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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN 印刷: 2152-5102
ISSN オンライン: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v42.i5.20
pages 391-403

On arresting the Complex Growth Rates in Magnetohydrodynamic Triply Diffusive Convection

Jyoti Prakash
Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla-171005, India
Kanu Vaid
Department of Mathematics and Statistics, Himachal Pradesh University Summer Hill, Shimla-171005, India
Renu Bala
Department of Mathematics and Statistics, Himachal Pradesh University Summer Hill, Shimla-171005, India

要約

The paper mathematically establishes that the complex growth rate (pr ,pi) of an arbitrary neutral or unstable oscillatory perturbation of growing amplitude, in a magneto triply diffusive fluid layer with one of the components as heat with diffusivity κ must lie inside a semicircle in the right half of the (pr,pi) plane whose centre is origin and radius is max[√((R1 + R2)σ), Qσ], where R1 and R2 are the Rayleigh numbers for the two concentration components with diffusivities κ1 and κ2 (with no loss of generality κ > κ1 > κ2), Q is the Chandrasekhar number and σ is the thermal Prandtl number. It is further proved that the above result is uniformly valid for any combination of rigid and free boundaries (which may be insulating or perfectly conducting).


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