scholarly journals Transient MHD Couette Flow in a Rotating Environment Permeated by an Inclined Magnetic Field by Means of a Traveling Magnetic Field Subject to a Forced Oscillation

2018 ◽  
Vol 08 (09) ◽  
pp. 362-377
Author(s):  
Swapan Kumar Ghosh
Keyword(s):  
Magnetic Field ◽  
Couette Flow ◽  
Forced Oscillation ◽  
Inclined Magnetic Field ◽  
Mhd Couette Flow ◽  
Traveling Magnetic Field

Numerical study of unsteady MHD Couette flow and heat transfer of nanofluids in a rotating system with convective cooling

2016 ◽  
Vol 26 (5) ◽  
pp. 1567-1579 ◽  
Author(s):  
Ahmada Omar Ali ◽  
Oluwole Daniel Makinde ◽  
Yaw Nkansah-Gyekye
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Couette Flow ◽  
Numerical Study ◽  
Integration Scheme ◽  
Parallel Plates ◽  
Content Type ◽  
Flow And Heat Transfer ◽  
Mhd Couette Flow ◽  
Rotating Channel

Purpose – The purpose of this paper is to investigate numerically the unsteady MHD Couette flow and heat transfer of viscous, incompressible and electrically conducting nanofluids between two parallel plates in a rotating channel. Design/methodology/approach – The nanofluid is set in motion by the combined action of moving upper plate, Coriolis force and the constant pressure gradient. The channel rotates in unison about an axis normal to the plates. The nonlinear governing equations for velocity and heat transfer are obtained and solved numerically using semi-discretization, shooting and collocation (bvp4c) techniques together with Runge-Kutta Fehlberg integration scheme. Findings – Results show that both magnetic field and rotation rate demonstrate significant effect on velocity and heat transfer profiles in the system with Cu-water nanofluid demonstrating the highest velocity and heat transfer efficiency. These numerical results are in excellent agreements with the results obtained by other methods. Practical implications – This paper provides a very useful source of information for researchers on the subject of hydromagnetic nanofluid flow in rotating systems. Originality/value – Couette flow of nanofluid in the presence of applied magnetic field in a rotating channel is investigated.

scholarly journals Role of Sudden Application or Withdrawal of Magnetic Field on MHD Couette Flow

2019 ◽  
Vol 24 (4) ◽  
pp. 92-105
Author(s):  
B.K. Jha ◽  
M.O. Oni
Keyword(s):  
Magnetic Field ◽  
Steady State ◽  
Couette Flow ◽  
Steady State Solution ◽  
State Solution ◽  
Laplace Domain ◽  
Riemann Sum ◽  
Laplace Transform Technique ◽  
Mhd Couette Flow ◽  
The Impact

Abstract This article investigates the impact of a sudden application or sudden withdrawal of a magnetic field on an unsteady MHD Couette flow formation in a parallel plate channel. The governing momentum equation is derived and solved exactly in Laplace domain using the Laplace transform technique with the necessary initial and boundary conditions to capture the present physical situation for the cases; sudden application or sudden withdrawal of a magnetic field. Due to the complexity of the solution obtained, the Riemann-sum approximation technique is used to transform the Laplace domain to time domain. During the course of graphical and tabular representations, results show that the Hartmann number, time and nature of application of a magnetic field play an important role in the transition from hydrodynamic to magnetohydrodynamic flow and vice-versa. Also, fluid velocity steady-state solution is independent on whether the magnetic field is fixed relative to the moving plate or to the fluid for sudden withdrawal of magnetic field. In addition, the application of a sudden magnetic field leads to a delay in the attainment of steady-state solution.

Oscillatory Couette flow in the presence of an inclined magnetic field

Meccanica ◽  
2009 ◽  
Vol 44 (5) ◽  
pp. 555-564 ◽  
Author(s):  
M. Guria ◽  
S. Das ◽  
R. N. Jana ◽  
S. K. Ghosh
Keyword(s):  
Magnetic Field ◽  
Couette Flow ◽  
Inclined Magnetic Field

MHD Couette Flow in Cylindrical Porous Annulus with Perfectly Conducting Walls

2013 ◽  
Vol 284-287 ◽  
pp. 829-833
Author(s):  
Sian Wun Guo ◽  
Jik Chang Leong
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Analytical Solution ◽  
Couette Flow ◽  
Outer Cylinder ◽  
Variable Order ◽  
Radial Magnetic Field ◽  
Mhd Couette Flow ◽  
The Magnetic Field ◽  
Direction Opposite

This work obtained an analytical solution for a steady cylindrical MHD Couette flow in a porous medium between two perfectly conducting rotating cylinders under the influence of a non-uniform radial magnetic field. Since part of the analytical solution is expressed in terms of the integral of the Modified Bessel function of the first and second kinds of variable order, numerical integration was performed. Current results indicate that the flow may become more uniform when the strength of the external magnetic field is increased. The magnetic fluid tends to slow down if the permeability of the porous medium decreases. If the porous annulus is thick, the momentum of the flow is more difficult to propagate from the outer cylinder into the inner part of the annulus. If both the inner and outer cylinders rotate, the shear effect the inner cylinder imposes is only relatively influential in the region close to it. A decrease in Da no less than 10-2 may increase the amount of magnetic field induced. The transfer of momentum across the annular space is easier in a thin porous annulus than a thick one and hence induces a stronger magnetic field. If the inner cylinder rotates in the direction opposite of the outer one, the magnetic field in the clockwise direction will be induced in some region.

scholarly journals Flow and Heat Transfer of Two Immiscible Fluids in the Presence of Uniform Inclined Magnetic Field

2011 ◽  
Vol 2011 ◽  
pp. 1-18 ◽  
Author(s):  
Dragiša Nikodijević ◽  
Živojin Stamenković ◽  
Dragica Milenković ◽  
Bratislav Blagojević ◽  
Jelena Nikodijevic
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Immiscible Fluids ◽  
Inclined Magnetic Field ◽  
Closed Form Solutions ◽  
Electrically Conducting ◽  
Flow And Heat Transfer ◽  
Mhd Couette Flow ◽  
Loading Parameter ◽  
Field Inclination

The magnetohydrodynamic (MHD) Couette flow of two immiscible fluids in a horizontal channel with isothermal walls in the presence of an applied electric and inclined magnetic field has been investigated in the paper. Both fluids are electrically conducting, while the channel plates are electrically insulated. The general equations that describe the discussed problem under the adopted assumptions are reduced to ordinary differential equations, and closed-form solutions are obtained in both fluid regions of the channel. Separate solutions with appropriate boundary conditions for each fluid have been obtained, and these solutions have been matched at the interface using suitable matching conditions. The analytical results for various values of the Hartmann number, the angle of magnetic field inclination, loading parameter, and the ratio of fluid heights have been presented graphically to show their effect on the flow and heat transfer characteristics.

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