Total Littoral Transport in Entire Breaker Zone in CERC Formula Calculator

✖Deepwater Wave Height is the vertical distance between the crest (highest point) and the trough (lowest point) of a wave in deep water.ⓘ Deepwater Wave Height [H_d]			+10% -10%
✖Deepwater Wave Celerity is the speed at which an individual wave advances or propagates occurring or existing in water of great depth.ⓘ Deepwater Wave Celerity [C_o]			+10% -10%
✖Refraction Coefficient when waves approach a plane base travelling from deep water into shallow water.ⓘ Refraction Coefficient [K_r]			+10% -10%
✖Angle of Wave Incidence is the angle between the wave propagation direction and the normal to the coastline or the angle between the wavefront and the coastline.ⓘ Angle of Wave Incidence [φ_br]			+10% -10%

✖Total Littoral Transport in the entire Breaker Zone is the transport of non-cohesive sediments in the littoral zone along shoreline mainly due to breaking waves.ⓘ Total Littoral Transport in Entire Breaker Zone in CERC Formula [S]

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Total Littoral Transport in Entire Breaker Zone in CERC Formula

Formula

`"S" = 0.014*"H"_{"d"}^2*"C"_{"o"}*"K"_{"r"}^2*sin("φ"_{"br"})*cos("φ"_{"br"})`

Example

`"0.003859"=0.014*("3.5m")^2*"4.5m/s"*("0.1")^2*sin("45°")*cos("45°")`

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Total Littoral Transport in Entire Breaker Zone in CERC Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Littoral Transport = 0.014*Deepwater Wave Height^2*Deepwater Wave Celerity*Refraction Coefficient^2*sin(Angle of Wave Incidence)*cos(Angle of Wave Incidence)
S = 0.014*H_d^2*C_o*K_r^2*sin(φ_br)*cos(φ_br)
This formula uses 2 Functions, 5 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Total Littoral Transport - Total Littoral Transport in the entire Breaker Zone is the transport of non-cohesive sediments in the littoral zone along shoreline mainly due to breaking waves.
Deepwater Wave Height - (Measured in Meter) - Deepwater Wave Height is the vertical distance between the crest (highest point) and the trough (lowest point) of a wave in deep water.
Deepwater Wave Celerity - (Measured in Meter per Second) - Deepwater Wave Celerity is the speed at which an individual wave advances or propagates occurring or existing in water of great depth.
Refraction Coefficient - Refraction Coefficient when waves approach a plane base travelling from deep water into shallow water.
Angle of Wave Incidence - (Measured in Radian) - Angle of Wave Incidence is the angle between the wave propagation direction and the normal to the coastline or the angle between the wavefront and the coastline.

STEP 1: Convert Input(s) to Base Unit

Deepwater Wave Height: 3.5 Meter --> 3.5 Meter No Conversion Required
Deepwater Wave Celerity: 4.5 Meter per Second --> 4.5 Meter per Second No Conversion Required
Refraction Coefficient: 0.1 --> No Conversion Required
Angle of Wave Incidence: 45 Degree --> 0.785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = 0.014*H_d^2*C_o*K_r^2*sin(φ_br)*cos(φ_br) --> 0.014*3.5^2*4.5*0.1^2*sin(0.785398163397301)*cos(0.785398163397301)

Evaluating ... ...

S = 0.00385875

STEP 3: Convert Result to Output's Unit

0.00385875 --> No Conversion Required

FINAL ANSWER

0.00385875 ≈ 0.003859 <-- Total Littoral Transport

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Shore Protection » Sediment Transport along Coasts » Total Littoral Transport in Entire Breaker Zone in CERC Formula

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Coorg Institute of Technology (CIT), Coorg

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< 8 Sediment Transport along Coasts Calculators

Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone in m3 per Year

Go Refraction Coefficient = sqrt(Total Littoral Transport in cubic meter per year/((0.44*10^6)*Wave Height in Deep Water^2*Deepwater Wave Celerity*sin(Angle of Wave Incidence)*cos(Angle of Wave Incidence)))

Wave Height in Deepwater for Total Littoral Transport in Breaker Zone in Cubic Meter per Year

Go Wave Height in Deep Water = sqrt(Total Littoral Transport in cubic meter per year/((0.44*10^6)*Deepwater Wave Celerity*Refraction Coefficient^2*sin(Angle of Wave Incidence)*cos(Angle of Wave Incidence)))

Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula

Go Deepwater Wave Height = sqrt(Total Littoral Transport/(0.014*Deepwater Wave Celerity*Refraction Coefficient^2*sin(Angle of Wave Incidence)*cos(Angle of Wave Incidence)))

Wave Speed in Deepwater for Total Littoral Transport in Breaker Zone in Cubic Meter per Year

Go Deepwater Wave Celerity = Total Littoral Transport in cubic meter per year/((0.44*10^6)*Wave Height in Deep Water^2*Refraction Coefficient^2*sin(Angle of Wave Incidence)*cos(Angle of Wave Incidence))

Wave Speed in Deepwater for Total Littoral Transport in Entire Breaker Zone in CERC Formula

Go Deepwater Wave Celerity = (Total Littoral Transport/(0.014*Deepwater Wave Height^2*Refraction Coefficient^2*sin(Angle of Wave Incidence)*cos(Angle of Wave Incidence)))

Total Littoral Transport in Entire Breaker Zone in CERC Formula

Go Total Littoral Transport = 0.014*Deepwater Wave Height^2*Deepwater Wave Celerity*Refraction Coefficient^2*sin(Angle of Wave Incidence)*cos(Angle of Wave Incidence)

Deepwater Wave Height for Total Transport

Go Deepwater Wave Height = sqrt(Total Littoral Transport in cubic meter per year/(1.65*10^6))

Total Transport given by Galvin

Go Total Littoral Transport in cubic meter per year = (1.65*10^6)*Deepwater Wave Height^2

Total Littoral Transport in Entire Breaker Zone in CERC Formula Formula

What is Littoral Zone Drift?

Littoral drift is the name given to the longshore transport of material, under the action of waves and currents: the movement occurring along or near the foreshore. It is deliberately treated separately from marine sediment transport.

How to Calculate Total Littoral Transport in Entire Breaker Zone in CERC Formula?

Total Littoral Transport in Entire Breaker Zone in CERC Formula calculator uses Total Littoral Transport = 0.014*Deepwater Wave Height^2*Deepwater Wave Celerity*Refraction Coefficient^2*sin(Angle of Wave Incidence)*cos(Angle of Wave Incidence) to calculate the Total Littoral Transport, The Total Littoral Transport in Entire Breaker Zone in CERC Formula is defined as the term used for the transport of non-cohesive sediments, i.e. mainly sand, along the foreshore and the shoreface due to the action of the breaking waves and the longshore current and this littoral transport is also called the longshore transport or the littoral drift. Total Littoral Transport is denoted by S symbol.

How to calculate Total Littoral Transport in Entire Breaker Zone in CERC Formula using this online calculator? To use this online calculator for Total Littoral Transport in Entire Breaker Zone in CERC Formula, enter Deepwater Wave Height (H_d), Deepwater Wave Celerity (C_o), Refraction Coefficient (K_r) & Angle of Wave Incidence (φ_br) and hit the calculate button. Here is how the Total Littoral Transport in Entire Breaker Zone in CERC Formula calculation can be explained with given input values -> 0.003859 = 0.014*3.5^2*4.5*0.1^2*sin(0.785398163397301)*cos(0.785398163397301).

FAQ

What is Total Littoral Transport in Entire Breaker Zone in CERC Formula?

The Total Littoral Transport in Entire Breaker Zone in CERC Formula is defined as the term used for the transport of non-cohesive sediments, i.e. mainly sand, along the foreshore and the shoreface due to the action of the breaking waves and the longshore current and this littoral transport is also called the longshore transport or the littoral drift and is represented as S = 0.014*H_d^2*C_o*K_r^2*sin(φ_br)*cos(φ_br) or Total Littoral Transport = 0.014*Deepwater Wave Height^2*Deepwater Wave Celerity*Refraction Coefficient^2*sin(Angle of Wave Incidence)*cos(Angle of Wave Incidence). Deepwater Wave Height is the vertical distance between the crest (highest point) and the trough (lowest point) of a wave in deep water, Deepwater Wave Celerity is the speed at which an individual wave advances or propagates occurring or existing in water of great depth, Refraction Coefficient when waves approach a plane base travelling from deep water into shallow water & Angle of Wave Incidence is the angle between the wave propagation direction and the normal to the coastline or the angle between the wavefront and the coastline.

How to calculate Total Littoral Transport in Entire Breaker Zone in CERC Formula?

The Total Littoral Transport in Entire Breaker Zone in CERC Formula is defined as the term used for the transport of non-cohesive sediments, i.e. mainly sand, along the foreshore and the shoreface due to the action of the breaking waves and the longshore current and this littoral transport is also called the longshore transport or the littoral drift is calculated using Total Littoral Transport = 0.014*Deepwater Wave Height^2*Deepwater Wave Celerity*Refraction Coefficient^2*sin(Angle of Wave Incidence)*cos(Angle of Wave Incidence). To calculate Total Littoral Transport in Entire Breaker Zone in CERC Formula, you need Deepwater Wave Height (H_d), Deepwater Wave Celerity (C_o), Refraction Coefficient (K_r) & Angle of Wave Incidence (φ_br). With our tool, you need to enter the respective value for Deepwater Wave Height, Deepwater Wave Celerity, Refraction Coefficient & Angle of Wave Incidence and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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