Author(s):
Harjinder Singh, Chitresh Kumari, Jitender Kumar, Virender Singh, Jyoti Prakash
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Harjinder Singh1, Chitresh Kumari2, Jitender Kumar3, Virender Singh4, Jyoti Prakash2
1Department of Mathematics, Kanwar Durga Chand Govt. Degree College, Jaisinghpur, Kangra-176095, Himachal Pradesh, India.
2Department of Mathematics and Statistics, Himachal Pradesh University, Summerhill, Shimla-171005, Himachal Pradesh, India.
3 Department of Mathematics, Baba Balak Nath College, Hamirpur-176039, Himachal Pradesh, India. Himachal Pradesh, India.
4Govt. Polytechnic for Women Rehan, Kangra-176022, Himachal Pradesh, India.
Published In:
Conference Proceeding, Proceeding of ICAMAS-2025
Year of Publication:
July, 2025
Online since:
July 11, 2025
DOI:
Not Available
ABSTRACT:
The problem of deriving upper limits for the complex growth rate of a disturbance in any hydrodynamic stability problem is important especially when any one of the bounding surfaces is rigid so that exact solution of the problem in closed form is not obtainable. In the present paper, such upper limits are derived for a horizontal dielectric Navier-Stokes-Voigt fluid layer in a sparsely distributed porous medium heated from below. It is proved mathematically that the complex growth rate ( and are the real and imaginary parts of respectively) of an arbitrary neutral or unstable oscillatory disturbance of growing amplitude in a dielectric Navier-Stokes-Voigt fluid layer in a sparsely distributed porous medium fluid layer heated from below, for the case of free boundaries, lies inside a semicircle in the right half of the plane, whose centre is at the origin and radius equals , where is the Prandtl number, is the ratio of heat capacities, is the Navier-Stokes-Voigt parameter and is electric Rayleigh number. The upper limits for the case of rigid boundaries are derived separately. Further, similar results are also derived for the same configuration when heated from above.
Cite this article:
Harjinder Singh, Chitresh Kumari, Jitender Kumar, Virender Singh, Jyoti Prakash. On the Complex Growth Rate of a Disturbance in a Dielectric Navier-Stokes-Voigt Fluid in Porous Medium. Proceeding of ICAMAS-2025. Proceeding of ICAMAS-2025. 55-63.
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