Computation of viscous flow in planar and axisymmetric ducts by an implicit marching procedure
Abstract
A streamwise marching procedure, approximately 200 times faster than a full NavierStokes procedure with comparable accuracy, is presented for solving problems of compressible viscous subsonic flow. Results are presented and compared with experimental data for the cases of developing turbulent flow in a circular pipe; turbulent flow in a twodimensional Sduct; and turbulent flow in a typical subsonic diffuser. Prior to each main marching step, a preliminary marching step is taken in which the integral continuity equation and an uncoupled form of the streamwise momentum equation are solved simultaneously to obtain the viscous pressure correction. During the main marching step the equations for continuity, streamwise momentum, crossflow momentum, and energy are solved simultaneously as a coupled system using an implicit finitedifference method, with the viscous pressure correction treated as a source term. The analysis may be used for flows with both favorable and adverse pressure gradients and to predict the location of flow separation.
 Publication:

AIAA, Aerospace Sciences Meeting
 Pub Date:
 January 1984
 Bibcode:
 1984aiaa.meetS....T
 Keywords:

 Axisymmetric Flow;
 Computational Fluid Dynamics;
 Ducted Flow;
 Time Marching;
 Turbulent Flow;
 Viscous Flow;
 Boundary Layer Equations;
 Compressible Flow;
 Finite Difference Theory;
 Planar Structures;
 Subsonic Flow;
 Fluid Mechanics and Heat Transfer