Deformation Of Viscous Drops In Flow ThroughSinusoidally Constricted Capillaries

The motion of neutrally-buoyant viscous drop in pressure-driven flow through a sinusoidally constricted capillary is examined at low Reynolds number. In the absence of inertial effects, the boundary integral formulation is used to determine the shape of the drop at various axial positions within the capillary. The position-dependent drop speed and the extra pressure loss due to the presence of the drop are also calculated, and the results for small to moderate drop sizes are reported. The effects of the amplitude of corrugation of the capillary wall on the mobility of the drop and the extra pressure loss are also presented.