Axial flow past a cylinder with uniform injection
Abstract
An analytical investigation of the injection of fluid into the axial flow past a cylinder is presented. The boundarylayer equations of the flow are derived and solved by a similarity approximation for cases in which m (the injection Reynolds number referred to cylinder radius) = 1 and for those with m much greater than 1. The solutions are shown to be valid at sufficiently large axial distances from the cylinder nose. The wall shear stress is found to be greatly reduced by injection at m = 1, whereas for m much greater than 1 the flow splits into a thick region of radial flow and a thin axially symmetrical shear layer with a shear stress at the cylinder of about zero. The possible implications of these calculations for heatexchange reduction during spacecraft reentry are indicated.
 Publication:

Zeitschrift Angewandte Mathematik und Mechanik
 Pub Date:
 1983
 DOI:
 10.1002/zamm.19830630809
 Bibcode:
 1983ZaMM...63..391C
 Keywords:

 Axial Flow;
 Fluid Injection;
 Reentry Physics;
 Spacecraft Reentry;
 Boundary Layer Equations;
 Cylinders;
 Equations Of Motion;
 Reynolds Number;
 Fluid Mechanics and Heat Transfer