Application of maximum entropy principle for estimation of droplet-size distribution using internal flow analysis of a swirl injector

Abstract

The maximum entropy principle is one of the first methods, which have been used to predict droplet size and velocity distributions of liquid sprays. Due to some drawbacks in this model, the predicted results do not match well with the experimental data. This paper presents a different approach for improving the maximum entropy principle model. It is suggested to improve the available energy source in the maximum entropy principle model equation by numerical solution of flow inside the injector based on the computational fluid dynamics technique. This will enhance the calculation accuracy of the turbulent kinetic energy of the output spray. Application of this procedure enhances the model predictions. The liquid sheet properties resulted from the analysis are also applied for calculation of the momentum source in the maximum entropy principle model. The proposed model is applied to predict the droplet size distribution of a hollow-cone spray formed by a swirl injector. The results show a better agreement with the available experimental data than the results of prior models.

A new model based on coupling of MEP/CFD/ILIA for prediction of primary atomization

“…The VOF model is a surface‐capturing technique applied to a fixed Eulerian mesh which solves a single set of momentum equations . Depending on the volume fraction values, the variables and properties in each cell are either related to one phase or related to a mixture of the phases.…”

“…Depending on the volume fraction values, the variables and properties in each cell are either related to one phase or related to a mixture of the phases. This means that if the q th fluid's volume fraction in the cell is symbolized as a q , then the three conditions are as follows: a q = 0: The cell is empty of the q th fluid. a q = 1: The cell is full of the q th fluid. 0 < a q < 1: The cell contains the interface between the q th fluid and one or more other fluids. …”