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

STEP 0: Pre-Calculation Summary
Formula Used
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)))
Co = (S/(0.014*Hd^2*Kr^2*sin(φbr)*cos(φbr)))
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
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.
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.
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 Height: 3.5 Meter --> 3.5 Meter 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
Co = (S/(0.014*Hd^2*Kr^2*sin(φbr)*cos(φbr))) --> (0.00386/(0.014*3.5^2*0.1^2*sin(0.785398163397301)*cos(0.785398163397301)))
Evaluating ... ...
Co = 4.50145772594752
STEP 3: Convert Result to Output's Unit
4.50145772594752 Meter per Second --> No Conversion Required
FINAL ANSWER
4.50145772594752 4.501458 Meter per Second <-- Deepwater Wave Celerity
(Calculation completed in 00.020 seconds)

Credits

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Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has created this Calculator and 2000+ more calculators!
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Verified by M Naveen
National Institute of Technology (NIT), Warangal
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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 Speed in Deepwater for Total Littoral Transport in Entire Breaker Zone in CERC Formula 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)))
Co = (S/(0.014*Hd^2*Kr^2*sin(φbr)*cos(φbr)))

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

Wave Speed in Deepwater for Total Littoral Transport in Entire Breaker Zone in CERC Formula calculator uses 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))) to calculate the Deepwater Wave Celerity, The Wave Speed in Deepwater for Total Littoral Transport in Entire Breaker Zone in CERC Formula is defined as the movement of sediment along the shoreline in regions unaffected by the seabed. Deepwater Wave Celerity is denoted by Co symbol.

How to calculate Wave Speed in Deepwater for Total Littoral Transport in Entire Breaker Zone in CERC Formula using this online calculator? To use this online calculator for Wave Speed in Deepwater for Total Littoral Transport in Entire Breaker Zone in CERC Formula, enter Total Littoral Transport (S), Deepwater Wave Height (Hd), Refraction Coefficient (Kr) & Angle of Wave Incidence br) and hit the calculate button. Here is how the Wave Speed in Deepwater for Total Littoral Transport in Entire Breaker Zone in CERC Formula calculation can be explained with given input values -> 13.22449 = (0.00386/(0.014*3.5^2*0.1^2*sin(0.785398163397301)*cos(0.785398163397301))).

FAQ

What is Wave Speed in Deepwater for Total Littoral Transport in Entire Breaker Zone in CERC Formula?
The Wave Speed in Deepwater for Total Littoral Transport in Entire Breaker Zone in CERC Formula is defined as the movement of sediment along the shoreline in regions unaffected by the seabed and is represented as Co = (S/(0.014*Hd^2*Kr^2*sin(φbr)*cos(φbr))) or 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 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 is the vertical distance between the crest (highest point) and the trough (lowest point) of a wave in deep water, 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 Speed in Deepwater for Total Littoral Transport in Entire Breaker Zone in CERC Formula?
The Wave Speed in Deepwater for Total Littoral Transport in Entire Breaker Zone in CERC Formula is defined as the movement of sediment along the shoreline in regions unaffected by the seabed is calculated using 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))). To calculate Wave Speed in Deepwater for Total Littoral Transport in Entire Breaker Zone in CERC Formula, you need Total Littoral Transport (S), Deepwater Wave Height (Hd), Refraction Coefficient (Kr) & Angle of Wave Incidence br). With our tool, you need to enter the respective value for Total Littoral Transport, Deepwater Wave Height, 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 Celerity?
In this formula, Deepwater Wave Celerity uses Total Littoral Transport, Deepwater Wave Height, Refraction Coefficient & Angle of Wave Incidence. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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))
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