Browsing by Author "Gourdon C."

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    Effect of the viscosity ratio on the mass transfer into a spherical drop in liquid-liquid dispersions
    (2014-01-01) Alexandrova S.; Karsheva M.; Saboni A.; Gourdon C.
    Numerical solutions of the Navier-Stokes equations of motion and the equations of mass transfer have been obtained for the unsteady state transfer into a spherical drop moving in an unbounded fluid medium of different viscosity. The effect of the viscosity ratio, k, between the dispersed phase and the continuous phase, on the mass transfer into a spherical drop, is investigated for different ranges of viscosity (0 < k < 10), Reynolds number (0 < Re < 100) and Peclet number (0 < Pe < 104).
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    Heat transfer from a moving fluid sphere with internal heat generation
    (2014-01-01) Alexandrova S.; Karsheva M.; Saboni A.; Gourdon C.
    In this work, we solve numerically the unsteady conduction-convection equation including heat generation inside a fluid sphere. The results of a numerical study in which the Nusselt numbers from a spherical fluid volume were computed for different ranges of Reynolds number (0 < Re < 100), Peclet number (0 < Pe < 10000) and viscosity ratio (0 < κ < 10), are presented. For a circulating drop with Re → 0, steady creeping flow is assumed around and inside the sphere. In this case, the average temperatures computed from our numerical analysis are compared with those from literature and a very good agreement is found. For higher Reynolds number (0 < Re < 100), the Navier-Stokes equations are solved inside and outside the fluid sphere as well as the unsteady conduction-convection equation including heat generation inside the fluid sphere. It is proved that the viscosity ratio κ (κ = = μd/μc) influences significantly the heat transfer from the sphere. The average Nusselt number decreases with increasing κ for a fixed Peclet number and a given Reynolds number. It is also observed that the average Nusselt number is increasing as Peclet number increases for a fixed Re and a fixed κ.
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    Mass transfer into a spherical bubble
    (2016-10-02) Saboni A.; Alexandrova S.; Karsheva M.; Gourdon C.
    A numerical study has been conducted to investigate the mass transfer inside a spherical bubble at low to moderate Reynolds numbers. The Navier-Stokes and diffusion-convection equations were solved numerically by a finite difference method. The effect of the bubble Schmidt number (over the range 0.1