A study of a three dimensional free jet using the vorticity/vector potential method
Abstract
A finitedifference solution has been obtained of the problem of a free jet issuing from a square nozzle into a slower parallel stream. The flow is threedimensional, steady, incompressible, and laminar and the flow domain is unbounded. The main purpose of the paper is to describe and discuss the vorticity/vector potential method, in which the NavierStokes and continuity equations are converted into three equations for the components of the vorticity vector. The velocity components are obtained by differentiation of the components of the vector and scalar potentials, which are found by solving three Poisson equations and a Laplace equation respectively.
 Publication:

Numerical Methods in Fluid Dynamics
 Pub Date:
 1975
 DOI:
 10.1007/BFb0019739
 Bibcode:
 1975LNP....35..125D
 Keywords:

 Finite Difference Theory;
 Free Jets;
 Nozzle Flow;
 Three Dimensional Flow;
 Vector Analysis;
 Vorticity Equations;
 Boundary Value Problems;
 Continuity Equation;
 Flow Velocity;
 Incompressible Flow;
 Laminar Flow;
 Laplace Equation;
 NavierStokes Equation;
 Nozzle Geometry;
 Parallel Flow;
 Poisson Equation;
 Potential Theory;
 Fluid Mechanics and Heat Transfer