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Numerical Reliability of MHD Flow Calculations at High Hartmann Numbers

1991
In this paper, a new numerical investigation is performed for the two-dimensional MHD flow in a rectangular duct and an error analysis of the traditional calculation of solution is given.
K. G. Roesner, W. U. Würfel
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On the steady rotation of an axisymmetric solid in a conducting fluid at high Hartmann numbers

Mathematika, 1969
In an earlier paper [Shail, 1] one of the present authors considered the effect of a magnetic field on the frictional couple experienced by an axisymmetric solid insulator which rotates slowly in a bounded viscous conducting fluid, the applied magnetic field being parallel to the axis of rotation.
Williams, W. E., Shail, R.
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A variational principle for magnetohydrodynamics with high Hartmann number flow

International Journal of Engineering Science, 2002
Abstract By the semi-inverse method proposed by He, a variational principle is established for three-dimensional MHD equations with high Hartmann number. In order to incorporate the no-slip condition and far distance boundary condition as natural boundary conditions, a special technique is proposed in this paper. Lagrange crisis are also illustrated.
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Thermocapillary instabilities in liquid metals: Hartmann number versus Prandtl number

1994
Summary: We consider the effect of a vertical magnetic field on the hydrothermal wave instability of thermocapillary driven shear flow of an electrically conducting fluid in a horizontal three-dimensional planar layer. The linear stability analysis is confined to the disturbances traveling crosswise the basic flow.
Priede, J., Gerbeth, G., Thess, A.
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Unsteady hydromagnetic pipe flow at small Hartmann number

Applied Scientific Research, 1965
In this paper we have studied the problem of the unsteady flow of an electrically conducting incompressible viscous fluid through a circular pipe under the influence of a uniform applied transverse magnetic field when the walls are non-conducting. It has been assumed that the velocity vanishes on the non-conducting walls and initially the fluid is at ...
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Flow due to a body spinning in rotating fluid at large hartmann numbers

Zeitschrift für angewandte Mathematik und Physik ZAMP, 1970
Ein Rotationskorper und ein koaxialer Zylinder rotieren unabhangig und erzeugen eine stationare MHD-Stromung in der zwischenliegenden Flussigkeit, in einem gleichformigen axialen magnetischen FeldBo. Unter der Annahme, dass (die Hartmann-Zahl)M ≫ 1, dassM ≫Re undM ≫Rm findet man, dass die Flussigkeit ausserhalb des Zylinders, der parallel zuBo den ...
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MHD buoyant flow in a cubical enclosure at low to high Hartmann number

International Journal of Thermal Sciences, 2018
Abstract In this paper, magnetohydrodynamic buoyant flow of liquid metal in a cubical enclosure is studied for low to high Hartmann numbers at various Rayleigh numbers with, and without, the use of wall-function treatment. The numerical calculations have been carried using a 3-D MHD numerical code developed in-house by our research group.
Narendra Laxman Gajbhiye   +1 more
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Variational principle for two-dimensional high Hartmann number flow

International Journal of Engineering Science, 2001
A variational principle for the stream function-vorticity form of the linearised two-dimensional MHD equations which incorporates the no-slip condition as a natural boundary condition has been used to solve a range of problems. Finite element discretisations leading to sparse non-symmetric linear systems have been solved by a corrected version of a ...
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Slow steady flows of a conducting fluid at large Hartmann numbers

Fluid Dynamics, 1968
We consider slow steady flows of a conducting fluid at large values of the Hartmann number and small values of the magnetic Reynolds number in an inhomogeneous magnetic field. The general solution is obtained in explicit form for the basic portion (core) of the flow, where the inertia and viscous forces may be neglected.
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Magnetohydrodynamic stability thresholds as a function of Hartmann number and pinch ratio

Plasma Physics and Controlled Fusion, 1992
The linear instabilities of an incompressible, uniform-density magnetofluid are considered in the periodic straight cylinder approximation. Spatially-dependent resistivity and viscosity profiles are regarded as fixed, but their magnitudes and the magnitudes of the currents driven in the plasma are not.
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