Buoyancy and thermocapillary flows in rectangular enclosures filled by two immiscible liquids

Physics

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Scientific paper

This paper deals with thermal Marangoni and natural convection in two superposed immiscible liquids enclosed in a rectangular cavity with differentially heated end walls. The problem is solved via a two-dimensional, unsteady, finite difference numerical code in terms of vorticity, stream function and temperature. The flow field structure and behaviour are discussed in the cases of Marangoni, natural and combined convection, for different combinations of Prandtl and Reynolds numbers of the two interfacing fluids. For small aspect ratios and transport numbers unitary, the results agree with the analytical solution obtained under the shallow cavity approximation, whereas at small Reynolds they are in accordance with the analytical solution obtained in the case of Strokes flow regime.

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