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Waves
Energy transmitted
through matter BUT no transport of matter !
-
Period
(t):
time that one wavelength (l)
needs to pass one point [s]
-
Frequency
(n):
number of wavelengths per unit time = 1 / t
[s-1]
-
Wave speed
(v): distance a wave point travels per unit time [m s-1]
-
Deep-water
waves, z > ½ l
--> v = l /
t
-
Shallow-water
waves, z < 1/20 l
--> v = 3.1 x SquareRoot(z)
Making waves...
-
Wind deforms
water surface and creates small ripples (Wavelength l
< 1.7 cm; capillary
waves)
-
Ripples
offer more troughs to catch wind, more energy is transferred into the water
-
Bigger
waves with l
> 1.7 cm develop – gravity
waves
-
Wind energy
increases wave height, length, speed
-
Wave height
increases faster than wave length, crests become pointed and troughs rounded;
if wind speed = wave speed, then no net energy exchange, wave has reached
maximum size and speed
-
Waves
break in open ocean when steepness = height/wave length = 1/7
-
Factors
that determine wave energy: (a) wind speed; (b) duration of wind; (c) wind
fetch = distance of water over which wind blows in the same direction
Orbital movements
in waves

-
Deep water:
orbital movement stops at z = ½ l,
particle movement decreases exponentially with depth
-
Shallow
water: particles move on very flat ellipses.
Particle movement remains the same over the entire water depth

Swell
-
Long waves
move out and ahead of storm area
-
Their
speed is faster than wind speed outside the storm area
-
Wave steepness
decreases: swell
-
Run over
long distance with minimum energy loss
-
Eventually
form groups or trains of waves, which travel at ½ speed of individual
waves
-
Because
it takes time and energy to cause the water to oscillate, the first wave
disappears but new wave forms at the end of group
Refraction
-
Waves
slow down when they come in contact with bottom
-
If waves
arrive at an angle different of 90°, the near-shore part ‘feels’
bottom first and slows down
-
Thereby,
wave fronts turn towards the coast and all waves arrive 90°
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