A numerical analysis of flow using streamline coordinates  The case of twodimensional steady incompressible flow
Abstract
The basic equations for a twodimensional steady incompressible flow are derived using streamline coordinates. A twodimensional liquid jet flow from a channel with parallel walls is considered as a numerical example. The basic equations are solved by a finitedifference method. The calculations indicate that: (1) the technique is very useful for flows with free surfaces; (2) the basic equations are simplified when the configuration of streamlines can be approximated before calculation; (3) for jet flow from a channel with parallel walls the flow is not affected by downstream conditions for a Reynolds number greater than 1000; and (4) for a Reynolds number greater than 100, jet width becomes constant further downstream than at a distance equal to one quarter channel width.
 Publication:

JSME International Journal Series B
 Pub Date:
 November 1982
 Bibcode:
 1982JSMEB..25.1696T
 Keywords:

 Computational Fluid Dynamics;
 Incompressible Flow;
 Laminar Flow;
 Numerical Analysis;
 Steady Flow;
 Two Dimensional Flow;
 Channel Flow;
 Finite Difference Theory;
 Flow Equations;
 Fluid Mechanics;
 Jet Flow;
 Reynolds Number;
 Fluid Mechanics and Heat Transfer