Page:Aerial Flight - Volume 1 - Aerodynamics - Frederick Lanchester - 1906.djvu/123

This page has been proofread, but needs to be validated.
HYDRODYNAMIC THEORY.
§ 79

proceeding in the manner laid down by Rankine for a solid of revolution.[1]

§ 79. Typical Cases constituting Solutions to the Equations of Motion.—Some typical cases of stream-line flow constituting the
Fig. 45.
solution to the equations of motion, for the forms of body specified, are given in Figs. 44 (cylinder), 45 (sphere), and 46 (elliptical cylinder).
Fig. 46.
It is scarcely necessary to remark that these forms of flow do not hold good for actual fluids.

In Fig. 47 are plotted the lines of flow for a lamina of infinite

  1. “Principles Relating to Stream Lines,” The Engineer, October 16, 1868.

103