Magnetogasdynamic Flows with Shock Waves

Journal Article · Tue Jan 01 04:00:00 EST 1963 · Physics of Fluids (New York)

DOI:https://doi.org/10.1063/1.1706774· OSTI ID:4715839

Geffen, Nima

A consistent small-perturbation theory for the alignedfields, steady, magnetogasdynamic two-dimensional and axisymmetric flow of an inviscid conductor in the sonic, Alfvenic, and hypercritical regimes is developed, and approximate shock relations derived by a simple method. This results in nonlinear relatively simple systems of equations and shock relations for mixed flows around bodies in the transition regimes. It is found that transonic magnetogasdynamic problems can be reduced to gasdynamic ones; each gasdynamic transonic flow around a given body implies an infinite number of magnetogasdynamic patterns around the same body for all values of Alfven numbers different from zero and one, and each of these, in turn, yields another family of flows around similar bodies, according to a modified von Karman similarity rule. The hypercritical and transonic systems are mathematically similar and obey the same similarity rule. An explicit correspondence between specific transonic and hypercritical flows does not exist, but transonic arguments and methods can be used to infer qualitative properties of hypercritical flows and to obtain exact solutions of hypercritical flow patterns.

• Research Organization: Cornell Univ., Ithaca, N.Y.
• Sponsoring Organization: USDOE
• NSA Number: NSA-17-020714
• OSTI ID: 4715839
• Journal Information: Physics of Fluids (New York), Journal Name: Physics of Fluids (New York) Journal Issue: 4 Vol. 6; ISSN 0031-9171; ISSN PFLDAS
• Publisher: American Institute of Physics
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ALFVEN NUMBER
ELECTRIC CONDUCTIVITY
EQUATIONS
GAS FLOW
MAGNETOGASDYNAMICS
MAGNETOHYDRODYNAMICS
PERTURBATION THEORY
PHYSICS
SHOCK WAVES
TRANSIENTS