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Stokes criterion worksheet

Example:     tex2html_wrap_inline695 ,    T=10sec

tex2html_wrap_inline699

Need to plot   tex2html_wrap_inline701   and  C  w.r.t.  d

eqnarray283

For d=5ft

tex2html_wrap_inline709

tex2html_wrap_inline711

tex2html_wrap_inline713

tex2html_wrap_inline715

In order to guess range of d assume shallow water: tex2html_wrap_inline717

Then:       tex2html_wrap_inline719      shallow water

tex2html_wrap737

unrealistic situation!

However let's continue calculation to determine d and breaker height H.

   eqnarray328

tex2html_wrap_inline725

tex2html_wrap_inline727 (deep water),       tex2html_wrap_inline729 (shallow water)

  eqnarray344

  eqnarray356

tex2html_wrap_inline731

  eqnarray370

Replacing (41) in (40) and rearranging gives:

tex2html_wrap_inline733 or

  eqnarray388

( tex2html_wrap_inline735 =H at breaking)



Soon Woong Chang
Fri Oct 22 11:39:22 CDT 1999