One‐Dimensional Liquid Fibers

Abstract

Axisymmetric Newtonian viscous fibers are examined under isothermal conditions. An expansion based on lubrication scaling is used to derive systematically the one‐dimensional equations for the fiber. At lowest order these are identical with those obtained by others, e.g., Matovich and Pearson. One‐dimensional theory limitations on jet shape and inertial, gravitational, and surface tension effects are obtained from higher‐order approximations. Similar approaches can be used to analyze fibers having complex rheological behaviors.