Refraction Coefficient given Relative Change of Wave Height Calculator

✖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 for Surface Gravity Waves [H_w]			+10% -10%
✖Wave Height in Deepwater refers to the vertical distance between the trough (lowest point) and the crest (highest point) of a wave when it is far from any influence of the sea floor.ⓘ Wave Height in Deepwater [H_o]			+10% -10%
✖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).ⓘ Shoaling Coefficient [K_s]			+10% -10%

✖Refraction Coefficient is a parameter used to describe how waves change direction as they propagate from deep water into shallower water near the coastline.ⓘ Refraction Coefficient given Relative Change of Wave Height [K_r]

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Formula

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Refraction Coefficient given Relative Change of Wave Height

Formula

`"K"_{"r"} = "H"_{"w"}/("H"_{"o"}*"K"_{"s"})`

Example

`"0.100558"="3m"/("31.57m"*"0.945")`

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Refraction Coefficient given Relative Change of Wave Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Refraction Coefficient = Wave Height for Surface Gravity Waves/(Wave Height in Deepwater*Shoaling Coefficient)
K_r = H_w/(H_o*K_s)
This formula uses 4 Variables

Variables Used

Refraction Coefficient - Refraction Coefficient is a parameter used to describe how waves change direction as they propagate from deep water into shallower water near the coastline.
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 refers to the vertical distance between the trough (lowest point) and the crest (highest point) of a wave when it is far from any influence of the sea floor.
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).

STEP 1: Convert Input(s) to Base Unit

Wave Height for Surface Gravity Waves: 3 Meter --> 3 Meter No Conversion Required
Wave Height in Deepwater: 31.57 Meter --> 31.57 Meter No Conversion Required
Shoaling Coefficient: 0.945 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_r = H_w/(H_o*K_s) --> 3/(31.57*0.945)

Evaluating ... ...

K_r = 0.10055759184679

STEP 3: Convert Result to Output's Unit

0.10055759184679 --> No Conversion Required

FINAL ANSWER

0.10055759184679 ≈ 0.100558 <-- Refraction Coefficient

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Surface Gravity Waves » Shoaling, Refraction and Breaking » Refraction Coefficient given Relative Change of Wave Height

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< 16 Shoaling, Refraction and Breaking Calculators

Shoaling Coefficient

Go Shoaling Coefficient = (tanh(Wave Number for Water Wave*Coastal Mean Depth)*(1+(2*Wave Number for Water Wave*Coastal Mean Depth/sinh(2*Wave Number for Water Wave*Coastal 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

Refraction Coefficient given Relative Change of Wave Height Formula

Refraction Coefficient = Wave Height for Surface Gravity Waves/(Wave Height in Deepwater*Shoaling Coefficient)
K_r = H_w/(H_o*K_s)

What is Shoaling Coefficient (KS)?

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 Refraction Coefficient given Relative Change of Wave Height?

Refraction Coefficient given Relative Change of Wave Height calculator uses Refraction Coefficient = Wave Height for Surface Gravity Waves/(Wave Height in Deepwater*Shoaling Coefficient) to calculate the Refraction Coefficient, The Refraction Coefficient given Relative Change of Wave Height is defined as coefficient that describes how fast light travels through wave. Refraction Coefficient is denoted by K_r symbol.

How to calculate Refraction Coefficient given Relative Change of Wave Height using this online calculator? To use this online calculator for Refraction Coefficient given Relative Change of Wave Height, enter Wave Height for Surface Gravity Waves (H_w), Wave Height in Deepwater (H_o) & Shoaling Coefficient (K_s) and hit the calculate button. Here is how the Refraction Coefficient given Relative Change of Wave Height calculation can be explained with given input values -> 0.100558 = 3/(31.57*0.945).

FAQ

What is Refraction Coefficient given Relative Change of Wave Height?

The Refraction Coefficient given Relative Change of Wave Height is defined as coefficient that describes how fast light travels through wave and is represented as K_r = H_w/(H_o*K_s) or Refraction Coefficient = Wave Height for Surface Gravity Waves/(Wave Height in Deepwater*Shoaling Coefficient). 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 refers to the vertical distance between the trough (lowest point) and the crest (highest point) of a wave when it is far from any influence of the sea floor & 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).

How to calculate Refraction Coefficient given Relative Change of Wave Height?

The Refraction Coefficient given Relative Change of Wave Height is defined as coefficient that describes how fast light travels through wave is calculated using Refraction Coefficient = Wave Height for Surface Gravity Waves/(Wave Height in Deepwater*Shoaling Coefficient). To calculate Refraction Coefficient given Relative Change of Wave Height, you need Wave Height for Surface Gravity Waves (H_w), Wave Height in Deepwater (H_o) & Shoaling Coefficient (K_s). With our tool, you need to enter the respective value for Wave Height for Surface Gravity Waves, Wave Height in Deepwater & Shoaling 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 Refraction Coefficient?

In this formula, Refraction Coefficient uses Wave Height for Surface Gravity Waves, Wave Height in Deepwater & Shoaling Coefficient. We can use 1 other way(s) to calculate the same, which is/are as follows -

Refraction Coefficient = sqrt(Distance Between Two Rays at Deepwater/Distance Between Two Rays)

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