MODERATELY STRONG OBLIQUE SHOCKS AND SIMPLE WAVES IN STEADY MAGNETOHYDRODYNAMIC FLOW
Technical Report
·
OSTI ID:4014399
Steady two-dimensional magnetohydrodynamic flow for the general case of noniligned flow and magnetic field directions, as well as of arbitrary strength of magnetohydrodynamic interactions, is considered. An explicit solution describing the physical state across either a family of simple waves or an oblique shock of moderate strength is obtained. It is derived by expansion of the jump conditions of the state variables across an oblique magnetohydrodynamic shock up to second order with respect to the shock strength that is measured by theta , the deflection angle of the flow direction across the wave. The solution corresponds to a correction of linear characteristics solution for small disturbances. It is shown, to the present approximation, that the position of an oblique magnetohydrodynarnic shock bisects the angle made by upstream and downstream characteristics. Simple solutions for different limiting cases are given. A singularity of the expansion is exhibited and investigated in detail. (auth)
- Research Organization:
- New York Univ., New York. Courant Inst. of Mathematical Sciences
- NSA Number:
- NSA-18-020630
- OSTI ID:
- 4014399
- Report Number(s):
- NYO-10436
- Country of Publication:
- United States
- Language:
- English
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