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

✖The Total Littoral Transport in cubic meter per year is the sum of the absolute values of transport of non-cohesive sediments in the littoral zone along shoreline mainly due to breaking waves.ⓘ Total Littoral Transport in cubic meter per year [S']			+10% -10%
✖Wave Height in Deep Water is the vertical distance between the crest (highest point) and the trough (lowest point) of a wave in deep water considered to be water deeper than 1/2 surface wavelength.ⓘ Wave Height in Deep Water [H_o]			+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%
✖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%

✖Refraction Coefficient when waves approach a plane base travelling from deep water into shallow water.ⓘ Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone in m3 per Year [K_r]

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Formula

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

Formula

`"K"_{"r"} = sqrt("S'"/((0.44*10^6)*"H"_{"o"}^2*"C"_{"o"}*sin("φ"_{"br"})*cos("φ"_{"br"})))`

Example

`"0.100015"=sqrt("2E^7"/((0.44*10^6)*("44.94m")^2*"4.5m/s"*sin("45°")*cos("45°")))`

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

STEP 0: Pre-Calculation Summary

Formula Used

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)))
K_r = sqrt(S'/((0.44*10^6)*H_o^2*C_o*sin(φ_br)*cos(φ_br)))
This formula uses 3 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)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Refraction Coefficient - Refraction Coefficient when waves approach a plane base travelling from deep water into shallow water.
Total Littoral Transport in cubic meter per year - The Total Littoral Transport in cubic meter per year is the sum of the absolute values of transport of non-cohesive sediments in the littoral zone along shoreline mainly due to breaking waves.
Wave Height in Deep Water - (Measured in Meter) - Wave Height in Deep Water is the vertical distance between the crest (highest point) and the trough (lowest point) of a wave in deep water considered to be water deeper than 1/2 surface wavelength.
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.
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

Total Littoral Transport in cubic meter per year: 20000000 --> No Conversion Required
Wave Height in Deep Water: 44.94 Meter --> 44.94 Meter No Conversion Required
Deepwater Wave Celerity: 4.5 Meter per Second --> 4.5 Meter per Second No Conversion Required
Angle of Wave Incidence: 45 Degree --> 0.785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_r = sqrt(S'/((0.44*10^6)*H_o^2*C_o*sin(φ_br)*cos(φ_br))) --> sqrt(20000000/((0.44*10^6)*44.94^2*4.5*sin(0.785398163397301)*cos(0.785398163397301)))

Evaluating ... ...

K_r = 0.100014814191254

STEP 3: Convert Result to Output's Unit

0.100014814191254 --> No Conversion Required

FINAL ANSWER

0.100014814191254 ≈ 0.100015 <-- Refraction Coefficient

(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg

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National Institute of Technology (NIT), Warangal

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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

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

Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone in m3 per Year calculator uses 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))) to calculate the Refraction Coefficient, Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone in m3 per Year formula is defined as waves approaching plane beach travelling from deep water into shallow water. Refraction Coefficient is denoted by K_r symbol.

How to calculate Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone in m3 per Year using this online calculator? To use this online calculator for Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone in m3 per Year, enter Total Littoral Transport in cubic meter per year (S'), Wave Height in Deep Water (H_o), Deepwater Wave Celerity (C_o) & Angle of Wave Incidence (φ_br) and hit the calculate button. Here is how the Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone in m3 per Year calculation can be explained with given input values -> 0.100015 = sqrt(20000000/((0.44*10^6)*44.94^2*4.5*sin(0.785398163397301)*cos(0.785398163397301))).

FAQ

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

Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone in m3 per Year formula is defined as waves approaching plane beach travelling from deep water into shallow water and is represented as K_r = sqrt(S'/((0.44*10^6)*H_o^2*C_o*sin(φ_br)*cos(φ_br))) or 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))). The Total Littoral Transport in cubic meter per year is the sum of the absolute values of transport of non-cohesive sediments in the littoral zone along shoreline mainly due to breaking waves, Wave Height in Deep Water is the vertical distance between the crest (highest point) and the trough (lowest point) of a wave in deep water considered to be water deeper than 1/2 surface wavelength, Deepwater Wave Celerity is the speed at which an individual wave advances or propagates occurring or existing in water of great depth & 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 Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone in m3 per Year?

Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone in m3 per Year formula is defined as waves approaching plane beach travelling from deep water into shallow water is calculated using 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))). To calculate Refraction Coefficient at Breaker Line given Total Littoral Transport in Breaker Zone in m3 per Year, you need Total Littoral Transport in cubic meter per year (S'), Wave Height in Deep Water (H_o), Deepwater Wave Celerity (C_o) & Angle of Wave Incidence (φ_br). With our tool, you need to enter the respective value for Total Littoral Transport in cubic meter per year, Wave Height in Deep Water, Deepwater Wave Celerity & 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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