Wave Height given Shoaling Coefficient and Refraction Coefficient Calculator

✖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 a dimensionless parameter used in the study of wave dynamics, particularly in shallow water wave theory.ⓘ 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 [K_r]			+10% -10%

✖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 given Shoaling Coefficient and Refraction Coefficient [H_w]

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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
H_w = H_o*K_s*K_r
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 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 a dimensionless parameter used in the study of wave dynamics, particularly in shallow water wave theory.
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.

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

H_w = H_o*K_s*K_r --> 31.57*0.945*0.1

Evaluating ... ...

H_w = 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 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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National Institute of Technology (NIT), Warangal

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< Shoaling, Refraction and Breaking Calculators

Shoaling Coefficient

LaTeX 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

Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient

LaTeX Go Wave Height in Deepwater = Wave Height for Surface Gravity Waves/(Shoaling Coefficient*Refraction Coefficient)

Refraction Coefficient

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

Distance between Two Rays at General Point

LaTeX Go Distance Between Two Rays = Distance Between Two Rays at Deepwater/Refraction Coefficient^2

Wave Height given Shoaling Coefficient and Refraction Coefficient Formula

LaTeX Go

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

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, The Wave Height given Shoaling Coefficient and Refraction Coefficient is defined as the 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 H_w 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 (H_o), Shoaling Coefficient (K_s) & Refraction Coefficient (K_r) 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 -> 2.983365 = 31.57*0.945*0.1.

FAQ

What is Wave Height given Shoaling Coefficient and Refraction Coefficient?

The Wave Height given Shoaling Coefficient and Refraction Coefficient is defined as the 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 H_w = H_o*K_s*K_r or Wave Height for Surface Gravity Waves = Wave Height in Deepwater*Shoaling Coefficient*Refraction Coefficient. 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 a dimensionless parameter used in the study of wave dynamics, particularly in shallow water wave theory & Refraction Coefficient is a parameter used to describe how waves change direction as they propagate from deep water into shallower water near the coastline.

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

The Wave Height given Shoaling Coefficient and Refraction Coefficient is defined as the 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 (H_o), Shoaling Coefficient (K_s) & Refraction Coefficient (K_r). 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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