Investigation on the transient solution for electrohydrodynamic deformation of droplets in a combined DC electric field and shear flow field

Abstract

In this article, we endeavor to analytically analyze the transient deformation and orientation of a droplet in a combined DC electric field and shear flow field. Throughout the analysis, the droplet's shape was assumed to be spheroidal. By incorporating stress balances, boundary conditions, and motion equations, we modeled the droplet's behavior, formulating its elongation and rotation separately. The droplet's rotation was assumed to be the linear sum of electric and shear rotations. However, our findings, derived from the developed MATLAB program, revealed that the linear summation of rotations does not hold.