Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient 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%
✖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%

✖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.ⓘ Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient [H_o]

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Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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 for Surface Gravity Waves: 3 Meter --> 3 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_o = H_w/(K_s*K_r) --> 3/(0.945*0.1)

Evaluating ... ...

H_o = 31.7460317460317

STEP 3: Convert Result to Output's Unit

31.7460317460317 Meter --> No Conversion Required

FINAL ANSWER

31.7460317460317 ≈ 31.74603 Meter <-- Wave Height in Deepwater

(Calculation completed in 00.020 seconds)

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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!

Verified by M Naveen

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

Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient Formula

LaTeX Go

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

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 Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient?

Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient calculator uses Wave Height in Deepwater = Wave Height for Surface Gravity Waves/(Shoaling Coefficient*Refraction Coefficient) to calculate the Wave Height in Deepwater, The Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient is defined as the elevation of a crest and a neighboring trough. Wave Height in Deepwater is denoted by H_o symbol.

How to calculate Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient using this online calculator? To use this online calculator for Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient, enter Wave Height for Surface Gravity Waves (H_w), Shoaling Coefficient (K_s) & Refraction Coefficient (K_r) and hit the calculate button. Here is how the Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient calculation can be explained with given input values -> 31.74603 = 3/(0.945*0.1).

FAQ

What is Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient?

The Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient is defined as the elevation of a crest and a neighboring trough and is represented as H_o = H_w/(K_s*K_r) or Wave Height in Deepwater = Wave Height for Surface Gravity Waves/(Shoaling Coefficient*Refraction 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, 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 Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient?

The Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient is defined as the elevation of a crest and a neighboring trough is calculated using Wave Height in Deepwater = Wave Height for Surface Gravity Waves/(Shoaling Coefficient*Refraction Coefficient). To calculate Deepwater Wave Height for Shoaling Coefficient and Refraction Coefficient, you need Wave Height for Surface Gravity Waves (H_w), Shoaling Coefficient (K_s) & Refraction Coefficient (K_r). With our tool, you need to enter the respective value for Wave Height for Surface Gravity Waves, 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.

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