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TRANSIENT HEAT AND MASS TRANSFER DURING THE FORMATION OF SUPERHEATED SPHERICAL BUBBLES

DOI: 10.1615/ICHMT.1996.TransientConvHeatTransf.380

A. C. Mezavilla
COPPE/UFRJ - Chemical Engineering Dept. C.P. 68502, Rio de Janeiro, RJ, 21945-970 - Brazil

C. M. Hackenberg
PEQ/COPPE/UFRJ, Chem. Eng. Dept., C.P. 68502,21945-970-Rio de Janeiro-RJ, Brazil

Sinopsis

In this work a thermofluid dynamic model, with known moving boundary, is proposed in order to study the heat and mass transfer, including phase change, during the formation of superheated bubbles in orifices immersed in a continuous liquid phase. From the obtained results it is possible to determine not only the total amount of the continuous phase evaporated mass per bubble, but also the internal and interfacial temperatures and concentrations profiles. For the mathematical description of the heat and mass transfer and surface evaporation, during bubble formation, the bubble growth is determined by constant gas flow and bubble frequency in each orifice. In order to determine the solution to this moving boundary value problem a linearized liquid-vapor equilibrium equation is utilized at the interface. The integral transform method has been applied and a maple-v code was written in order to calculate numerical results from the analytical solutions of the resulting ODE matrix system.

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