Critical Mach numbers in classical magnetohydrodynamics

Details Critical Mach numbers in classical magnetohydrodynamics Critical Mach numbers in classical magnetohydrodynamics

Dec 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987jgr....9213427k&link_type=abstract

Journal of Geophysical Research (ISSN 0148-0227), vol. 92, Dec. 1, 1987, p. 13427-13437.

Statistics

Computation

21

Mach Number, Magnetohydrodynamic Flow, Navier-Stokes Equation, Specific Heat, Thermal Conductivity, Viscous Fluids, Computational Fluid Dynamics, Rankine-Hugoniot Relation

Scientific paper

The author uses stationary point analysis to compute generalized critical Mach numbers for finite amplitude fast and slow shocks in classical MHD fluids. He pays particular attention to the case where the resistive and thermal conduction dissipation scale lengths are comparable and much larger than the viscous scale lengths. With both resistivity and thermal conduction, the critical Mach number at which viscosity must be invoked is determined by the condition that the downstream flow speed equal the isothermal sound speed. The author also shows that resistivity and thermal conduction can provide convergent stationary point solutions for nearly all slow shocks, except perhaps switch-off shocks.

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