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CHAPTER 7. LABORATORY WAVE GENERATION
Table 7.1: Equations for Two-Dimensional Wavemaker Problem
First-Order Equations
d2i I
_ n
dx2 ' dz2
(in fluid)
(7.15)
= 0
dz
(at z = —h)
(7.17)
&h. + g^l =0
dt2
z dz
(at z — 0)
(7.20/7.22)
(at x = 0)
(7.26)
/( * )
= (1 + w)
(7.28)
Second-Order Equations
d2 2 1 d2 2 _ A
dx2 "T dz2 ~ u
(in fluid)
(7.16)
= 0
dz
(at z = — h)
(7.18)
d22 I
I d3|fo \ _
at2
V dz ~
dz2
dzdt2 J
( di d2^>i ,
d2! \
\ dx dxdt
dz dzdt/
(at z = 0)
(7.21/7.23)
_ f(~\ dXo2
dx ~ J
dt
^01 [f(z) dx2
(/+/l)9z]
(at x = 0)
(7.27)
= (i + 4?)
(7.28)