Flow Around a Spheroid in a Circular Tube

Publisher Website
Google Scholar
Abstract
The problem of the ideal fluid flow around a spheroidal obstacle inside a coaxial cylinder is solved by a slight variation of the method described earlier [W. R. Smythe, Phys. Fluids 4, 756, (1961)]. Errors in the terminal digits of Table I of that paper have been corrected and the table extended. The flow is confined to the space between spheroid and cylinder by thin vortex sheets of variable strength on the spheroid and cylinder surfaces. The vector potential of the flow is expressed in terms of the circulation density on the spheroid surfaces of which tables are given for the disk, oblate spheroid with axial ratio 2 to 1, sphere and prolate spheroid with axial ratio 1 to 2 for equatorial radii 0.1, 0.2, … , 0.95 of the cylinder radius. A table shows the increase in flow resistance due to the insertion of the spheroid in terms of the equivalent additional tube length.

This publication has 5 references indexed in Scilit: