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Proof of expression for tex2html_wrap_inline516 in 2-D (for Cylinder)

tex2html_wrap579

As shown previously: (Now U is a function of t)

eqnarray162

If p is the pressure on the surface of the cylinder, then:

eqnarray166

We decompose: tex2html_wrap_inline569 , where tex2html_wrap_inline527 =steady flow pressure and P' unsteady pressure.

eqnarray174

We get that tex2html_wrap_inline575

The inertia force (per unit depth):

eqnarray183

eqnarray186

eqnarray196

tex2html_wrap_inline577 =2 or K=1 for cylinder in 2-D



Soon Woong Chang
Wed Oct 27 18:58:11 CDT 1999