Analysis of non-explosive bubble growth within a superheated liquid droplet suspended in an immiscible liquid

Bubble growth within a volatile droplet (liquid 1) at its superheat limit suspended in an immiscible nonvolatile field liquid (liquid 2) is analysed by solving the coupled energy and momentum equations for the temperature fields in liquids 1 and 2. A numerical solution is presented for a two-phase droplet modelled as a vapour bubble growing from the centre of liquid 1. It is shown that when the properties of liquids 1 and 2 are appreciably different, the bubble growth rate can experience a significant increase or decrease when the thermal boundary layer extends into liquid 2. The present calculations are also compared with available data and the agreement is reasonable.