A Numerical Method of Determining the Rate of Evaporation of Small Water Drops Falling at Terminal Velocity in Air

S. E. Woo Department of Chemical Engineering, McMaster University, Hamilton, Ontario, Canada

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A. E. Hamielec Department of Chemical Engineering, McMaster University, Hamilton, Ontario, Canada

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Abstract

Accurate, numerical solutions of the Navier-Strokes equations of motion and the equation of mass transfer have been obtained for the steady-state transfer of a chemically inert substance from the surface of a single rigid sphere moving at its terminal velocity in an unbounded fluid. Local Sherwood numbers have been calculated for spheres with Reynolds numbers in the range 0.05–300 and for a fluid with a Schmidt number of 0.71. The objective of this study was to model the effect of ventilation on the rate of evaporation of cloud drops falling at terminal velocity in air subsaturated with respect to water.

Abstract

Accurate, numerical solutions of the Navier-Strokes equations of motion and the equation of mass transfer have been obtained for the steady-state transfer of a chemically inert substance from the surface of a single rigid sphere moving at its terminal velocity in an unbounded fluid. Local Sherwood numbers have been calculated for spheres with Reynolds numbers in the range 0.05–300 and for a fluid with a Schmidt number of 0.71. The objective of this study was to model the effect of ventilation on the rate of evaporation of cloud drops falling at terminal velocity in air subsaturated with respect to water.

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