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Physics of Plasmas / Volume 5 / Issue 8

Phys. Fluids B 5, 2959 (1993); http://dx.doi.org/10.1063/1.860682 (8 pages)

Shear flow effects on the nonlinear evolution of thermal instabilities

J.‐N. Leboeuf, L. A. Charlton, and B. A. Carreras

Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831‐8070

(Received 21 December 1992; accepted 4 May 1993)

In the weak radiation drive regime, the coupling between the thermal instability driven by impurity radiation and the self‐consistent flow profile modification leads to a simple dynamical system that can be approximated by the Volterra–Lotka equations. In this system the shear flow acts as a predator and the temperature fluctuations act as prey. The solutions are oscillatory, and their behavior resembles that of edge‐localized modes (ELM’s). The solutions of the simplified model are compared with the three‐dimensional and two‐dimensional nonlinear numerical results for this instability.

KEYWORDS and PACS

Keywords

LOTKA−VOLTERRA EQUATIONS, DYNAMICAL SYSTEMS, THERMAL INSTABILITIES, SHEAR FLOW, FLUCTUATIONS, TURBULENCE, PLASMA INSTABILITY, PREDATOR−PREY INTERACTIONS

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.860682

PUBLICATION DATA

ISSN

0899-8221 (print)  
1089-7674 (online)

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