Numerical investigation of the onset of separation of an incompressible viscous flow from objects in ducts
Abstract
Simulation has been used to investigate the phenomenon of separation of a steady flow of an incompressible viscous fluid from a symmetric object in a duct. Two essentially twodimensional problems were studied: (1) an elliptical cylinder located between two parallel plates, and (2) a sphere placed on the axis of a cylindrical pipe. The steadystate vorticity transport equation and the second order differential equation relating vorticity and the stream function were iterated using the method of overrelaxation to obtain a solution for each set of initial conditions. The relationship between the Reynolds number corresponding to the onset of separation and the size of the object relative to the duct was found to be linear over a wide range.
 Publication:

Summer Computer Simulation Conference
 Pub Date:
 1980
 Bibcode:
 1980cosi.conf..302W
 Keywords:

 Computational Fluid Dynamics;
 Ducted Flow;
 Incompressible Flow;
 Separated Flow;
 Steady Flow;
 Viscous Flow;
 Differential Equations;
 Duct Geometry;
 Elliptical Cylinders;
 Parallel Plates;
 Pipes (Tubes);
 Reynolds Number;
 Spheres;
 Vorticity;
 Fluid Mechanics and Heat Transfer