A MATHEMATICAL AND COMPUTATIONAL STUDY OF GLOBAL STABILITY IN PARTIALLY-IONIZED ROTATING PLASMA

Articles in Press

Document Type : Research Paper

Authors

1 Department of Mathematics & Scientific Computing, National Institute of Technology Hamirpur, Hamirpur, 177005, Himachal Pradesh, India.

2 Department of Mathematics, Govt. College Jawalaji, Jawalamukhi, Kangra, 176031, Himachal Pradesh, India.

Abstract

A mathematical and computational study of the impact of rotation on the thermal convection of partially-ionized plasma has been explored using both linear and nonlinear analyses. The method of normal mode analysis has been used to study the linear analysis whereas, for nonlinear analysis, we have used the generalized energy method. For numerical analysis, we have employed the Galerkin method. It has been found that the Rayleigh number for nonlinear analysis is the same as stationary convection. Hence, we concluded that there is no sub-critical region and the system is globally stable. The effect of collision plays an important role in the energy decay analysis. It has also been observed that for stationary convection, the collisional frequency has no impact on stability, whereas rotation stabilizes the system. The effect of various parameters has also been discussed for oscillatory convection. The results for different bounding surfaces have been discussed and it is found that for a small rate of rotation, the partially-ionized plasma confined in rigid-rigid bounding surfaces is most stable whereas, for a high rate of rotation, the plasma confined in free-free bounding surfaces is most stable.

Keywords

Main Subjects

Computational Methods for Differential Equations

Articles in Press, Accepted Manuscript
Available Online from 10 April 2025

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History

  • Receive Date: 06 September 2023
  • Revise Date: 20 March 2025
  • Accept Date: 10 April 2025

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