Development of a threedimensional turbulent duct flow analysis
Abstract
A method for computing threedimensional turbulent subsonic flow in curved ducts is described. An approximate set of governing equations is given for viscous flows which have a primary flow direction. The derivation is coordinate invariant, and the resulting equations are expressed in terms of tensors. General tubelike coordinates were developed for a general class of geometries applicable to many internal flow problems. The coordinates are then particularized to pipes having superelliptic cross sections whose shape can vary continuously between a circle and a near rectangle. The analysis is applied to a series of relevant aerodynamic problems including transition from nearly square to round pipes and flow through a pipe with an Sshaped bend.
 Publication:

Final Report United Technologies Research Center
 Pub Date:
 November 1978
 Bibcode:
 1978utrc.rept.....E
 Keywords:

 Ducted Flow;
 NavierStokes Equation;
 Three Dimensional Flow;
 Turbulent Flow;
 Curvature;
 Flow Equations;
 Flow Geometry;
 Viscous Flow;
 Fluid Mechanics and Heat Transfer