Small amplitude oscillatory extensional rheometry for Newtonian filaments

We describe a new method of characterizing multiple parameters simultaneously for a Newtonian filament. Rather than requiring breakup to evaluate one independent parameter -- surface tension or viscosity, we propose utilizing oscillatory deformation profiles that avoid breakup and impose an external timescale. When combined with image processing to determine the free surface at various phases, this procedure can be used to determine the surface tension to density ratio (Weber number, We) and the viscosity to density ratio (Reynolds number, Re) simultaneously. We consider parametric strategies and examine the We - Re - aspect ratio parameter space to determine an optimal regime for measurement of both parameters under conditions of full and limited resolution.