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

STEP 0: Pre-Calculation Summary
Formula Used
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)))
Ho = sqrt(S'/((0.44*10^6)*Co*Kr^2*sin(φbr)*cos(φbr)))
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
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.
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.
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 in cubic meter per year: 20000000 --> 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
Ho = sqrt(S'/((0.44*10^6)*Co*Kr^2*sin(φbr)*cos(φbr))) --> sqrt(20000000/((0.44*10^6)*4.5*0.1^2*sin(0.785398163397301)*cos(0.785398163397301)))
Evaluating ... ...
Ho = 44.9466574975495
STEP 3: Convert Result to Output's Unit
44.9466574975495 Meter --> No Conversion Required
FINAL ANSWER
44.9466574975495 44.94666 Meter <-- Wave Height in Deep Water
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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Verified by M Naveen
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

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

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)))
Ho = sqrt(S'/((0.44*10^6)*Co*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 Height in Deepwater for Total Littoral Transport in Breaker Zone in Cubic Meter per Year?

Wave Height in Deepwater for Total Littoral Transport in Breaker Zone in Cubic Meter per Year calculator uses 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))) to calculate the Wave Height in Deep Water, The Wave Height in Deepwater for Total Littoral Transport in Breaker Zone in Cubic Meter per Year formula is defined as the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering. Wave Height in Deep Water is denoted by Ho symbol.

How to calculate Wave Height in Deepwater for Total Littoral Transport in Breaker Zone in Cubic Meter per Year using this online calculator? To use this online calculator for Wave Height in Deepwater for Total Littoral Transport in Breaker Zone in Cubic Meter per Year, enter Total Littoral Transport in cubic meter per year (S'), Deepwater Wave Celerity (Co), Refraction Coefficient (Kr) & Angle of Wave Incidence br) and hit the calculate button. Here is how the Wave Height in Deepwater for Total Littoral Transport in Breaker Zone in Cubic Meter per Year calculation can be explained with given input values -> 44.94666 = sqrt(20000000/((0.44*10^6)*4.5*0.1^2*sin(0.785398163397301)*cos(0.785398163397301))).

FAQ

What is Wave Height in Deepwater for Total Littoral Transport in Breaker Zone in Cubic Meter per Year?
The Wave Height in Deepwater for Total Littoral Transport in Breaker Zone in Cubic Meter per Year formula is defined as the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering and is represented as Ho = sqrt(S'/((0.44*10^6)*Co*Kr^2*sin(φbr)*cos(φbr))) or 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))). 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, 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 for Total Littoral Transport in Breaker Zone in Cubic Meter per Year?
The Wave Height in Deepwater for Total Littoral Transport in Breaker Zone in Cubic Meter per Year formula is defined as the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering is calculated using 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))). To calculate Wave Height in Deepwater for Total Littoral Transport in Breaker Zone in Cubic Meter per Year, you need Total Littoral Transport in cubic meter per year (S'), Deepwater Wave Celerity (Co), Refraction Coefficient (Kr) & Angle of Wave Incidence br). With our tool, you need to enter the respective value for Total Littoral Transport in cubic meter per year, 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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