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Convective Transport of Nanofluid Saturated with Porous Layer
American Journal of Applied Mathematics
Volume 5, Issue 1, February 2017, Pages: 1-13
Received: Nov. 10, 2016; Accepted: Nov. 26, 2016; Published: Jan. 18, 2017
Authors
Jada Prathap Kumar, Department of Mathematics, Gulbarga University, Kalaburagi, Karnataka, India
Jawali Channabasappa Umavathi, Department of Mathematics, Gulbarga University, Kalaburagi, Karnataka, India
Channakeshava Murthy, Department of Mathematics, Gulbarga University, Kalaburagi, Karnataka, India
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Abstract
In the present article, the onset of convection in a horizontal layer of porous medium saturated by ananofluid is investigated analytically using linear and weakly nonlinear analysis. The model used for the nanofluid incorporates the effect of Brownian motion and thermophoresis. The effect of Raleigh-Darcy number, Lewis number, modified diffusivity ratio, on the stability of the system is investigated. Stationary and Oscillatory modes of convections has been studied. The linear stability analysis is based on normal mode technique, while then on linear theory is based on the truncated representation of Fourier series method. A weekly nonlinear analysis is used to obtain the concentration and thermal Nusselt number. The behavior of the concentration and thermal Nusselt number is investigated by solving the finite amplitude equations. Obtained results have been presented graphically and discussed in details.
Keywords
Nanofluid, Porous Medium, Instability, Natural Convection
Jada Prathap Kumar, Jawali Channabasappa Umavathi, Channakeshava Murthy, Convective Transport of Nanofluid Saturated with Porous Layer, American Journal of Applied Mathematics. Vol. 5, No. 1, 2017, pp. 1-13. doi: 10.11648/j.ajam.20170501.11
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