Full magnetohydrodynamic flow past a circular cylinder considering the penetration of magnetic field

2018 ◽  
Vol 30 (8) ◽  
pp. 087102 ◽  
Author(s):  
Samit Ghosh ◽  
Subharthi Sarkar ◽  
R. Sivakumar ◽  
T. V. S. Sekhar
Keyword(s):  
Magnetic Field ◽  
Circular Cylinder ◽  
Magnetohydrodynamic Flow ◽  
Flow Past

Magnetohydrodynamic Flow Past a Vertical Plate With Radiative Heat Transfer

2007 ◽  
Vol 129 (12) ◽  
pp. 1708-1713 ◽  
Author(s):  
S. Shateyi ◽  
P. Sibanda ◽  
S. S. Motsa
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Radiative Heat Transfer ◽  
Radiation Effects ◽  
Vertical Plate ◽  
Radiative Heat ◽  
Tangential Direction ◽  
Magnetohydrodynamic Flow ◽  
Lateral Direction ◽  
Flow Past

The problem of steady, laminar, magnetohydrodynamic flow past a semi-infinite vertical plate is studied. The primary purpose of this study was to characterize the effects of thermal radiative heat transfer, magnetic field strength, and Hall currents on the flow properties. The governing nonlinear coupled differential equations comprising the laws of mass, linear momentum, and energy modified to include magnetic and radiative effects were solved numerically. The effects of the Hall current, the Hartmann number, and the radiative parameter on the velocity and temperature profiles are presented graphically. Large Hall currents and radiation effects cause the fluid to heat up and the velocity to increase in the lateral direction but decrease in the tangential direction. This study showed inter alia that reducing Hall currents and increasing the strength of the magnetic field lead to a reduction in the temperature and, consequently, in the thermal boundary layer, and so confirming that heat transfer mitigation through magnetic control is possible.

scholarly journals The magnetohydrodynamic flow past a non-conducting flat plate in the presence of a transverse magnetic field

1963 ◽  
Vol 15 (3) ◽  
pp. 449-476 ◽  
Author(s):  
D. M. Dix
Keyword(s):  
Magnetic Field ◽  
Flat Plate ◽  
Normal Component ◽  
Transverse Magnetic ◽  
Magnetohydrodynamic Flow ◽  
General Character ◽  
Governing Equations ◽  
Rayleigh Problem ◽  
Flow Past ◽  
Magnetic Diffusivity

The general character of the magnetohydrodynamic flow past a non-conducting flat plate in the presence of transverse magnetic fields is analysed in some detail. The appropriate extension of the Rayleigh problem to the magnetohydrodynamic case is shown to yield solutions which correctly predict some features of the steady flow past a semi-infinite flat plate; in addition, it is shown that the knowledge of these significant features permits an easy evaluation of their magnitudes in other extensions of the Rayleigh problem. The flow past a semi-infinite flat plate is analysed by two methods. First, by linearizing the governing equations and incorporating the assumption of a low ratio of viscous to magnetic diffusivity, the results for skin friction and the normal component of magnetic field at the plate are obtained and are shown to be useful in interpreting the character of these low conductivity flows. Secondly, the complete set of governing equations is formulated as a finite difference problem and solved numerically on a digital computer. The results obtained, in addition to demonstrating feasibility of the numerical calculations, show that the disturbance produced by the plate is no longer confined to a thin viscous layer if the ratio of viscous to magnetic diffusivity is greater than 10−2, but that an appreciable Alfvén type disturbance is excited.

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