Journal :   International Journal of Technology

Volume No. :   6

Issue No. :  2

Year :  2016

Pages :   233-238

ISSN Print :  2231-3907

ISSN Online :  2231-3915


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MHD stability of a nanofluid layer using Darcy model: Introduction of oscillatory motions for bottom heavy configuration



Address:   Jyoti Ahuja1, Urvashi Gupta2*, Veena Sharma3
1Energy Research Centre, Panjab University, Chandigarh-160014, INDIA
2Dr. S.S. Bhatnagar University Institute of Chemical Engineering and Technology, Panjab University, Chandigarh-160014, INDIA
3Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla-171005
*Corresponding Author
DOI No: 10.5958/2231-3915.2016.00036.5

ABSTRACT:
The impact of vertical magnetic field on the thermal instability of a horizontal porous nanofluid layer using Darcy model is considered for free-free boundaries. Brownian motion and thermophoretic forces are introduced due to the presence of nanoparticles and Lorentz’s force term is added in the momentum equation along with the Maxwell’s equations due to magnetic field. Normal mode technique and single term Galerkin approximation is employed to investigate the instability and derive the eigen value problem. It is found that the mode of instability is through oscillatory motions for bottom heavy suspension of nanoparticles. The reason for the existence of oscillatory motions is due to the occurrence of two opposite buoyancy forces i.e. density variation due to heating and density gradient of nanoparticles at the bottom of the layer. The thermal Rayleigh number increases with the increase of Chandrasekhar number and decreases with the increase of porosity. The effect of Lewis number, modified diffusivity ratio, concentration Rayleigh number and heat capacity ratio on the onset of thermal convection has been investigated analytically and presented graphically.
KEYWORDS:
MHD stability of a nanofluid layer using Darcy model: Introduction of oscillatory motions for bottom heavy configuration.
Cite:
Jyoti Ahuja, Urvashi Gupta, Veena Sharma. MHD stability of a nanofluid layer using Darcy model: Introduction of oscillatory motions for bottom heavy configuration. Int. J. Tech. 2016; 6(2): 233-238.
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