Finite difference solution of the nonlinear Cosserat jet equations for a viscous fluid with surface tension
Abstract
A simultaneous finite difference solution of the nonlinear Cosserat fluid jet equations for a semiinfinite jet emanating from a nozzle is presented. The problem is treated as a time dependent one with a small amplitude periodic excitation of the velocity at the nozzle. Solutions for the jet radius and velocity are computed until the radius becomes zero or the absolute value of the velocity exceeds a chosen maximum value. It is shown that when the dimensionless frequency of the excitation is less than one the generated wave grows in amplitude until it finally breaks up the jet at a definite point downstream. The breakoff point depends on the frequency and amplitude of the excitation, the jet velocity, and the viscosity of the fluid. When the frequency of excitation is more than one the disturbance is stable and therefore no jet breakup occurs. Even for the unstable frequencies of excitation is less than one, high viscosity can appreciably damp out the growth of the disturbance.
 Publication:

Ph.D. Thesis
 Pub Date:
 1979
 Bibcode:
 1979PhDT.......140S
 Keywords:

 Finite Difference Theory;
 Fluid Mechanics;
 Interfacial Tension;
 Viscosity;
 Excitation;
 Frequency Stability;
 Viscous Flow;
 Fluid Mechanics and Heat Transfer