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

✖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 [S]			+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%

✖Deepwater Wave Height is the vertical distance between the crest (highest point) and the trough (lowest point) of a wave in deep water.ⓘ Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula [H_d]

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

STEP 0: Pre-Calculation Summary

Formula Used

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)))
H_d = sqrt(S/(0.014*C_o*K_r^2*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

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.
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 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

Total Littoral Transport: 0.00386 --> 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

H_d = sqrt(S/(0.014*C_o*K_r^2*sin(φ_br)*cos(φ_br))) --> sqrt(0.00386/(0.014*4.5*0.1^2*sin(0.785398163397301)*cos(0.785398163397301)))

Evaluating ... ...

H_d = 3.50056684752173

STEP 3: Convert Result to Output's Unit

3.50056684752173 Meter --> No Conversion Required

FINAL ANSWER

3.50056684752173 ≈ 3.500567 Meter <-- Deepwater Wave Height

(Calculation completed in 00.004 seconds)

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

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< Sediment Transport along Coasts Calculators

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

LaTeX 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

LaTeX 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 Entire Breaker Zone in CERC Formula

LaTeX 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

LaTeX 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)

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

LaTeX Go

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

Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula calculator uses 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))) to calculate the Deepwater Wave Height, The Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula is defined as the result of the total littoral transport across the entire breaker zone, encompassing the movement of sediment along the shoreline in wave action. Deepwater Wave Height is denoted by H_d symbol.

How to calculate Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula using this online calculator? To use this online calculator for Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula, enter Total Littoral Transport (S), Deepwater Wave Celerity (C_o), Refraction Coefficient (K_r) & Angle of Wave Incidence (φ_br) and hit the calculate button. Here is how the Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula calculation can be explained with given input values -> 6 = sqrt(0.00386/(0.014*4.5*0.1^2*sin(0.785398163397301)*cos(0.785398163397301))).

FAQ

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

The Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula is defined as the result of the total littoral transport across the entire breaker zone, encompassing the movement of sediment along the shoreline in wave action and is represented as H_d = sqrt(S/(0.014*C_o*K_r^2*sin(φ_br)*cos(φ_br))) or 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))). 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 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 Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula?

The Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula is defined as the result of the total littoral transport across the entire breaker zone, encompassing the movement of sediment along the shoreline in wave action is calculated using 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))). To calculate Wave Height in Deepwater given Total Littoral Transport in Entire Breaker Zone in CERC Formula, you need Total Littoral Transport (S), 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 Total Littoral Transport, 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.

How many ways are there to calculate Deepwater Wave Height?

In this formula, Deepwater Wave Height uses Total Littoral Transport, Deepwater Wave Celerity, Refraction Coefficient & Angle of Wave Incidence. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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