The Segregation Rate of Two Immiscible Fluids: a Planetary Scale Differentiation Perspective

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The segregation rate of two immiscible fluids has been studied. In general the problem can be applied in various branches of sciences and engineering, we have considered the specific problem related with the planetary scale differentiation of planetesimals. Numerical simulations have been performed to understand the segregation rate of two immiscible fluids under the influence of gravity. The segregation rate is studied as a function of the fluid transfer rates. A heat conduction partial differential equation with the radioactive heat sources is numerically solved to generate a melt containing two immiscible fluids, namely, the molten iron and the partially melted silicate. Under the presence of gravity, the iron melt, with the high density, is made to segregate from the partially melted silicate of comparatively low density. The iron melt is made to descent downwards with an assumed melt percolation velocity that is treated as a free parameter for the simulations. The fluid flow eventually leads to the segregation of the two melts. In order to produce the core-mantle differentiation of the planetesimals within the empirically observed initial few million years of the early solar system we impose a constraint on the average melt percolation velocities of greater than 0.01 meter per year. Otherwise, we would not expect to have any differentiated planetesimal or asteroid in the solar system
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Heat Conduction; Fluid Transfer; Finite Difference Method; Immiscible Fluid; 4 Vesta; DAWN Spacecraft

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