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- W2022496275 abstract "In this paper we consider the flow and interfaces deformation in non-isothermal two-liquids bridges, i.e. in liquid bridges held between two parallel planar disks, posed at different temperature, which are composed by two coaxial immiscible liquid columns, an inner column of liquid (a) forming an axisymmetric interface with an outer annular column of liquid (b) bounded by a free surface from the external still gas. The motion in the two bulk phases arises due to surface gradients of the interface tensions, induced by the imposed temperature difference, both at the liquid–liquid interface and at the external free surface; for the interface tensions it is assumed a linear dependence on the temperature. Under the hypothesis of Reynolds, Peclet and capillary numbers very small, the field equations are expanded in a series of successive linear approximations; the zeroth-order approximation is the Stokes problem, that is analytically solved via separation of variables in terms of infinite series of modified first-order Bessel functions of first and second kind and Papkovitch–Fadle bi-orthogonal eigenfunctions. To improve convergence of the series, Cesaro sums are used. The solution is given for the zeroth order temperature, velocity and pressure fields and for the first-order deviation of the interfaces from the hydrostatic shape. Streamlines, velocity profiles and interface shapes are presented and discussed in terms of Marangoni numbers, viscosity ratio of the two bulk phases and aspect ratios of the two liquid columns." @default.
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- W2022496275 date "2003-12-01" @default.
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- W2022496275 title "Thermocapillary flows in two-fluids liquid bridges" @default.
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- W2022496275 doi "https://doi.org/10.1016/s0094-5765(02)00240-0" @default.
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