Droplet deformation under shear flows is widely observed in many practical applications, including droplet-based microfluidics and emulsion processing, whereby the droplet usually exhibits viscoelastic characteristics. It has been shown that the performance of these applications is significantly influenced by the size and shape of the resulting droplets. Therefore, the underlying performance is directly tied to the precision and efficiency of viscoelastic droplet control. Previous studies demonstrate that the electric field is a straightforward and efficient way of manipulating fluid flows. However, the effects of an electric field on the viscoelastic droplet deformation remain unexplored. To this aim, this work investigates the electrohydrodynamic (EHD) control of viscoelastic droplets under shear flows using a hybrid numerical framework coupling the lattice Boltzmann method and finite difference method. Extensive simulations are conducted under various electrical properties, such as conductivity ratio R, permittivity ratio S, and electric field strength CaE. Focus is placed on the quantitative analysis of the viscoelastic droplet morphological metrics including deformation D and inclination angle θ. Phase diagrams of D, θ, and combined D and θ in the plane of R–S are developed, where four regions can be identified based on different droplet behaviors under an electric field. The mechanism of this phenomenon is presented by analyzing the distribution of the electric field, electric charge, and electrical force at different regions. It is further observed that the electric field strength CaE amplifies these effects, either suppressing or promoting the droplet deformation and rotation. While viscoelastic effects are considered, they are found to play a subdominant role compared to EHD forces in controlling or modifying droplet morphology. This study provides insights into the electrohydrodynamic (EHD) effects on the dynamics of viscoelastic droplets in shear flow, contributing to the development of active control strategies for viscoelastic droplets in microfluidic applications, including drug delivery and food processing.
Read full abstract