Magnetohydrodynamic Flow Past a Finite Flat Plate in the Presence of a Nonaligned Magnetic Field

1974 ◽  
Vol 52 (12) ◽  
pp. 1104-1106 ◽  
Author(s):  
W. D. Lakin
Keyword(s):  
Magnetic Field ◽  
Flat Plate ◽  
Related Problem ◽  
Uniform Magnetic Field ◽  
Hartmann Number ◽  
Mhd Flow ◽  
Order Partial Differential Equation ◽  
Perturbation Problem ◽  
Flow Past ◽  
Streaming Motion

We consider the steady flow past a finite flat plate due to a uniform stream in the presence of a uniform magnetic field which is not aligned with the streaming motion at infinity. The Hartmann number is assumed large and positive. This leads to a singular perturbation problem involving a second-order partial differential equation. As a result, solutions of the governing equation must be obtained in three separate regions and then matched asymptotically. A related problem involving magnetohydrodynamic (MHD) flow across a finite needle is also discussed.

MHD flow in a rectangular duct with pairs of conducting and non-conducting walls in the presence of a non-uniform magnetic field

1980 ◽  
Vol 96 (2) ◽  
pp. 335-353 ◽  
Author(s):  
Richard J. Holroyd
Keyword(s):  
Magnetic Field ◽  
Experimental Study ◽  
Reynolds Number ◽  
Uniform Magnetic Field ◽  
Hartmann Number ◽  
Mhd Flow ◽  
Magnetic Reynolds Number ◽  
Rectangular Duct ◽  
Mean Velocity ◽  
Side Walls

A theoretical and experimental study has been carried out on the flow of a liquid metal along a straight rectangular duct, whose pairs of opposite walls are highly conducting and insulating, situated in a planar non-uniform magnetic field parallel to the conducting walls. Magnitudes of the flux density and mean velocity are taken to be such that the Hartmann numberMand interaction parameterNhave very large values and the magnetic Reynolds number is extremely small.The theory qualitatively predicts the integral features of the flow, namely the distributions along the duct of the potential difference between the conducting walls and the pressure. The experimental results indicate that the velocity profile is severely distorted by regions of non-uniform magnetic field with fluid moving towards the conducting walls; even though these walls are very good conductors the flow behaves more like that in a non-conducting duct than that predicted for a duct with perfectly conducting side walls.

MHD natural convection of Cu/H2O nanofluid in a horizontal semi-cylinder with a local triangular heater

2018 ◽  
Vol 28 (12) ◽  
pp. 2979-2996 ◽  
Author(s):  
A.S. Dogonchi ◽  
Mikhail A. Sheremet ◽  
Ioan Pop ◽  
D.D. Ganji
Keyword(s):  
Magnetic Field ◽  
Rayleigh Number ◽  
Free Convection ◽  
Shape Factor ◽  
Uniform Magnetic Field ◽  
Hartmann Number ◽  
Volume Fraction ◽  
Horizontal Cylinder ◽  
Content Type ◽  
Nanoparticles Volume Fraction

Purpose The purpose of this study is to investigate free convection of copper-water nanofluid in an upper half of circular horizontal cylinder with a local triangular heater under the effects of uniform magnetic field and cold cylinder shell using control volume finite element method (CVFEM). Design/methodology/approach Governing equations formulated in dimensionless stream function, vorticity and temperature variables using the single-phase nanofluid model with Brinkman correlation for the effective dynamic viscosity and Hamilton and Crosser model for the effective thermal conductivity have been solved numerically by CVFEM. Findings The impacts of control parameters such as the Rayleigh number, Hartmann number, nanoparticles volume fraction, local triangular heater size, shape factor on streamlines and isotherms as well as local and average Nusselt numbers have been examined. The outcomes indicate that the average Nusselt number is an increasing function of the Rayleigh number, shape factor and nanoparticles volume fraction, while it is a decreasing function of the Hartmann number. Originality/value A complete study of the free convection of copper-water nanofluid in an upper half of circular horizontal cylinder with a local triangular heater under the effects of uniform magnetic field and cold cylinder shell using CVFEM is addressed.

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 Modelling the Effect of Hartmann Number on Transient Period, Viscous Dissipation and Joule Heating in a Transient MHD Flow over a Flat Plate Moving at a Constant Velocity

2019 ◽  
pp. 1-10
Author(s):  
B. M. Nyamai
Keyword(s):  
Steady State ◽  
Flat Plate ◽  
Viscous Dissipation ◽  
Joule Heating ◽  
Constant Velocity ◽  
Hartmann Number ◽  
Mhd Flow ◽  
Viscous Heating ◽  
Laplace Transform Technique ◽  
Transient Period

This study is designed to investigate the effect of Hartmann number on transient period, Joule heating and viscous dissipation in an incompressible MHD (Magneto-Hydrodynamics) flow over a flat plate moving at a constant velocity. The governing momentum equation is non-dimensionalized and solved by the Laplace transform technique. The solution is decomposed into transient part and steady state part and then the effect of Hartmann number on transient period concerning velocity and its two related quantities (Joule heating and viscous dissipation) is analyzed. It was found out that when Hartmann number is increased the transient period is shortened and it was the same for the three quantities. In addition, the steady state solutions for both Joule heating and viscous heating were found to be equal. Even though velocity decreases when the Hartmann number is increased, the opposite was discovered for both Joule heating and viscous heating. Graphical analysis indicated that transient period changes considerably if Hartmann number is between 0 and 2. This study will find use in those industrial areas where magnetic fields are used to control liquid / molten metals in open channels.

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