ISSN

2231-3915 (Online)
2231-3907 (Print)


Author(s): Jyoti Prakash, Pankaj Kumar, Shweta Manan

Email(s): jpsmaths67@gmail.com

DOI: 10.5958/2231-3915.2016.00015.8   

Address: Jyoti Prakash*, Pankaj Kumar, Shweta Manan
Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla-171005, India
*Corresponding Author

Published In:   Volume - 6,      Issue - 2,     Year - 2016


ABSTRACT:
A relationship between various energies in magnetohydrodynamic multicomponent convection problem analogous to magnetohydrodynamic thermohaline convection problem of Veronis (1965) type has been established. It is shown that the total kinetic energy associated with a disturbance exceeds the sum of its total magnetic and concentration energies in the parameter regime (Qs_1)/p^2 +(R_1 s)/(?4t?_1^2 p^4 )+(R_2 s)/(?4t?_2^2 p^4 )+?+(R_(n-1) s)/(?4t?_(n-1)^2 p^4 )=1, where Q,s,s_1,t_1,t_2,…,t_(n-1),?R_1,R?_2,…?,R?_(n-1) represent Chandrasekhar number, Prandtl number, magnetic Prandtl number, Lewis number for first concentration component, Lewis number for second concentration component, Lewis number for (n-1)th concentration component, concentration Rayleigh number for first component, concentration Rayleigh number for second component, concentration Rayleigh number for (n-1)th component respectively. Further, this result is uniformly valid for any combination of rigid or free boundaries whether perfectly conducting or insulating.


Cite this article:
Jyoti Prakash, Pankaj Kumar, Shweta Manan. An Energy Relationship in Multicomponent Convection Problem. Int. J. Tech. 2016; 6(2): 99-102. doi: 10.5958/2231-3915.2016.00015.8


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