5. 7 Wind Wave Transformation in Cross-Velocity Shear Current
213
- - 1
0.5
60°
---2
..•.... J
2
4
6
8
10
8
6
4
2 V/V0
b)
J00°,JJ0°
330°
1.0
/
·.::.·:.:.: ······ -----=-~
300°
0.5
300°
J
5
7
9
ff
9
7
5
J V/Vo
Fig. 5.25. Transformation of relative wave elements in shear horizontally nonuniform current, depending on current velocity for initial general wave directions of 30° and 60° (a) and for initial general wave directions of 300° and 330°
(b): 1- height h; 2- period 7; 3- length 5.
90°
- 60
-60°
30
30°
I
I
I
J
3
5
7
9
9
7
5
3 V/V0
-30
330°
-
-60
-300°
Fig. 5.26. Variation of general wave direction in shear horizontally non-uniform
current for different initial angle values f3o: 30, 60, 300, 330°
(X)
7t
CXJ 7{
h2 = _1_ j j F (k, {3) dk df3 = j j 15 (ko- k8) 15 (f3o- f38~ df3 dk
2nmo
(
fk . ( ))
o -n
o -n 1 - ~ V V 9 sm f3
oo n
= J J 15[ arcsin ( k /kosin ({3) - f3g)]
0 -n
(5.93)