An analytical model for the convective heat transfer coefficient and the
two-phase bubble size of a three-phase direct contact heat exchanger was
developed. Until the present, there has only been a theoretical model
available that deals with a single two-phase bubble and a bubble train
condensation in an immiscible liquid. However, to understand the actual heat
transfer process within the three-phase direct contact condenser,
characteristic models are required. A quasi - steady energy equation in a
spherical coordinate system with a potential flow assumption and a cell model
configuration has been simplified and solved analytically. The convective
heat transfer in terms of Nu number has been derived, and it was found to be
a function to Pe number and a system void fraction. In addition, the
two-phase bubble size relates to the system void fraction and has been
developed by solving a simple energy balance equation and using the derived
convective heat transfer coefficient expression. Furthermore, the model
correlates well with previous experimental data and theoretical results.
Heat transfer modelling of two-phase bubbles swarm condensing in three - phase direct - contact condenser
