Numerical solution of the onset of Buoyancy‐driven nanofluid convective motion in an anisotropic porous medium layer with variable gravity and internal heating

Heat Transfer ◽  
2020 ◽  
Vol 49 (3) ◽  
pp. 1170-1191 ◽  
Author(s):  
Dhananjay Yadav
Keyword(s):  
Porous Medium ◽  
Numerical Solution ◽  
Convective Motion ◽  
Internal Heating ◽  
Medium Layer ◽  
Anisotropic Porous Medium ◽  
Variable Gravity

scholarly journals Stability Convection in a Couple Stress Fluid Saturated in an Anisotropic Porous Medium with Internal Heating Effect

2020 ◽  
Vol 76 (2) ◽  
pp. 75-84
Author(s):  
Nadia Diana Mohd Rusdi ◽  
Nor Fadzillah Mohd Mokhtar ◽  
Norazak Senu ◽  
Siti Suzilliana Putri Mohamed Isa
Keyword(s):  
Porous Medium ◽  
Rayleigh Number ◽  
Couple Stress ◽  
Anisotropy Parameter ◽  
Mechanical Anisotropy ◽  
Mode Analysis ◽  
Couple Stress Fluid ◽  
Heating Effect ◽  
Internal Heating ◽  
Anisotropic Porous Medium

Internal heating effect with stability convection in a couple stress fluid saturated in an anisotropic porous medium has been studied numerically using linear stability analysis. The presence of internal heating on couple stress fluid in an anisotropic porous medium heated from below has been verified. The momentum equation and Boussinesq approximation is used for the density variation in the porous medium. By using Chebyshev Tau method numerically, the eigenvalue problems of the perturbed state were obtained from a normal mode analysis. The effect of the Rayleigh number, internal heat source and anisotropy parameter has been shown graphically. The critical Rayleigh number also has been obtained and plotted on the system. From the result, it is found that the mechanical anisotropy parameter and internal heating effect destabilized the system while couple stress fluid and thermal anisotropy parameter help in stabilizing the system.

scholarly journals Ferroconvection in an Anisotropic Porous Medium with Variable Gravity

2020 ◽  
Vol 71 (2) ◽  
pp. 56-68
Author(s):  
Nor Halawati Senin ◽  
Nor Fadzillah Mohd Mokhtar ◽  
Mohamad Hasan Abdul Sathar
Keyword(s):  
Porous Medium ◽  
Anisotropic Porous Medium ◽  
Variable Gravity

scholarly journals Variable Gravity Effects on Thermal Instability of Nanofluid in Anisotropic Porous Medium

2013 ◽  
Vol 18 (3) ◽  
pp. 631-642 ◽  
Author(s):  
R. Chand ◽  
G.C. Rana ◽  
S. Kumar
Keyword(s):  
Porous Medium ◽  
Brownian Motion ◽  
Rayleigh Number ◽  
Thermal Instability ◽  
Horizontal Layer ◽  
Free Boundaries ◽  
Gravity Effects ◽  
Anisotropic Porous Medium ◽  
Variable Gravity ◽  
Mode Technique

Abstract In this paper, we study the effects of variable gravity on thermal instability in a horizontal layer of a nanofluid in an anisotropic porous medium. Darcy model been used for the porous medium. Also, it incorporates the effect of Brownian motion along with thermophoresis. The normal mode technique is used to find the confinement between two free boundaries. The expression of the Rayleigh number has been derived, and the effects of variable gravity and anisotropic parameters on the Rayleigh number have been presented graphically

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