Numerical simulation of oscillatory mhd natural convection in cylindrical annulus: Prandtl number effect

被引：38

作者：

Mebarek-Oudina F. ^{[1
]}

Makinde O.D. ^{[2
]}

机构：

[1] Department of Physics, Faculty of Sciences, University of 20 Août 1955-Skikda, B.P 26 Road El-Hadaiek, Skikda

[2] Faculty of Military Science, Stellenbosch University, Private Bag X2, Saldanha

来源：

Defect and Diffusion Forum | 2018年 / 387卷

关键词：

Cylindrical annulus; Mhd stability; Natural convection; Oscillatory flow;

D O I：

10.4028/www.scientific.net/DDF.387.417

中图分类号：

学科分类号：

摘要：

The oscillatory natural convection between two concentric cylinders is numerically investigated. The effect of Prandtl number on flow and heat transfer characteristics with considering the magnetic field effects is investigated. For different values of physical parameters, critical Rayleigh numbers are determined. For buoyancy term, the Boussinesq approximation is used, and the numerical solutions are obtained using the finite volume method. For this kind of Prandtl number, the flow and heat transfer characteristics are unique and independent of the Prandtl number. Stability diagram (Ra Cr -Pr) highlights the dependence of Ra Cr via Prandtl numbers and various Hartmann number. The importance of this modeling is its practical application for stabilizing or weakening the convective effects in the design of magnetic systems. © 2018 Trans Tech Publications, Switzerland.

引用

页码：417 / 427

页数：10

共 19 条

[1]

Kladias N., Prasad V., Natural convection in horizontal porous layers: Effects of darcy and prandtl numbers, J. Heat Transfer, 111, 4, pp. 926-935, (1989)

[2]

Kladias N., Prasad V., Experimental verification of darcy-brinkman forchbeimer flow model for natural convection in porous media, J. Thermo Phys. Heat Transfer, 5, pp. 560-576, (1991)

[3]

Gelfgat A., Bar-Yoseph P., The effect of an external magnetic field on oscillatory instability of convective flows in a rectangular cavity, Phys. Fluids, 13, (2001)

[4]

Hossain M.S., Alim M.A., MHD free convection within trapezoidal cavity with non uniformly heated bottom wall, Int. J. Heat and Mass Transfer, 69, pp. 327-336, (2014)

[5]

Sankar M., Venkatachalappa M., Do Y., Effect of magnetic field on the buoyancy and thermocapillary driven convection of an electrically conducting fluid in annular enclosure, Int. J. Heat and Fluid Flow, 32, pp. 402-412, (2011)

[6]

Mebarek-Oudina F., Bessaih R., Oscillatory magneto hydrodynamic natural convection of liquid metal between vertical coaxial cylinders, J. Appl. Fluid Mechanics, 9, 4, pp. 1655-1665, (2016)

[7]

Mebarek-Oudina F., Bessaih R., Magneto hydrodynamic stability of natural convection flows in Czochralski crystal growth, World Journal of Engineering, 4, 4, pp. 15-22, (2007)

[8]

Mebarek-Oudina F., Bessaih R., Oscillatory mixed convection flow in a cylindrical container with rotating disk under axial magnetic field and various electric conductivity walls, I. Review of Physics, 4, 1, pp. 45-51, (2010)

[9]

Mebarek-Oudina F., ÉTude Numérique de la Stabilité Magnétohydrodynamique, (2017)

[10]

Mebarek-Oudina F., Transfert thermique convectif des nanofluides dans un espace annulaire entre deux cylindres verticaux avec une source de chaleur, Journées Int. de Thermique, (2017)

← 1 2 →