# Specific interface area in a thin layer system of two immiscible liquids with vapour generation at the contact interface

## TL;DR

This paper develops a model to estimate the specific interface area in thin-layer systems of immiscible liquids with vapor generation at the contact interface, relevant for interfacial boiling and chemical reactions.

## Contribution

It introduces a new estimation method for the specific interface area based on heat influx and overheat, applicable to thin-layer immiscible liquid systems with vapor generation.

## Key findings

- Derived formulas for $S_V$ as a function of heat influx and overheat.
- Applicable to systems with interfacial boiling and chemical reactions.
- Results limited to thin-layer systems where gravitational effects are negligible.

## Abstract

For well-stirred multiphase fluid systems the mean interface area per unit volume, or "specific interface area" $S_V$, is a significant characteristic of the system state. In particular, it is important for the dynamics of systems of immiscible liquids experiencing interfacial boiling. We estimate the value of parameter $S_V$ as a function of the heat influx $\dot{Q}_V$ to the system or the average system overheat $\langle\Theta\rangle$ above the interfacial boiling point. The derived results can be reformulated for the case of an endothermic chemical reaction between two liquid reagents with the gaseous form of one of the reaction products. The final results are restricted to the case of thin layers, where the potential gravitational energy of bubbles leaving the contact interface is small compared to their surface tension energy.