A theoretical study on drop breakup modeling in turbulent flows: The inertial subrange versus the entire spectrum of isotropic turbulence

In the development of new models for the daughter size distribution function, the number and volume conservation properties should always be analyzed. Care should be taken when a change in the model parameter is performed, for example, the Jacobian relation in an integral is required for consistency. Precise notation regarding the function definitions is required in order to avoid model misinterpretations.