ocean waves

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OceanWaves

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OceanWaves

Kinematic Viscosity of Sea

Water

Density of Fresh and Sea

Water

Distribution of Wind Speed

Wind Speed – Beaufort

Number

Wave Generation

Of the momentum transformed from wind to

water 97% go to the surface layer producing

surface currents. The remaining energy is

transferred to water surface creating waves

Gentle breeze creates ripples which provide

rough surface allowing wind to move water

If the wind dies ripples disappear quickly

If the wind continues, these are gradually

transformed to larger waves

Wave generation (contd.)

Newly formed waves are generally short and

choppy providing a roughened water surface for more energy to be transferred to water. These

waves are steep which slowly change to smooth

waves of larger length depending on steady wind

blowing over a long period over large body of

water.

Wave generation (contd.)

The wave size depends on

Wind speed

wind direction

time that the wind blows

fetch (distance over which wind

blows in a constant direction)

Sea State

Wave generation (contd.)

Waves break when height to length of wave ratio

reaches 1:7

Ocean waves reach maximum size when these can not accept more energy from wind. The sea

is then said to be fully developed (FDS) when it

can accept no more energy and thus waves

break. The energy supplied by the wind is equal to

the energy lost by breaking waves.

Wave generation (contd.)

As sea develops wave length and speed increase

and slope reduces. Eventually waves travel out of the wind area and these are called swells. Long

period swells travel long distances without loosing

energy (amplitude)

Waves in Shallow waterAs deep water waves move towards the coast they come to shallow water zone, become shorter and slower and steeper and ultimately break. Deep water waves move faster towards the coast compared to the waves in shallower regions. This interaction leads to the breaking waves being parallel to coastline irrespective of wave direction in deep water

Isobar (Surface Wave) elevation

(i) General

(ii) In deep water, h>>0 and z>= 0

(iii) In deep water on surface, z=0

Regular sine wave in

Deep water

tkxtx a ,

Regular Wave –

contours of equal pressure

tkxetxh

a

0

2

,

( )w

a

P H a f x dx

iii

i

ai

i

i txktx

cos,11

22

4

1,

4

1apak gEgE

2

2

1

2a

pkg

EEE

ii

i

ii

i

w

ai

w

ai ggE

22

2

1

2

1

21

2( )

i

i

ai

iS

21( )

2i aiS d

0

( )nnm S d

0 2

0

0, ( ) (var )nFor n wehave m S d ianceof

2 2

0

2, ( ) (var )nFor n wehave m S d ianceof

4 2

0

4, ( ) (var )nFor n wehave m S d ianceof

010/1

031

0

1.5

0.4

5.2

mh

mh

mh

So,

Average Wave Height: ĥ

Significant Wave Height (Average of highest 1/3 wave heights): h⅓

Average of highest 1/10 wave hts:

h1/10

Effects of waves on ship

operation

Motions – discomfort

Slamming

Green sea on board

Speed loss

Mechanical failure

Instantaneous loss of stability

Structural stresses and vibration