Recent developments in applied mathematics and mechanics: theory, experiment and practice. Devoted to the 80th anniversary of academician N.N.Yanenko

Akademgorodok, Novosibirsk, Russia, June 24 - 29, 2001



Abstracts


Novosibirsk participants

Numerical investigation of flow around a wedge in weakly ionized plasma

Fomin V.M., Maslov A.A., Malmuth N.D., Shashkin A.P., Korotaeva T.A

Institute of Theoretical and Applied Mechanics of SB RAS (Novosibirsk)
Rocwell Science Center (USA)

Numerical simulaton of slightly ionized plasma has been a subject of great interest recently because of the possibility of using MHD systems for improving a scramjet performance. The natural degree of a flow ionization in a scramjet channel usually is insufficient to organize appreciable level of MHD interaction with ihc flow. The ionizer is used for creation of necessary conductivity of a flow in that case, when the natural flow conductivity does not provide a required decree. For this purpose it is possible to use different types of gas discharge, microwave radiation or E- beams.
In the present work the researches of influence of an electron beam on a gasdynamic parameters of a hypersonic flow were carried out. The calculations were performed by the method of finite volumes for 3D Euler equations. The system of equations , describing motion of inviscid non-stationary gas, is supplemented with 22 kinetic equations for 13 component mixtures.
Before the wedge there is a bounded region of high electron temperature, vibrational temperature of nitrogen and electron concentration. This region imitates the effect of an electron beam on the stream at start time This numerical model E- beam has resulted in sharp increase of vibrational, and then translational temperatures behind area of an electron beam. The local Mach number has changed. The flow around a wedge has become inhomogeneous. The position of a bow shock wave has changed. The pressure profile on a surface of a wedge has changed also. As width of area E-beam was less, than width of a wedge, change of a position of a shock wave and pressure profile has taken place not on all surface of a wedge. The shape of a shock wave on a wedge is complicated, flow between a body and shock wave also varies. The concentration of negative ions in computational area above a surface of a wedge was obtained. The high degree of concentration of negative ions O - which maintains conductivity of a stream was obtained up to the end of a wedge.

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Note. Abstracts are published in author's edition



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