Electrothermoconvective instability in a heat generating dielectric fluid layer

作者: M.S. Nagashree , K. Hemalatha , I.S. Shivakumara

DOI: 10.1016/J.ICHEATMASSTRANSFER.2007.05.006

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摘要: Abstract The combined effects of vertical d.c. electric field and uniform internal heat generation on the onset convection in a horizontal poorly conducting dielectric fluid layer heated uniformly from below are investigated. Galerkin method is used to solve resulting eigenvalue problem. Parametric study conducted know varying Rayleigh number, Re dimensionless source strength, Ns. It found that these two parameters exhibit dual effect natural convection; result noticed contrast their when they acting isolation.

参考文章(10)
A. Douiebe, M. Hannaoui, G. Lebon, A. Benaboud, A. Khmou, Effects of a.c. Electric Field and Rotation on Bénard–Marangoni Convection Flow Turbulence and Combustion. ,vol. 67, pp. 185- 204 ,(2001) , 10.1023/A:1015038222023
Maekawa Toru, Abe Keisci, Tanasawa Ichiro, Onset of natural convection under an electric fieldt International Journal of Heat and Mass Transfer. ,vol. 35, pp. 613- 621 ,(1992) , 10.1016/0017-9310(92)90120-H
Robert J. Turnbull, Electroconvective Instability with a Stabilizing Temperature Gradient. I. Theory Physics of Fluids. ,vol. 11, pp. 2588- 2596 ,(1968) , 10.1063/1.1691864
M. TAKASHIMA, K. D. ALDRIDGE, THE STABILITY OF A HORIZONTAL LAYER OF DIELECTRIC FLUID UNDER THE SIMULTANEOUS ACTION OF A VERTICAL DC ELECTRIC FIELD AND A VERTICAL TEMPERATURE GRADIENT Quarterly Journal of Mechanics and Applied Mathematics. ,vol. 29, pp. 71- 87 ,(1976) , 10.1093/QJMAM/29.1.71
P. J. Martin, A. T. Richardson, Conductivity Models of Electrothermal Convection in a Plane Layer of Dielectric Liquid Journal of Heat Transfer. ,vol. 106, pp. 131- 136 ,(1984) , 10.1115/1.3246625
Mohamed I. A. Othman, Electrohydrodynamic instability of a rotating layer of a viscoelastic fluid heated from below Zeitschrift für Angewandte Mathematik und Physik. ,vol. 55, pp. 468- 482 ,(2004) , 10.1007/S00033-003-1156-2
E. M. Sparrow, R. J. Goldstein, V. K. Jonsson, Thermal instability in a horizontal fluid layer: effect of boundary conditions and non-linear temperature profile Journal of Fluid Mechanics. ,vol. 18, pp. 513- 528 ,(1964) , 10.1017/S0022112064000386
I. S. Shivakumara, S. P. Suma, Effects of throughflow and internal heat generation on the onset of convection in a fluid layer Acta Mechanica. ,vol. 140, pp. 207- 217 ,(2000) , 10.1007/BF01182511
Subrahmanyan Chandrasekhar, Hydrodynamic and Hydromagnetic Stability ,(1961)