History of engineering & technology Janus droplet Laplace transform Monte Carlo Oldroyd-B model OpenFOAM RK4 technique Soret and Dufour effect Technology: general issues adaptive dynamic mesh refinement bioheat equation boundary layer analysis brownian motion bvp4c chemical reaction constructive and destructive chemical reaction convective boundary conditions dielectric field direction-dependent droplet deformation droplet migration effective thermal conductivity elastic instability electroosmosis electroosmotic flow entropy generation error analysis finite element procedure finite element scheme fractal scaling