Similarity transformation for the compressible Jeffery-Hamel flow of dissipative plasmas
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, Vol. 14, Issue 10; Other Information: Orig. Receipt Date: 30-JUN-74; ISSN 0022-2488
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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