Volume 20, Issue 1, January 2016, Pages 25–37
Abderrahim Wakif1, Zoubair Boulahia2, and Rachid Sehaqui3
1 University of Hassan II, Faculty of Sciences Aïn Chock, Laboratory of Mechanics, B.P.5366 Mâarif, Casablanca, Morocco
2 University of Hassan II, Faculty of Sciences Aïn Chock, Laboratory of Mechanics, B.P.5366 Mâarif, Casablanca, Morocco
3 University of Hassan II, Faculty of Sciences Aïn Chock, Laboratory of Mechanics, B.P.5366 Mâarif, Casablanca, Morocco
Original language: English
Copyright © 2016 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The aim of this paper, is to use a more realistic model which incorporates the effects of Brownian motion and the thermophoresis for studying the effect of some control parameters on the onset of convective instability in a rotating medium filled of a Newtonian nanofluid layer and heated from below, this layer is assumed to have a low concentration of nanoparticles. The linear study which was achieved in this investigation shows that the thermal stability of Newtonian nanofluids depends of the buoyancy forces, the Coriolis force generated by the rotation of the system, the Brownian motion, the thermophoresis and other thermo-physical properties of nanoparticles. The studied problem will be solved analytically by converting our boundary value problem to an initial value problem, after this step we will approach numerically the searched solutions by polynomials of high degree to obtain a fifth-order-accurate solution.
Author Keywords: Linear stability, Newtonian Nanofluid, Rotating layer, Brownian motion, Thermophoresis, Power seriesLinear stability, Newtonian Nanofluid, Rotating layer, Brownian motion, Thermophoresis, Power series.
Abderrahim Wakif1, Zoubair Boulahia2, and Rachid Sehaqui3
1 University of Hassan II, Faculty of Sciences Aïn Chock, Laboratory of Mechanics, B.P.5366 Mâarif, Casablanca, Morocco
2 University of Hassan II, Faculty of Sciences Aïn Chock, Laboratory of Mechanics, B.P.5366 Mâarif, Casablanca, Morocco
3 University of Hassan II, Faculty of Sciences Aïn Chock, Laboratory of Mechanics, B.P.5366 Mâarif, Casablanca, Morocco
Original language: English
Copyright © 2016 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
The aim of this paper, is to use a more realistic model which incorporates the effects of Brownian motion and the thermophoresis for studying the effect of some control parameters on the onset of convective instability in a rotating medium filled of a Newtonian nanofluid layer and heated from below, this layer is assumed to have a low concentration of nanoparticles. The linear study which was achieved in this investigation shows that the thermal stability of Newtonian nanofluids depends of the buoyancy forces, the Coriolis force generated by the rotation of the system, the Brownian motion, the thermophoresis and other thermo-physical properties of nanoparticles. The studied problem will be solved analytically by converting our boundary value problem to an initial value problem, after this step we will approach numerically the searched solutions by polynomials of high degree to obtain a fifth-order-accurate solution.
Author Keywords: Linear stability, Newtonian Nanofluid, Rotating layer, Brownian motion, Thermophoresis, Power seriesLinear stability, Newtonian Nanofluid, Rotating layer, Brownian motion, Thermophoresis, Power series.
How to Cite this Article
Abderrahim Wakif, Zoubair Boulahia, and Rachid Sehaqui, “An accurate method to Study the Rayleigh-Bénard Problem in a Rotating Layer Saturated by a Newtonian Nanofluid,” International Journal of Innovation and Scientific Research, vol. 20, no. 1, pp. 25–37, January 2016.
