MoS2-SiO2/EG hybrid nanofluid transport in a rotating channel under the influence of a strong magnetic dipole (Hall effect)

2020 ◽  
Vol 16 (6) ◽  
pp. 1595-1616
Author(s):  
N. Mahato ◽  
S.M. Banerjee ◽  
R.N. Jana ◽  
S. Das
Keyword(s):  
Heat Transfer ◽  
Ethylene Glycol ◽  
Shape Factor ◽  
Hall Current ◽  
Hybrid Nanofluid ◽  
Shear Stresses ◽  
Content Type ◽  
Nanoparticle Shape ◽  
Hall Parameter ◽  
Rotating Channel

PurposeThe article focuses on the magnetohydrodynamic (MHD) convective flow of MoS2-SiO2 /ethylene glycol (EG) hybrid nanofluid. The effectiveness of Hall current, periodically heating wall and shape factor of nanoparticles on the magnetized flow of hybrid nanocomposite molybdenum disulfide- silicon dioxide (MoS2-SiO2) suspended in ethylene glycol (EG) in a vertical rotating channel under the influence of strong magnetic dipole (Hall effect) and thermal radiation is assessed. One of the channel walls has an oscillatory temperature gradient. Four different shapes (i.e. brick, cylinder, platelet and blade) of nanoparticles disseminated in base fluid (EG) are considered for simulation of the flow.Design/methodology/approachThe analytical solution of governing equations has been presented. Influences of emerging physical parameters on the velocity and temperature profiles, the shear stresses and the rate of heat transfer are pointed out and discussed via graphs and tables.FindingsThe analysis revealed that Hall parameter has suppressing behavior on the velocity profiles within the rotating channel. The impact of nanoparticle shape factor advances the temperature characteristics significantly in the rotating channel. Brick-shape nanoparticles put up relatively low-temperature distribution in the rotating channel. The Hall parameter reduces the amplitudes of the shear stresses at the channel wall. However, the radiation parameter enhances the amplitude of the rate of heat transfer at the channel wall.Social implicationsThe important technical advantage of hybrid composition of nanoparticles as a drug carrier is its stability, high thermal conductivity, high load carrying capacity, etc. The proposed model may be beneficial in biomedical engineering, automobile parts, mineral and cleaning oils manufacturing, rubber and plastic industries.Originality/valueTo the best of our knowledge, there is little or no report on the aspects of assessment of the effectiveness of Hall current and nanoparticle shape factor on an MHD flow and heat transfer of an electrically conducting MoS2-SiO2/EG ethylene glycol-based hybrid nanofluid confined in a vertical channel with periodically varying wall temperature subject to a rotating frame. The present work furnishes a robust benchmark for the dynamics of nanofluids.

scholarly journals Hall effects on MHD flow past an accelerated plate

2008 ◽  
Vol 35 (4) ◽  
pp. 333-346 ◽  
Author(s):  
R.K. Deka
Keyword(s):  
Hartmann Number ◽  
Hall Current ◽  
Transverse Velocity ◽  
Mhd Flow ◽  
Transverse Motion ◽  
Rotating Fluid ◽  
Flow Past ◽  
Hall Effects ◽  
Hall Parameter ◽  
Effects Of Rotation

The simultaneous effects of rotation and Hall current on the hydromagnetic flow past an accelerated horizontal plate relative to a rotating fluid is presented. It is found that for given values of m (Hall parameter), M (Hartmann number) and an imposed rotation parameter ? satisfying ? = M 2m/(1 + m2), the transverse motion (transverse to the main flow) disappears and the fluid moves in the direction of the plate only. The effects of the parameters m, M and ? on the axial and transverse velocity profiles are shown graphically, whereas the effects of the parameters on the skin-friction components are shown by tabular values.

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 non-uniformities on electrical conduction in weakly ionized plasmas

1989 ◽  
Vol 42 (1) ◽  
pp. 177-185
Author(s):  
M. Numano ◽  
Y. Murakami ◽  
T. Nitta
Keyword(s):  
Hall Current ◽  
Ohm’S Law ◽  
Ionized Plasmas ◽  
Hall Parameter ◽  
Weakly Ionized ◽  
Ion Slip ◽  
Ohm's Law ◽  
Special Case ◽  
Uniform Plasma ◽  
Good Agreement

The effect of non-uniformities on the flow of electric current in weakly ionized plasmas is investigated by taking into account the ion slip as well as the Hall current. An Ohm's law for a non-uniform plasma is derived, from which the formula previously obtained by Numano, i.e. an extension of Rosa's equation, is obtainable as a special case. Making use of this new Ohm's law, the effective electrical conductivity and the effective Hall parameter are determined for isotropically turbulent plasmas. It is found that when the ion-slip effect is absent they are in good agreement with the results obtained previously.

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 Combined effect of free and forced convection on MHD flow in a rotating porous channel

1982 ◽  
Vol 5 (1) ◽  
pp. 165-182 ◽  
Author(s):  
D. R. V. Prasada Rao ◽  
D. V. Krishna ◽  
Lokenath Debnath
Keyword(s):  
Magnetic Field ◽  
Forced Convection ◽  
Fluid Flows ◽  
Mhd Flow ◽  
Combined Effect ◽  
Porous Channel ◽  
Shear Stresses ◽  
Mass Rate ◽  
Flow Parameters ◽  
Free And Forced Convection

This paper gives a steady linear theory of the combined effect of the free and forced convection in rotating hydromagnetic viscous fluid flows in a porous channel under the action of a uniform magnetic field. The flow is governed by the Grashof numberG, the Hartmann numberH, the Ekman numberE, and the suction Reynolds numberS. The solutions for the velocity field, temperature distribution, magnetic field, mass rate of flow and the shear stresses on the channel boundaries are obtained using a perturbation method with the small parameterS. The nature of the associated boundary layers is investigated for various values of the governing flow parameters. The velocity, the temperature, and the shear stresses are discussed numerically by drawing profiles with reference to the variations in the flow parameters.

scholarly journals Entropy Generation of MHD Poiseuille Flow with Hall and Joule Heating Effects

2020 ◽  
Vol 14 ◽  
Keyword(s):  
Entropy Generation ◽  
Joule Heating ◽  
Poiseuille Flow ◽  
Hall Current ◽  
Coupled System ◽  
Bejan Number ◽  
Electrically Conducting ◽  
Heating Effects ◽  
Adomian Decomposition ◽  
Ion Slip

In this article investigation has been conducted on the effects of Hall parameter, rotation parameter and Joule heating on the entropy generation of fully developed electrically conducting Poiseuille flow. The coupled system of ordinary differential equations for the flow are obtained, non-dimensionalised and solutions are constructed by Adomian decomposition technique. The effects of Hall current, Ion-slip, Joule heating and magnetic parameters on the velocity, temperature, entropy generation and Bejan number are explained and shown graphically. The results indicate that fluid entropy generation is induced by increase in Hall current, rotation and Joule heating parameters. Furthermore Bejan number is accelerated by Hall current, rotation, Magnetic and Joule heating parameters which signifies that heat transfer irreversibility dominates entropy generation.

scholarly journals Hall Current And Dufour Effects On Mhd Flow Of A Micropolar Fluid Past A Vertical Plate In The Presence Of Radiation Absorption And Chemical Reaction

2014 ◽  
Vol 10 (4) ◽  
pp. 106-121 ◽  
Author(s):  
K. Surya Narayana Reddy ◽  
◽  
M. Sreedhar Babu ◽  
S. Vijaya Kumar Varma ◽  
N. Bhaskar Reddy
Keyword(s):  
Chemical Reaction ◽  
Micropolar Fluid ◽  
Vertical Plate ◽  
Hall Current ◽  
Mhd Flow ◽  
Radiation Absorption

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.

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