424
CHAPTER 7. LABORATORY WAVE GENERATI01
velocity. This term is expressed in dimensionless form by the complicate<
function
F12 h = K
In '
7m i .
(7.255
with
akjh2(l 4- l/h)
K
[akjhfl + l/h)sinh(akjh) — cosh(crfcyh) 4- 0'](fn/fm + 1)
where /?z is given by Eqn. 7.253.
The function Im contained in Eqn. 7.255 is given below, and the function
In is the same except the subscript n replaces m.
k h
Im = o'm
+ Qm + 74n)
(7.257)
2smh(£m/i)
The functions Pm, Qm, and Rm (or Pn, Qn, and Rn with subscripts
changed) in Eqn. 7.257 are given below
sinh[fcm + akf)h] 4- <$i
sinh[(^m - akf)h] + i2
2(kmh + akjh)
2(kmh — ffkfh)
71 - coshffcm 4- akf)h]
y2 — cosh[(fcm —
cosh
A — 1) — akjh sinh kmh sinh akjh
~
kmh(l+l/h)(k^-ak]h^)
(7.260)
In Eqn. (.258, 6i and 82 are determined according to the wave board
type using the equations
«1 =
0
for I > 0
ii = sinh[(£„i 4- a£y)/] for Z < 0
(7.261)
h =
0
for I > 0
62 = sinh^t^ — akf)l ] for Z < 0
(7.262)
CHAPTER 7. LABORATORY WAVE GENERATI01
velocity. This term is expressed in dimensionless form by the complicate<
function
F12 h = K
In '
7m i .
(7.255
with
akjh2(l 4- l/h)
K
[akjhfl + l/h)sinh(akjh) — cosh(crfcyh) 4- 0'](fn/fm + 1)
where /?z is given by Eqn. 7.253.
The function Im contained in Eqn. 7.255 is given below, and the function
In is the same except the subscript n replaces m.
k h
Im = o'm
+ Qm + 74n)
(7.257)
2smh(£m/i)
The functions Pm, Qm, and Rm (or Pn, Qn, and Rn with subscripts
changed) in Eqn. 7.257 are given below
sinh[fcm + akf)h] 4- <$i
sinh[(^m - akf)h] + i2
2(kmh + akjh)
2(kmh — ffkfh)
71 - coshffcm 4- akf)h]
y2 — cosh[(fcm —
cosh
A — 1) — akjh sinh kmh sinh akjh
~
kmh(l+l/h)(k^-ak]h^)
(7.260)
In Eqn. (.258, 6i and 82 are determined according to the wave board
type using the equations
«1 =
0
for I > 0
ii = sinh[(£„i 4- a£y)/] for Z < 0
(7.261)
h =
0
for I > 0
62 = sinh^t^ — akf)l ] for Z < 0
(7.262)