Jyoti Prakash, Rajeev Kuma, Prakash Chopra
Jyoti Prakash1, Rajeev Kuma1, Prakash Chopra2
1Department of Mathematics and Statistics, Himachal Pradesh University, Shimla, India.
2J.N. Government Engineering College, Sunder Nagar (H.P.), India.
Volume - 9,
Issue - 1,
Year - 2017
The paper mathematically establishes that triply diffusive convection (analogous to Stern type), with variable viscosity and with one of the components as heat, cannot manifest itself as oscillatory motions of growing amplitude in an initially bottom heavy configuration if the thermal Rayleigh number |R|, the Lewis number t_2 for the second concentration component , µ_min (the minimum value of viscosity µ in the closed interval [0,1]) and the Prandtl number s satisfy the inequality |R|=(27p^4)/4 t_2 (µ_min+1/s) provided D^2 µ is positive everywhere. It is further proved that this result is uniformly valid for the quite general nature of the bounding surfaces.
Cite this article:
Jyoti Prakash, Rajeev Kuma, Prakash Chopra. On Triply Diffusive Convection Analogous to Stern type with Variable Viscosity. Research J. Science and Tech. 2017; 9(1):111-114. doi: 10.5958/2349-2988.2017.00016.X