Magnetohydrodynamic Braking

1995 ◽  
Vol 117 (4) ◽  
pp. 724-728 ◽  
Author(s):  
Rama Subba Reddy Gorla ◽  
K. Ramalingam ◽  
I. Adluri
Keyword(s):  
Magnetic Field ◽  
Constant Velocity ◽  
Bottom Plate ◽  
Constant Force ◽  
Parallel Plates ◽  
Electrically Conductive ◽  
Conductive Fluid

A viscous and electrically conductive fluid separates two parallel plates. A magnetic field of intensity B0 is applied perpendicular to the plates. The top plate squeezes downward whereas the bottom plate moves laterally in its own plane. The nonsimilar problem is solved for the conditions of the top plate moving with constant velocity or constant force, while the bottom plate moves with a constant velocity. The effect of magnetic field on the braking action is discussed.

scholarly journals Weakly Nonlinear Magnetic Convection in a Nonuniformly Rotating Electrically Conductive Medium Under the Action of Modulation of External Fields

2020 ◽  
Keyword(s):  
Magnetic Field ◽  
Angular Velocity ◽  
Landau Equation ◽  
Temperature Modulation ◽  
External Fields ◽  
Ginzburg Landau ◽  
Electrically Conductive ◽  
Weakly Nonlinear ◽  
Conductive Fluid ◽  
Ginzburg Landau Equations

In this paper we studied the weakly nonlinear stage of stationary convective instability in a nonuniformly rotating layer of an electrically conductive fluid in an axial uniform magnetic field under the influence of: a) temperature modulation of the layer boundaries; b) gravitational modulation; c) modulation of the magnetic field; d) modulation of the angular velocity of rotation. As a result of applying the method of perturbation theory for the small parameter of supercriticality of the stationary Rayleigh number nonlinear non-autonomous Ginzburg-Landau equations for the above types of modulation were obtaned. By utilizing the solution of the Ginzburg-Landau equation, we determined the dynamics of unsteady heat transfer for various types of modulation of external fields and for different profiles of the angular velocity of the rotation of electrically conductive fluid.

scholarly journals Unsteady Motion of Viscous Electrically Conductive Fluid Rotating in Half-Space Bounded by a Wall in the Presence of Medium Injection (Suction)

2020 ◽  
pp. 107-118
Author(s):  
A.A. Gurchenkov
Keyword(s):  
Magnetic Field ◽  
Wall Motion ◽  
Porous Plate ◽  
Fluid Pressure ◽  
Porous Wall ◽  
Unsteady Motion ◽  
Induced Magnetic Field ◽  
Electrically Conductive ◽  
Conductive Fluid ◽  
Longitudinal Wall

The study is devoted to studying motion of a viscous electrically conductive incompressible fluid, which initially rotates as a solid body with constant angular velocity together with a porous wall bounding it under the influence of suddenly appearing longitudinal oscillations of the wall. The wall forms an arbitrary angle with the axis of rotation. Unsteady flow is induced by longitudinal wall oscillations, injection (suction) of the medium directed perpendicular to the porous plate surface and by suddenly activated constant magnetic field directed on the normal to the plate. Solutions were constructed for velocity fields and fluid pressure. Induced magnetic field in the flow of electrically conductive fluid was determined. A number of particular cases of the wall motion were considered. Based on the results obtained, separate structures of the boundary layers adjacent to the wall were examined.

scholarly journals MHD couette flow with heat transfer between two horizontal plates in the presence of a uniform transverse magnetic field

2003 ◽  
pp. 1-9
Author(s):  
G. Bodosa ◽  
A.K. Borkakati
Keyword(s):  
Magnetic Field ◽  
Transverse Magnetic Field ◽  
Constant Velocity ◽  
Transverse Magnetic ◽  
Parallel Plates ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid ◽  
Fluid Velocities ◽  
Two Dimensional Flow ◽  
Mhd Couette Flow

The problem of an unsteady two-dimensional flow of a viscous incompressible and electrically conducting fluid between two parallel plates in the presence of a uniform transverse magnetic field has been analyzed, when in case-I the plates are at different tem?peratures and in case-II the upper plate is considered to move with constant velocity where as the lower plate is adiabatic. Fluid velocities and temperatures are obtained and plotted graphically.

scholarly journals Patterns of Magnetohydrodynamic Flow in the Bent Channel

2020 ◽  
pp. 774-780
Author(s):  
Alexander V. Proskurin ◽  
Anatoly M. Sagalakov
Keyword(s):  
Magnetic Field ◽  
Spectral Element Method ◽  
Reverse Flow ◽  
Reynolds Numbers ◽  
Spectral Element ◽  
Flow Patterns ◽  
Magnetohydrodynamic Equations ◽  
Electrically Conductive ◽  
Conductive Fluid ◽  
The Magnetic Field

The article considers the flow patterns of an electrically-conductive fluid in a 90 degree bend. The magnetic field is directed parallel to the outlet branch of the bend. Magnetohydrodynamic equations in terms of the small magnetic Reynolds numbers approach and the spectral-element method were used. The flow patterns were studied at different values of the Reynolds and the Hartmann numbers, and with regard to different values of the bent radus. A reverse flow was found in the outlet branch of the channel

Magnetohydrodynamic Squeeze Film Characteristics Between Parallel Circular Plates Containing a Single Central Air Bubble in the Inertial Flow Regime

1999 ◽  
Vol 66 (4) ◽  
pp. 1021-1023 ◽  
Author(s):  
R. Usha ◽  
P. Vimala
Keyword(s):  
Magnetic Field ◽  
Differential Equation ◽  
Nonlinear Differential Equation ◽  
Bubble Radius ◽  
Fluid Film ◽  
Squeeze Film ◽  
Parallel Plates ◽  
Circular Plates ◽  
Air Bubble ◽  
Approximate Analytical Solutions

In this paper, the magnetic effects on the Newtonian squeeze film between two circular parallel plates, containing a single central air bubble of cylindrical shape are theoretically investigated. A uniform magnetic field is applied perpendicular to the circular plates, which are in sinusoidal relative motion, and fluid film inertia effects are included in the analysis. Assuming an ideal gas under isothermal condition for an air bubble, a nonlinear differential equation for the bubble radius is obtained by approximating the momentum equation governing the magnetohydrodynamic squeeze film by the mean value averaged across the film thickness. Approximate analytical solutions for the air bubble radius, pressure distribution, and squeeze film force are determined by a perturbation method for small amplitude of sinusoidal motion and are compared with the numerical solution obtained by solving the nonlinear differential equation. The combined effects of air bubble, fluid film inertia, and magnetic field on the squeeze film force are analyzed.

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.

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