Similarity transformation for the compressible Jeffery-Hamel flow of dissipative plasmas

Journal Article · Mon Oct 01 04:00:00 EDT 1973 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.1666197· OSTI ID:4398655

Wilhelm, H. E.

A similarity transformation is presented which transforms the nonlinear, partial differential equations describing a compressible plasma flow across an azimuthal magnetic field between plane inclined walls (Jeffery-- Hamel flow with viscous momentum transfer, Ohmic and viscous heating, and thermal heat conduction) into one linear and two nonlinear ordinary, coupled differential equations. By elimination, the nonlinear boundary-value problem of this compressible plasma flow is reduced to a boundary-value problem for (i) two ordinary, coupled differential equations or (ii) a single functional integrodifferential equation. The characteristic parameter ''m'' of the similarity transformation is shown to be an eigenvalue of the nonlinear boundary- value problem. (auth)

• Research Organization: Colorado State Univ., Fort Collins
• Sponsoring Organization: USDOE
• NSA Number: NSA-29-011637
• OSTI ID: 4398655
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 10 Vol. 14; ISSN JMAPAQ; ISSN 0022-2488
• Publisher: American Institute of Physics (AIP)
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

*PLASMA-- COMPRESSIBLE FLOW
BOUNDARY CONDITIONS
DIFFERENTIAL EQUATIONS
JOULE HEATING
MAGNETIC FIELDS
MOTION
N70500* --Physics--Controlled Thermonuclear Research-- Kinetics (Theoretical)
NONLINEAR PROBLEMS