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Magnetohydrodynamic flow in a rectangular channel at high Hartmann number
Zeitschrift für angewandte Mathematik und Physik ZAMP, 1966Dans cette communication, nous considerons le flux permanent d'un fluide visqueux et conducteur le long d'un canal, en presence d'un champ magnetique qui est uniforme et transverse. Le canal est rectangulaire et a des parois non-conductrices. Les formules asymptotiques, applicables aux valeurs elevees du nombre de Hartmann, sont obtenues pour la ...
Drake, D. G., Abu-Sitta, A. M.
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MHD duct flows at moderate Hartmann number
Journal of Physics D: Applied Physics, 1971A numerical study of steady-state, fully developed, MHD duct flows is presented for the case of an applied transverse magnetic field and a two-dimensional variation of the flow parameters in the plane perpendicular to the flow direction, with no variations in fluid properties.
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Overstability in the magnetohydrodynamic Bénard problem at large Hartmann numbers
Mathematical Proceedings of the Cambridge Philosophical Society, 1966AbstractThe possibility of instability arising as overstability in the magnetohydrodynamic Bénard problem is discussed. Results are derived for large Hartmann numbers when the regions outside the fluid layer are conducting or insulating, the interfaces being rigid or free.
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Magnetohydrodynamic flow past a drop at low Reynolds and Hartmann numbers
Fluid Dynamics, 1978The flow of an electrically conductive liquid past a solid spherical particle at low Reynolds and Hartmann numbers in longitudinal and transverse magnetic fields was first investigated in [1,2]. The effect of a weak magnetic field on the strength of the resistance of a conductive drop in a dielectric medium was considered in [3].
Golovin, A. M., Natyaganov, V. L.
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Magnetohydrodynamic flow in a rectangular tube at high Hartmann number
Journal of Fluid Mechanics, 1963Asymptotic forms, valid for high Hartmann numberM, are obtained for the mean velocity for laminar magnetohydrodynamic flow in a rectangular tube. For a tube with non-conducting walls it is found that, neglecting exponentially damped terms, the mean velocity can be expressed in closed form in terms of tabulated functions.
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Code Validation for Magnetohydrodynamic Buoyant Flow at High Hartmann Number
Journal of Fusion Energy, 2015In liquid metal fusion blanket, the non-uniform volumetric heat deposited by the fusion neutrons leads to the non-uniform density distribution of liquid metal. With the force of gravity, buoyant flows would happen. In the fusion blanket where the magnetic field is up to 4T or even higher and the Hartmann number is ~104, these effects caused by the ...
Zi Meng +4 more
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Magnetohydrodynamic streaming flow past a sphere at low Hartmann numbers
The Physics of Fluids, 1973The streaming flow of a weakly conducting viscous fluid past a nonconducting sphere in the presence of an aligned uniform magnetic field is investigated for low Hartmann numbers using a Galerkin method. If convection effects are neglected, it is found that eddies occur symmetrically fore and aft of the sphere when the Hartmann number exceeds 2.9.
Mathon, Rudolf, Ranger, K. B.
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Some duct flow problems at high Hartmann number
ZAMP Zeitschrift für angewandte Mathematik und Physik, 1975Fully-developed magnetohydrodynamic duct flow under a uniform transverse field at high Hartmann numberM is generally well understood, but the case where the duct has two plane, highly-conducting electrodes parallel to the magnetic field, connected by an external conductor of negligible resistance, and two arbitrarily-shaped, insulating walls ...
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Magnetohydrodynamic pipe flow Part2. High Hartmann number
Journal of Fluid Mechanics, 1962The paper presents an improved, second approximation for the laminar motion of a conducting liquid at high Hartmann number in non-conducting pipes of arbitrary cross-section under uniform transverse magnetic fields. A satisfactory comparison with the author's previously experimental pressure gradient/flow results is made for the case of a circular pipe.
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Instability of magnetohydrodynamic flow in an annular channel at high Hartmann number
Physics of Fluids, 2011Instability of a flow of an electrically conducting fluid in an annular channel is analyzed. Strong constant magnetic field is imposed in the axial direction. Similarly to toroidal duct experiments, the flow is driven by the azimuthal Lorentz force resulting from the interaction between the magnetic field and the radial electric currents created by a ...
Yurong Zhao +2 more
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