Volume No. :   6

Issue No. :  1

Year :  2015

ISSN Print :  0976-2973

ISSN Online :  2321-581X


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Upper limits to the Linear Growth Rate in Triply Diffusive Convection

Address:   Jyoti Prakash*, Renu Bala, Kultaran Kumari
Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla-171005, India.
*Corresponding Author
DOI No: 10.5958/2321-581X.2015.00008.2

In the present paper it is mathematically established that the linear growth rate of an arbitrary neutral or unstable oscillatory perturbation of growing amplitude in a triply diffusive fluid layer (with one of the component as heat with diffusivity ?) must lie inside a semicircle in the right half of the (p_r,p_i ) - plane whose centre is at the origin and radius equals v((|R|+R_1 )s) where R and R1 are the thermal Rayleigh number and concentration Rayleigh number with diffusivities ? and ?_1. Further, it is proved that this result is uniformly valid for quite general nature of the bounding surfaces.
Triply diffusive convection; Oscillatory motions; complex growth rate; Concentration Rayleigh number.
Jyoti Prakash, Renu Bala, Kultaran Kumari. Upper limits to the Linear Growth Rate in Triply Diffusive Convection. Research J. Engineering and Tech. 6(1): Jan.-Mar. 2015 page 47-49.
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