Effects of inertia on the deformation of liquid drops in simple shear flow (Q1892927)

Simple shear flow past a one-dimensional array of two-dimensional viscous drops with constant surface tension at small and moderate Reynolds numbers up to Re\(=\)100 is considered in a Couette flow device. The deformation of the drops from the initial circular shape is computed using a variation of Peskin's immersed boundary formulation in conjunction with a finite-difference method for solving the equations of two-dimensional incompressible Newtonian flow. The results establish critical capillary and Weber numbers for large elongation and breakup as functions of the Reynolds number.