Conference Proceeding

Mathematics in Space and Applied Sciences (ICMSAS-2023)
ICMSAS-2023

Subject Area: Mathematics
Pages: 331
Published On: 03-Mar-2023
Online Since: 04-Mar-2023

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Author(s): Vishal Chandel, Sunil, Poonam Sharma, Reeta Devi

Email(s): jagjitsinghpatial@gmail.com

Address: Vishal Chandel1, Sunil1, Poonam Sharma2, Reeta Devi3
1Department of Mathematics and Scientific Computing, National Institute of Technology, Hamirpur-177005, Himachal Pradesh, India
2Department of Mathematics, NSCBM Govt. College Hamirpur-177005, Himachal Pradesh, India
3Department of Mathematics, Govt. College Nagrota Bagwan (Kangra)-176047, Himachal Pradesh, India
*Corresponding Author

Published In:   Conference Proceeding, Mathematics in Space and Applied Sciences (ICMSAS-2023)

Year of Publication:  March, 2023

Online since:  March 04, 2023

DOI: Not Available

ABSTRACT:
A nonlinear (energy) stability analysis is performed for a partially-ionized plasma layer heated from below, in three different bounding cases (both free, both rigid, one free and one rigid). A nonlinear stability threshold in a partially-ionized plasma is exactly the same as the linear instability boundary. It is found that the nonlinear critical stability Rayleigh number coincide with the linear instability critical Rayleigh number and this indicates the existence of global stability. So, no sub-critical instabilities are possible. The optimal result is important because it shows that linearized instability theory has captured completely the physics of the onset of thermal convection. The collisional effect plays an important role in decaying of energy whereas it doesn’t affect the value of the Rayleigh number.


Cite this article:
Vishal Chandel, Sunil, Poonam Sharma, Reeta Devi. Global stability for thermal convection in a partially-ionized plasma. Proceedings of 2nd International Conference on Mathematics in Space and Applied Sciences. 2023;1:149-157.


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Author/Editor Information

Dr. Sanjay Kango

Department of Mathematics, Neta Ji Subhash Chander Bose Memorial, Government Post Graduate College, Hamirpur Himachal Pradesh-177 005, INDIA