  Shear-induced droplet formation is important in many industrial applications,
primarily focusing on droplet sizes and pinch-off frequency. We propose a
one-dimensional mathematical model that describes the effect of shear forces on
the droplet interface evolution. The aim of this paper is to simulate paraffin
wax droplets in a co-flowing fluid using the proposed model to estimate the
droplet volume rate for different flow velocities. Thus, the study focuses only
on the dripping regime. This one-dimensional model has a single parameter that
arises from the force balance on the interface. We use PETSc, an open-source
solver toolkit, to implement our model using a mixed finite element
discretization. The parameter is defined by cross-validation from previous
computational and experimental data. We present the simulation results for
liquid paraffin wax under fast-moving airflow with a range of velocities.
