Author(s):
Rajeev Kumar, Aarti Manglesh, Ashish Kumar
Email(s):
rajeevkumar2012math@gmail.com
Address:
Rajeev Kumar1*, Aarti Manglesh2, Ashish Kumar3
1Assistant Professor, Himachal Pradesh University Department of Evening Studies, The Mall, Shimla-1.
2Assistant Professor, CDOE, Himachal Pradesh University, Summer Hill, Shimla-5.
3 Research Scholar, Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla-5.
*Corresponding author
Published In:
Conference Proceeding, Proceeding of ICAMAS-2025
Year of Publication:
July, 2025
Online since:
July 11, 2025
DOI:
Not Available
ABSTRACT:
This study investigates the effects of varying gravity, uniform rotation, and different boundary conditions (free-free, rigid-rigid, and rigid-free) on oscillatory Rayleigh-Bénard Convection. Six gravitational field variations are analyzed and Rayleigh numbers are calculated using the Galerkin Method. Critical wave numbers and Rayleigh numbers for each boundary condition, along with visual representations of the results, are computed using MATLAB R2024b software. The results show that gravity stabilizes the system for the first three cases of gravitational field variation and destabilizes it for the last three, depending on the boundary conditions. The system is most stable in case (i) and least stable in case (v) of the gravitational field variations. For lower values of T, the system is most stable with free-free boundaries and least stable with rigid-free boundaries. For higher values of T, it is most stable with free-free boundaries and least stable with rigid-rigid boundaries. In all cases of gravitational field variation, uniform rotation delays the onset of oscillatory convection.
Cite this article:
Rajeev Kumar, Aarti Manglesh, Ashish Kumar. The Onset of Oscillatory Convection in Rotatory Rayleigh-Bénard Convection Under the Influence of Varying Gravity, Analyzed using the Galerkin Method. Proceeding of ICAMAS-2025. 44-54.
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