Wave Height given Shoaling Coefficient and Refraction Coefficient Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wave Height for Surface Gravity Waves = Wave Height in Deepwater*Shoaling Coefficient*Refraction Coefficient
Hw = Ho*Ks*Kr
This formula uses 4 Variables
Variables Used
Wave Height for Surface Gravity Waves - (Measured in Meter) - The Wave Height for Surface Gravity Waves refers to the vertical distance between the trough (bottom) and crest (top) of a wave, measured from sea level.
Wave Height in Deepwater - (Measured in Meter) - Wave Height in Deepwater or Original Wave Height. Deep-water waves do not interact with the ocean bottom as they travel, their speed is independent of the water depth.
Shoaling Coefficient - Shoaling Coefficient is defined as the ratio of wave height (Hi) at a particular point of interest to the original or deep water wave height (Ho).
Refraction Coefficient - Refraction Coefficient when waves approach a plane base travelling from deep water into shallow water.
STEP 1: Convert Input(s) to Base Unit
Wave Height in Deepwater: 31.57 Meter --> 31.57 Meter No Conversion Required
Shoaling Coefficient: 0.945 --> No Conversion Required
Refraction Coefficient: 0.1 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Hw = Ho*Ks*Kr --> 31.57*0.945*0.1
Evaluating ... ...
Hw = 2.983365
STEP 3: Convert Result to Output's Unit
2.983365 Meter --> No Conversion Required
FINAL ANSWER
2.983365 Meter <-- Wave Height for Surface Gravity Waves
(Calculation completed in 00.020 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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16 Shoaling, Refraction and Breaking Calculators

Shoaling Coefficient
Go Shoaling Coefficient = (tanh(Wave Number for Water Wave*Mean Depth)*(1+(2*Wave Number for Water Wave*Mean Depth/sinh(2*Wave Number for Water Wave*Mean Depth))))^-0.5
Shoaling Coefficient given Wave Celerity
Go Shoaling Coefficient = sqrt(Deepwater Wave Celerity/(Celerity of the Wave*2*Ratio of Group Velocity to Phase Velocity))
Beach Slope given Breaking wave and wave height at breaking point
Go Beach Slope = Breaking Wave*sqrt(Wave Height for Surface Gravity Waves/Deep-Water Wavelength)
Breaking Wave given wave height at Breaking Point
Go Breaking Wave = Beach Slope/sqrt(Wave Height for Surface Gravity Waves/Deep-Water Wavelength)
Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient
Go Wave Height in Deepwater = Wave Height for Surface Gravity Waves/(Shoaling Coefficient*Refraction Coefficient)
Refraction Coefficient given Relative Change of Wave Height
Go Refraction Coefficient = Wave Height for Surface Gravity Waves/(Wave Height in Deepwater*Shoaling Coefficient)
Wave Height given Shoaling Coefficient and Refraction Coefficient
Go Wave Height for Surface Gravity Waves = Wave Height in Deepwater*Shoaling Coefficient*Refraction Coefficient
Refraction Coefficient
Go Refraction Coefficient = sqrt(Distance between Two Rays at Deepwater/Distance between two rays)
Wave Height at Breaking Point given Breaking Wave and Wave Height at breaking point
Go Wave Height for Surface Gravity Waves = (Deep-Water Wavelength*Beach Slope^2)/Breaking Wave^2
Deepwater Wavelength given Wave Breaking and wave height at breaking point
Go Deep-Water Wavelength = (Breaking Wave^2*Wave Height for Surface Gravity Waves)/Beach Slope^2
Distance between Two Rays at General Point
Go Distance between two rays = Distance between Two Rays at Deepwater/Refraction Coefficient^2
Shoaling Coefficient in Shallow Water
Go Shoaling Coefficient = 0.4466*(Deep-Water Wavelength/Water Depth in Ocean)^(1/4)
Water Depth when Reduced Shoaling Coefficient in shallow Water
Go Water Depth in Ocean = Deep-Water Wavelength/(Shoaling Coefficient/0.2821)^2
Deepwater Wavelength for Shoaling Coefficient in Shallow Water
Go Deep-Water Wavelength = (Shoaling Coefficient/0.4466)^4*Water Depth in Ocean
Wave Length for reduced shoaling coefficient in shallow water
Go Deep-Water Wavelength = Water Depth in Ocean*(Shoaling Coefficient/0.2821)^2
Water Depth given Shoaling Coefficient in Shallow Water
Go Water Depth in Ocean = Deep-Water Wavelength/(Shoaling Coefficient/0.4466)^4

Wave Height given Shoaling Coefficient and Refraction Coefficient Formula

Wave Height for Surface Gravity Waves = Wave Height in Deepwater*Shoaling Coefficient*Refraction Coefficient
Hw = Ho*Ks*Kr

What is Shoaling Coefficient?

The Shoaling Coefficient (KS) is defined as the ratio of wave height (Hi) at a particular point of interest to the original or deep water wave height (Ho). As a first approximation, the assumption is made that there exists no loss or gain of energy from the system (conservation of energy flux).

How to Calculate Wave Height given Shoaling Coefficient and Refraction Coefficient?

Wave Height given Shoaling Coefficient and Refraction Coefficient calculator uses Wave Height for Surface Gravity Waves = Wave Height in Deepwater*Shoaling Coefficient*Refraction Coefficient to calculate the Wave Height for Surface Gravity Waves, Wave Height given Shoaling Coefficient and Refraction Coefficient of surface wave is difference between elevations of crest and neighboring trough. Wave height is term used by mariners, as well as in coastal, ocean and naval engineering. Wave Height for Surface Gravity Waves is denoted by Hw symbol.

How to calculate Wave Height given Shoaling Coefficient and Refraction Coefficient using this online calculator? To use this online calculator for Wave Height given Shoaling Coefficient and Refraction Coefficient, enter Wave Height in Deepwater (Ho), Shoaling Coefficient (Ks) & Refraction Coefficient (Kr) and hit the calculate button. Here is how the Wave Height given Shoaling Coefficient and Refraction Coefficient calculation can be explained with given input values -> 2.2099 = 31.57*0.945*0.1.

FAQ

What is Wave Height given Shoaling Coefficient and Refraction Coefficient?
Wave Height given Shoaling Coefficient and Refraction Coefficient of surface wave is difference between elevations of crest and neighboring trough. Wave height is term used by mariners, as well as in coastal, ocean and naval engineering and is represented as Hw = Ho*Ks*Kr or Wave Height for Surface Gravity Waves = Wave Height in Deepwater*Shoaling Coefficient*Refraction Coefficient. Wave Height in Deepwater or Original Wave Height. Deep-water waves do not interact with the ocean bottom as they travel, their speed is independent of the water depth, Shoaling Coefficient is defined as the ratio of wave height (Hi) at a particular point of interest to the original or deep water wave height (Ho) & Refraction Coefficient when waves approach a plane base travelling from deep water into shallow water.
How to calculate Wave Height given Shoaling Coefficient and Refraction Coefficient?
Wave Height given Shoaling Coefficient and Refraction Coefficient of surface wave is difference between elevations of crest and neighboring trough. Wave height is term used by mariners, as well as in coastal, ocean and naval engineering is calculated using Wave Height for Surface Gravity Waves = Wave Height in Deepwater*Shoaling Coefficient*Refraction Coefficient. To calculate Wave Height given Shoaling Coefficient and Refraction Coefficient, you need Wave Height in Deepwater (Ho), Shoaling Coefficient (Ks) & Refraction Coefficient (Kr). With our tool, you need to enter the respective value for Wave Height in Deepwater, Shoaling Coefficient & Refraction Coefficient 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 Wave Height for Surface Gravity Waves?
In this formula, Wave Height for Surface Gravity Waves uses Wave Height in Deepwater, Shoaling Coefficient & Refraction Coefficient. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Wave Height for Surface Gravity Waves = (Deep-Water Wavelength*Beach Slope^2)/Breaking Wave^2
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