Fluid flow into a curved pipe
Abstract
The paper examines the steady laminar flow of an incompressible fluid through a circular pipe that is initially straight but at some point starts curving along the arc of a circle. Bending of the pipe promotes a gradual development of a secondary flow normal to the pipe axis. The Reynolds number and curvature are large and small, respectively, and the Dean number is taken as finite. Core flow is found to persist in the axial direction until the bending starts, after which it drifts virtually straight across the curved tube. The threedimensional boundary layer provoked near the wall is of a jetlike nature in its return motion, and it first develops before the bending is reached.
 Publication:

Proceedings of the Royal Society of London Series A
 Pub Date:
 October 1976
 DOI:
 10.1098/rspa.1976.0130
 Bibcode:
 1976RSPSA.351...71S
 Keywords:

 Incompressible Flow;
 Laminar Flow;
 Pipe Flow;
 Steady Flow;
 Core Flow;
 Flow Equations;
 Flow Geometry;
 Reynolds Number;
 Three Dimensional Boundary Layer;
 Fluid Mechanics and Heat Transfer