Abstract
Effect of variable gravity on the onset of thermal convection in a horizontal layer of rotating nanofluid in a porous medium is investigated. For the porous medium Darcy model is used. A linear stability analysis based upon normal mode technique is used to find solution of the fluid layer confined between two free-free boundaries. Rayleigh numbers on the onset of stationary convection and oscillatory convection have been derived by using Galerkin method. Graphs have been plotted to study the effect of Taylor number (rotation), Lewis number and variable gravity parameter on the stationary convection.
Highlights
A new class of fluid known as nanofluid has been successfully applied in heat transfer devices
Stability curves for variable gravity parameter, Lewis number and rotation are shown in figures 1-3
It is found that the value of stationary Rayleigh number increases when we taken decreasing gravity profile i.e. when variable gravity parameter is h(z) = - z, while the value of stationary Rayleigh number decreases when we take increasing gravity profile i.e. when variable gravity parameter is h(z) = z
Summary
A new class of fluid known as nanofluid has been successfully applied in heat transfer devices. Strughan [35] discuss the various type of variable gravity parameter on the stability convection and recently Chand [36,37] studied the variable gravity effects on the thermal instability in fluid layer. Effect of variable gravity in layer of nanofluid in a porous medium is studied by Chand et al [38] and found that gravity parameter play significant role on the stability of fluid. Owing to the various applications variable gravity and rotation in the stability convection an attempt have made to study the effects of variable gravity and FME Transactions (2015) 43, 62-69 rotation in a horizontal layer of nanofluid in a porous medium heated from below
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