Thermal Instability in a Layer of Nanofluid Subjected to Rotation and Suspended Particles Chand Ramesh1,*, Rana G. C.2, Kumar Arvind3, Sharma Vandna4 1Department of Mathematics, Government College Dhaliara (Kangra), Himachal Pradesh, India 2Department of Mathematics, Sidharth Government College Nadaun (Hamirpur), Himachal Pradesh, India 3Department of Mathematics, Government College Nagrota Bagwan (Kangra), Himachal Pradesh, India 4Department of Mathematics, DDM College of Science and Technology Banehra (Una), Himachal Pradesh, India *Corresponding Author: rameshnahan@yahoo.com
Online published on 5 February, 2014. 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. Top Keywords Prandtl number, Taylor number, Nanofluid, Suspended particles, Lewis number. Top |