Convective Heat Transfer to an Evaporating Liquid Drop in a Direct Contact with an Immiscible Liquid: Theoretical Analysis for Heat Transfer Coefficient and Bubble Growth Rate

An analytical model for bubble growth and convective heat transfer coefficient of a single liquid/vapour two-phase bubble evaporating in direct a contact with another immiscible liquid media has been developed. The model was based on the solution of the energy equation in a spherical coordinate with a potential flow assumption and a cellular model configuration. A new expression of the convective heat transfer coefficient in terms of the vaporization ratio and the Pe was derived and used to develop the bubble growth rate expression. Different parameters such as the vaporization ratio, Ja, Pe and Fro were tested. The solution results compared well with available experiment data and other theories.