Research Journal of Science and Technology

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Thermal Instability in a Layer of Nanofluid Subjected to Rotation and Suspended Particles


Affiliations
1 Department of Mathematics, Government College Dhaliara (Kangra), Himachal Pradesh, India
2 Department of Mathematics, Sidharth Government College Nadaun (Hamirpur), Himachal Pradesh, India
3 Department of Mathematics, Government College Nagrota Bagwan (Kangra), Himachal Pradesh, India
4 Department of Mathematics, DDM College of Science and Technology Banehra (Una), Himachal Pradesh, India
     

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The objective of the present work is to investigate theoretically the combined effect of rotation and suspended particles on the thermal instability in a layer of nanofluid. A linear stability theory, perturbation method and normal mode technique is used to find the solution of fluid layer confined between two free boundaries. For linear theory analysis, critical Rayleigh number has been obtained to study the stability analysis. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. The onset criterion for stationary and oscillatory convection is derived analytically and graphically. The effects of various parameters such as suspended particles, rotation, Lewis number and modified diffusivity ratio on the stationary convection are studied.

Keywords

Prandtl Number, Taylor Number, Nanofluid, Suspended Particles, Lewis Number.
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  • Thermal Instability in a Layer of Nanofluid Subjected to Rotation and Suspended Particles

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Authors

Ramesh Chand
Department of Mathematics, Government College Dhaliara (Kangra), Himachal Pradesh, India
G. C. Rana
Department of Mathematics, Sidharth Government College Nadaun (Hamirpur), Himachal Pradesh, India
Arvind Kumar
Department of Mathematics, Government College Nagrota Bagwan (Kangra), Himachal Pradesh, India
Vandna Sharma
Department of Mathematics, DDM College of Science and Technology Banehra (Una), Himachal Pradesh, India

Abstract


The objective of the present work is to investigate theoretically the combined effect of rotation and suspended particles on the thermal instability in a layer of nanofluid. A linear stability theory, perturbation method and normal mode technique is used to find the solution of fluid layer confined between two free boundaries. For linear theory analysis, critical Rayleigh number has been obtained to study the stability analysis. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. The onset criterion for stationary and oscillatory convection is derived analytically and graphically. The effects of various parameters such as suspended particles, rotation, Lewis number and modified diffusivity ratio on the stationary convection are studied.

Keywords


Prandtl Number, Taylor Number, Nanofluid, Suspended Particles, Lewis Number.

References