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Magnetohydrodynamics at High Hartmann Number

Annual Review of Fluid Mechanics, 1971
Of all areas of MHD, steady, incompressible, rectilinear flow under transverse magnetic fields has probably received most attention and is now well understood. A review of the field would therefore appear to be timely. This review also briefly refers to three-dimensional, nonrectilinear flows but concentrates throughout on cases where the Hartmann ...
J C R Hunt, J A Shercliff
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On the role of the Hartmann number in magnetohydrodynamic activity

Plasma Physics and Controlled Fusion, 1993
Magnetohydrodynamic activity near the threshold of instability is studied numerically for resistive equilibria in periodic cylinders. Attention focuses on the role of the viscosity (and its reflection in the Hartmann number) in determining the existence and nonlinear evolution of instabilities.
X Shan, D Montgomery
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A high Hartmann number rotating plasma

The Physics of Fluids, 1979
Experimental measurements on a rotating argon plasma are presented which confirm that a flowing magnetohydrodynamic fluid may be divided into distinct core and boundary regions when the Hartmann number is large. Estimates of the rotational speed of the plasma are obtained by measuring the radial density profile.
G. F. Brand, B. W. James, C. J. Walsh
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Diffusion to a particle at large péclet numbers and small Reynolds and Hartmann numbers

Fluid Dynamics, 1980
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Golovin, A. M., Natyaganov, V. L.
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Magnetohydrodynamic secondary flows at high Hartmann numbers

Journal of Fluid Mechanics, 1981
Laminar flows in annular ducts of rectangular cross-section subjected to a constant axial magnetic field B0 are considered. The equations of flow are treated by a perturbation method involving infinite series expansions in ascending powers of the ratio Λ = a/R0 (where a and R0 are respectively the height and the mean radius of the annular duct). The
Tabeling, P., Chabrerie, J. P.
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Hartmann numbers and MHD activity

Plasma Physics and Controlled Fusion, 1994
A recent inquiry into the relevance of the Hartmann number to tokamak dynamics, due to Thyagaraja (1994), is commented upon. The possible roles of shear viscous stresses and ion parallel viscous stresses are discussed further. Somewhat different conclusions are offered.
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Is the Hartmann number relevant to tokamak physics?

Plasma Physics and Controlled Fusion, 1994
Montgomery and Shan (1992, 1993) have argued that in calculating resistive MHD instability thresholds, both resistivity and viscosity play an equally important role and may significantly modify conventional views of resistive MHD. The author discusses these arguments and puts them in perspective in the context of tokamak physics.
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Global searches of Hartmann-number-dependent stability boundaries

Plasma Physics and Controlled Fusion, 1993
A numerical technique is developed for searching for the stability boundary for a resistive, straight-cylinder, magnetohydrodynamic equilibrium with spatially-dependent resistivity. For fixed aspect ratio, the boundary is a curve in the plane whose axes are Hartmann number and pinch ratio (or reciprocal of the safety factor at the wall).
X Shan, D Montgomery
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