Rayleigh-Taylor Instability of a Compressible Plasma with Finite Larmor Radius Effects

The Rayleigh-Taylor instability of a compressible plasma in the presence of a horizontal magnetic field is investigated, taking into account the effects of finite Larmor radius. Only transverse perturbations are considered. The problem is shown to be characterized by a variational principle. Using it, the dispersion relation is obtained for a plasma layer of finite thickness and having an exponentially varying density. It is found that the finite Larmor radius effects can thoroughly stabilize unstable configurations. For configurations which are not completely stabilized, the compressibility stabilizes some of the disturbances which are unstable for an incompressible plasma. © 1993, Walter de Gruyter. All rights reserved

CSSL-IV ON THE CYBER 205 A STUDY IN SUITABILITY

A study is made of the suitability of the continuous systems simulation language CSSL-IV on the Cyber 205. In an earlier paper by the authors, models characterized by parabolic and hyperbolic partial differential equations were simulated using CSSL-IV. In the present paper, the model of Faraday generator, which can be described by means of a pair of elliptical partial differential equations in velocity and induced magnetic field, is simulated. The equal velocity and current lines contours have been obtained for values of Hartmann numbers up to 20. No acceptable solutions could be obtained for larger values of Hartmann numbers. In an attempt to explain the source of inaccuracy, a mathematical analysis of the solution of Poisson's equation, using CSSL-IV, has been presented. It is demonstrated that a decrease in the value of the descretization interval size actually leads to exponentially growing solutions. This fact, somewhat, limits the suitability of CSSL-IV on the Cyber 205 for the simulation of models characterized by elliptical partial differential equations.We are currently acquiring citations for the work deposited into this collection. We recognize the distribution rights of this item may have been assigned to another entity, other than the author(s) of the work.If you can provide the citation for this work or you think you own the distribution rights to this work please contact the Institutional Repository Administrator at [email protected]

How is a fruit tree like you? Using artistic metaphors to explore and develop emotional competence in children

Counselling children often requires the use of supplementary strategies in order to interest and engage the child in the therapeutic process. One such strategy is the Metaphorical Fruit Tree (MFT); an art metaphor suited to exploring and developing self-concept. Quantitative and qualitative data was used to explore the relationships between children’s ability to use metaphor, age, gender, and level of emotional competence (N = 58). Quantitative and qualitative analyses revealed a significant negative relationship between self-reported emotional competence and ability to use the MFT. It is proposed that children rely on different processes to understand self and as children’s ability to cognitively report on their emotional capabilities via the Emotional Competence Questionnaire (ECQ) increases, their ability to report creatively on those capabilities via the MFT is undermined. It is suggested that the MFT may be used, via creative processes and as an alternative to cognitive processes, to increase understanding and awareness of intrapersonal and interpersonal concepts of self in the child during counselling