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Boundary effects on the Bénard-Marangoni instability under an electric field. (English) Zbl 0812.76033
This article theoretically studies the Bénard-Marangoni instability problem for a liquid layer with a free upper surface, which is heated from below by a heating coil through a solid plate in an a.c. electric field. The boundary effects of the solid plate, which include its thermal conductivity, electric conductivity and thickness, have great influences on the onset of convective instability in the liquid layer. The stability analysis in this study is based on the linear stability theory. The eigenvalue equations obtained from the analysis are solved by using the fourth order Runge-Kutta-Gille’s method with the shooting technique.

MSC:
76E25 Stability and instability of magnetohydrodynamic and electrohydrodynamic flows
76E15 Absolute and convective instability and stability in hydrodynamic stability
80A20 Heat and mass transfer, heat flow (MSC2010)
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