Velocity field expression using discretized distributions of the divergence and vorticity
Abstract
The velocity field of a fluid flow is characterized by divergence (distribution of the source) and distribution of vorticity. This paper attempts to find an expression for the velocity field induced by divergence and vorticity associated with elements of different shapes: straight line segments or triangles, as well as with periodic distributions of these elements, thus extending the formulation to the case of blade cascades. An integrodifferential method is used to solve the divergence and vorticity equations for viscous incompressible flow, inviscid compressible irrotational flow and compressible viscous flow.
 Publication:

Mechanics Research Communications
 Pub Date:
 1976
 Bibcode:
 1976MeReC...3..157C
 Keywords:

 Compressible Flow;
 Divergence;
 Flow Velocity;
 Incompressible Flow;
 Potential Flow;
 Velocity Distribution;
 Vorticity;
 Cascade Flow;
 Differential Equations;
 Integral Equations;
 Inviscid Flow;
 Viscous Flow;
 Fluid Mechanics and Heat Transfer