Strong MHD-intraction in hypersonic flows near bodies

Фомичев, В. В.; Yadrenkin, M. A.

doi:10.1063/1.5007478

Cited by 4 publications

(1 citation statement)

References 7 publications

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“…The numerical results are compared against published numerical ones and show good agreement. Fomichev and Yadrenkin (2017) in their experimental work, studied the interaction of an electric discharge with a hypersonic flow and a magnetic field. They have shown that the work of the volumetric electromagnetic force leads to the deceleration of the hypersonic air flow, to the fixation of the ionization region in the flow, to the change of pressure in the interaction zone and to the appearance of a bow shock wave in front of the interaction zone.…”

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Studying the Effect of Magnetic Strength and Electrical Conductivity on the Velocity Profile of an MHD Flow in a Rectangular Duct

Al-Thehabey¹

2020

JETP

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This document presents the results of an investigation of the impact of variations of electrical conductivity and magnetic field strength on the velocity profile inside a rectangular duct, assuming equilibrium flow. It also presents the physics and the complete theory associated with the MHD, then derive the equations to be utilized for computational analysis of the magnetic field and the velocity profiles.The computational work in this document is based on the assumption that the working fluid is air and it is fully developed in the duct. The finite difference method is used to perform the analysis for 2 distinct cases: the first case is when the magnetic field strength changes, while holding the electrical conductivity constant. The second case is when the electrical conductivity is changing while holding the magnetic field strength constant.It has been found that increasing the magnetic field strength has resulted in decreasing the axial velocity profile, which demonstrated that the magnetic field was pulling the flow to its direction, reducing the flow momentum in the axial direction. It has also been found that the electrical conductivity reduced the velocity profile in the axial direction when that conductivity was increasing, demonstrating that the electric field was also pulling the flow in its direction, reducing the flow momentum in the axial direction.

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Studying the Effect of Magnetic Strength and Electrical Conductivity on the Velocity Profile of an MHD Flow in a Rectangular Duct

Al-Thehabey¹

2020

JETP

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Analytic model of a plane resistive magnetohydrodynamic shock with Hall effect

Berton

2020

CEAS Space J

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In the present work, our formerly published analytical model of resistive magnetohydrodynamic (MHD) shock without Hall effect has been extended to include the Hall effect. Original jump conditions at a plane oblique shock, analogous to the Rankine-Hugoniot formulas, with a moderately resistive air plasma downstream are derived. Viscous and Ohmic dissipations are neglected, but the jump of isentropic exponent, caused by molecular dissociations behind the shock, is also included in the model. Then, for an application to atmospheric entry problems, a shock fitting procedure with realistic geometrical configurations and ambient conditions at two altitudes is worked out by the coupling of these MHD jumps with thermodynamic correlations at equilibrium and an electrical conductivity model. Fundamental features put into evidence are the reduction and saturation of the MHD interaction by the Hall effect as the magnetic field increases, and the crucial role played by the ion slip factor in the phenomenon. Paradoxically, the Hall effect arises because of the dominance of the magnetic field over collisions, and eventually it counters the MHD interaction. The validity of the assumption of plasma equilibrium and possible validation experiments for the flight conditions considered are also discussed.

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