Numerical solution of a Newtonian jet emanating from a converging channel
Abstract
A theoretical analysis is carried out to find the shape and final thickness of a Newtonian jet emanating from a converging channel. The gravitational force is neglected but the surface tension effect is included. There are four variables, the contraction ratio L, the converging angle, the Reynolds number Re and the capillary number Ca, that completely determine the flow field. The effects of these four variables on the motion of the jet are examined. The finite difference method is applied to solve the flow equations in the transformed plane. We have found that the final thickness of the jet will reach its frozen value as L is greater than 15. As Re is greater than 50, the jet contraction coefficient is very close to that of a potential Helmholtz jet. Surface tension is only important if Re is small. The jet contraction coefficients as functions of Re and converging angle are presented. We have also found that a vortex may exist in the converging channel if the converging angle is greater than 75 deg.
 Publication:

Computers and Fluids
 Pub Date:
 October 1992
 Bibcode:
 1992CF.....21..537Y
 Keywords:

 Computational Fluid Dynamics;
 Flow Distribution;
 Jet Flow;
 Newtonian Fluids;
 Reynolds Number;
 Boundary Conditions;
 Channel Flow;
 Interfacial Tension;
 NavierStokes Equation;
 Stream Functions (Fluids);
 Fluid Mechanics and Heat Transfer