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Re: Air Resistance



At 05:51 12/11/97 -0800, John Mallinckrodt wrote:
On Wed, 10 Dec 1997, LUDWIK KOWALSKI wrote:

The reference for the empirical formula: "Analytical Mechanics" by
G.R. Fowles and G.L. Cassiday, Fifth Edition, 1993, page 62. It is the
usual c1*v+C2*v^2 description. For a sphere of diameter D the empirical
values are: c1=1.55*10^-4*D and c2=0.22*D^2, all in SI units.

It's worth noting that the empirical formula implies that quadratic drag
becomes dominant at speeds greater than (7 x 10^-4)/D (in SI units). For
Ludwik's basketball this is about 3 mm/s, about 600 times less than the
smallest velocity reported. ...
A. John Mallinckrodt

There is a helpful plot in EncBrit 15th ed. given in Streeter's article,
Mechanics, Fluid Macropaedia Vol 11, p791 under the Drag heading.
This shows the drag of spheres.

This is cast in the usual aerodynamic terms - a log/log plot of Drag
Coefficient vs. Reynold's Number.
This seems to show that the sphere used in our experiment is beginning to
experience steeply reducing drag with the transition from laminar flow to
a turbulent boundary layer. Golf, anyone?

Sincerely

brian whatcott <inet@intellisys.net>
Altus OK