Astronomy and Astrophysics – Astrophysics
Scientific paper
Jan 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989plap.work..391i&link_type=abstract
In ESA, Proceedings of an International School and Workshop on Plasma Astrophysics, Volume 1 p 391-395 (SEE N89-24910 18-75)
Astronomy and Astrophysics
Astrophysics
Magnetohydrodynamic Flow, Magnetohydrodynamic Stability, Optical Thickness, Thermal Stability, Flow Stability, Flow Velocity, Mach Number, Temperature Effects
Scientific paper
The linear stability of general one-dimensional steady flows of optically thin fluids with a net heat-loss function L(rho T0) (=cooling-heating) is studied analytically. Applying the Hurwitz criteria, four modes for thermal instability are found. If L = rho sup (alpha-1) T sup Beta, a cooling flow (L greater than 0) becomes unstable when Beta is less than 1+3/gamma (1-M0 sq) M0 being the Mach number (the inequality reverses for heating flows). The remaining three instability criteria are polynomial expressions of the components of the wave number k along the flow kx and perpendicular to it k1. In the space (v0, M, kx, k1) where v0 is the steady value of the velocity and M the characteristic Mach number of the flow, they determine the regions of instability.
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