Jyoti Prakash*, Virender Singh, Shweta Manan, Vinod Kumar**
Jyoti Prakash*, Virender Singh, Shweta Manan and Vinod Kumar**
Department of Mathematics and Statistics., Himachal Pradesh University, Summer Hill, Shimla-171005, India
** Department of Physics, MLSM College, Sundernagar, H.P. (India)
Volume - 4,
Issue - 1,
Year - 2014
The paper mathematically establishes that the complex growth rate (p_(r ),p_i) of an arbitrary neutral or unstable oscillatory perturbation of growing amplitude, in a triply diffusive fluid layer in porous medium (Darcy Model) with one of the components as heat with diffusivity ?, must lie inside a semicircle in the right- half of the (p_(r ),p_i)-plane whose centre is origin and radius equals v((R_1+R_2)s), where R_1 and R_2 are the Raleigh numbers for the two concentration components with diffusivities ?_1 and ?_2 (with no loss of generality, ?>?_1>?_2 ) and s is the Prandtl number. Further, it is proved that above result is uniformly valid for quite general nature of the bounding surfaces.
Cite this article:
Jyoti Prakash*, Virender Singh, Shweta Manan and Vinod Kumar**. Upper Limits to the Complex Growth Rates in Triply Diffusive Convection in Porous Medium.