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Thermal Instability in a Rivlin-Ericksen Elastico-Viscous Nanofluid in a Porous Medium: A Revised Model
Current Issue
Volume 2, 2015
Issue 1 (January)
Pages: 1-5   |   Vol. 2, No. 1, January 2015   |   Follow on         
Paper in PDF Downloads: 59   Since Aug. 28, 2015 Views: 959   Since Aug. 28, 2015
Authors
[1]
Ramesh Chand, Department of Mathematics, Government Arya Degree College Nurpur, Himachal Pradesh, India.
[2]
G. C. Rana, Department of Mathematics, NSCBM Government College Hamirpur, Himachal Pradesh, India.
[3]
Kamal Singh, Department of Mathematics, Government College Indora, Himachal Pradesh, India.
Abstract
Thermal instability in a horizontal layer of Rivlin-Ericksen elastico-viscous nanofluid in porous medium is considered for more realistic boundary conditions. A linear stability analysis based upon perturbation method and normal mode technique is used to find solution of the fluid layer. The onset criterion for stationary convection is derived analytically to study the stability characteristics. The effects of the Lewis number, modified diffusivity ration, nanoparticle Rayleigh number and porosity parameter on the stability of the system are investigated analytically.
Keywords
Nanofluid, Rivlin-Ericksen Fluid, Thermal Instability, Viscosity, Visco-Elasticity, Perturbation Method
Reference
[1]
Buongiorno J. Convective transport in nanofluids, ASME Journal of Heat Transfer - 2006- V. 128- N. 3-P.240.
[2]
Nield D.A. and Kuznetsov A. V. Thermal instability in a porous medium layer saturated by a nanofluid: A revised model, Int. J. of Heat and Mass Transfer - 2014-V. 68- N. 4-P.211.
[3]
Chand R. and Rana, G. C. Thermal instability in a Brinkman porous medium saturated by nanofluid with no nanoparticle flux on boundaries, Special Topics & Reviews in Porous Media: An International Journal - 2014- V. 5- N. 4- P. 277.
[4]
Chand R. and Rana, G. C. Magneto convection in a layer of nanofluid in porous medium-A more realistic approach, Journal of Nanofluids- 2015-V.4- N.2- P.196.
[5]
Chand R., Kango S.K. and Rana G. C. Thermal instability in anisotropic porous medium saturated by a nanofluid-a realistic approach - NSNTAIJ-2014-V.8- N.12-P.445.
[6]
Rana G.C and Chand R. Stability analysis of double-diffusive convection of Rivlin-Ericksen elastico-viscous nanofluid saturating a porous medium: a revised model, Forsch Ingenieurwes- 2015- V. 79- N.1-2- P.87.
[7]
Chand R. and Rana, G.C. Thermal instability of Rivlin-Ericksen elastico-viscous nanofluid saturated by a porous medium, J. Fluids Eng. - 2012 - V.134- N. 12 - P.21203.
[8]
Chand R. and Rana G. C. On the onset of thermal convection in rotating nanofluid layer saturating a Darcy-Brinkman porous medium, Int. J. of Heat and Mass Transfer - 2012- V. 55- N. – P.5417.
[9]
Chand R. and Rana, G. C. Dufour and Soret effects on the thermosolutal instability of Rivlin-Ericksen elastico-viscous fluid in porous medium, Z. Naturforschung A- 2012- V. 67- N.a – P. 685.
[10]
Chandrasekhar S. Hydrodynamic and Hydromagnetic stability, Oxford University Press, (Dover Publication), New York- 1981.
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