Wave Height of Unbroken Wave in Water of Finite Depth Calculator

✖Water Depth from Bed means the depth as measured from the water level to the bottom of the considered water body.ⓘ Water Depth from Bed [D_w]			+10% -10%
✖Length of Water Wave is the horizontal distance between corresponding points on two successive waves.ⓘ Length of Water Wave [L]			+10% -10%
✖Solitary Wave Amplitude is a measurement of the vertical distance of the solitary wave from the average.ⓘ Solitary Wave Amplitude [a_s]			+10% -10%

✖Height of the Wave is the difference between the elevations of a crest and a neighboring trough.ⓘ Wave Height of Unbroken Wave in Water of Finite Depth [H_w]

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Wave Height of Unbroken Wave in Water of Finite Depth Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of the Wave = Water Depth from Bed*(((0.141063*(Length of Water Wave/Water Depth from Bed))+(0.0095721*(Length of Water Wave/Water Depth from Bed)^2)+(0.0077829*(Length of Water Wave/Water Depth from Bed)^3))/(1+(0.078834*(Length of Water Wave/Water Depth from Bed))+(0.0317567*(Length of Water Wave/Water Depth from Bed)^2)+(0.0093407*(Length of Water Wave/Water Depth from Bed)^3)))*Solitary Wave Amplitude
H_w = D_w*(((0.141063*(L/D_w))+(0.0095721*(L/D_w)^2)+(0.0077829*(L/D_w)^3))/(1+(0.078834*(L/D_w))+(0.0317567*(L/D_w)^2)+(0.0093407*(L/D_w)^3)))*a_s
This formula uses 4 Variables

Variables Used

Height of the Wave - (Measured in Meter) - Height of the Wave is the difference between the elevations of a crest and a neighboring trough.
Water Depth from Bed - (Measured in Meter) - Water Depth from Bed means the depth as measured from the water level to the bottom of the considered water body.
Length of Water Wave - (Measured in Meter) - Length of Water Wave is the horizontal distance between corresponding points on two successive waves.
Solitary Wave Amplitude - (Measured in Meter) - Solitary Wave Amplitude is a measurement of the vertical distance of the solitary wave from the average.

STEP 1: Convert Input(s) to Base Unit

Water Depth from Bed: 45 Meter --> 45 Meter No Conversion Required
Length of Water Wave: 90 Meter --> 90 Meter No Conversion Required
Solitary Wave Amplitude: 1.106 Meter --> 1.106 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_w = D_w*(((0.141063*(L/D_w))+(0.0095721*(L/D_w)^2)+(0.0077829*(L/D_w)^3))/(1+(0.078834*(L/D_w))+(0.0317567*(L/D_w)^2)+(0.0093407*(L/D_w)^3)))*a_s --> 45*(((0.141063*(90/45))+(0.0095721*(90/45)^2)+(0.0077829*(90/45)^3))/(1+(0.078834*(90/45))+(0.0317567*(90/45)^2)+(0.0093407*(90/45)^3)))*1.106

Evaluating ... ...

H_w = 14.0102827293161

STEP 3: Convert Result to Output's Unit

14.0102827293161 Meter --> No Conversion Required

FINAL ANSWER

14.0102827293161 ≈ 14.01028 Meter <-- Height of the Wave

(Calculation completed in 00.020 seconds)

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< Solitary Wave Calculators

Water Surface above Bottom

LaTeX Go Water Surface Ordinate = Water Depth from Bed+Height of the Wave*(sech(sqrt((3/4)*(Height of the Wave/Water Depth from Bed^3))*(Spatial (Progressive Wave)-(Celerity of the Wave*Temporal (Progressive Wave)))))^2

Wave Height given Celerity of Solitary Wave

LaTeX Go Height of the Wave = (Celerity of the Wave^2/[g])-Water Depth from Bed

Water Depth given Volume of Water within Wave above Still Water Level

LaTeX Go Water Depth from Bed = ((Volume of Water per Unit Crest Width)^2/((16/3)*Height of the Wave))^(1/3)

Volume of Water above Still Water Level per Unit Crest Width

LaTeX Go Volume of Water per Unit Crest Width = ((16/3)*Water Depth from Bed^3*Height of the Wave)^0.5

Wave Height of Unbroken Wave in Water of Finite Depth Formula

LaTeX Go

What are the Characteristics of Progressive Waves?

A progressive wave is formed due to continuous vibration of the particles of the medium.
The wave travels with a certain velocity.
There is a flow of energy in the direction of the wave.
No particles in the medium are at rest.
The amplitude of all the particles is the same.

How to Calculate Wave Height of Unbroken Wave in Water of Finite Depth?

Wave Height of Unbroken Wave in Water of Finite Depth calculator uses Height of the Wave = Water Depth from Bed*(((0.141063*(Length of Water Wave/Water Depth from Bed))+(0.0095721*(Length of Water Wave/Water Depth from Bed)^2)+(0.0077829*(Length of Water Wave/Water Depth from Bed)^3))/(1+(0.078834*(Length of Water Wave/Water Depth from Bed))+(0.0317567*(Length of Water Wave/Water Depth from Bed)^2)+(0.0093407*(Length of Water Wave/Water Depth from Bed)^3)))*Solitary Wave Amplitude to calculate the Height of the Wave, The Wave Height of Unbroken Wave in Water of Finite Depth is defined as the vertical distance between the wave crest (the highest point of the wave) and the wave trough (the lowest point of the wave) in conditions where the water depth influences the wave characteristics. Height of the Wave is denoted by H_w symbol.

How to calculate Wave Height of Unbroken Wave in Water of Finite Depth using this online calculator? To use this online calculator for Wave Height of Unbroken Wave in Water of Finite Depth, enter Water Depth from Bed (D_w), Length of Water Wave (L) & Solitary Wave Amplitude (a_s) and hit the calculate button. Here is how the Wave Height of Unbroken Wave in Water of Finite Depth calculation can be explained with given input values -> 14.01028 = 45*(((0.141063*(90/45))+(0.0095721*(90/45)^2)+(0.0077829*(90/45)^3))/(1+(0.078834*(90/45))+(0.0317567*(90/45)^2)+(0.0093407*(90/45)^3)))*1.106.

FAQ

What is Wave Height of Unbroken Wave in Water of Finite Depth?

The Wave Height of Unbroken Wave in Water of Finite Depth is defined as the vertical distance between the wave crest (the highest point of the wave) and the wave trough (the lowest point of the wave) in conditions where the water depth influences the wave characteristics and is represented as H_w = D_w*(((0.141063*(L/D_w))+(0.0095721*(L/D_w)^2)+(0.0077829*(L/D_w)^3))/(1+(0.078834*(L/D_w))+(0.0317567*(L/D_w)^2)+(0.0093407*(L/D_w)^3)))*a_s or Height of the Wave = Water Depth from Bed*(((0.141063*(Length of Water Wave/Water Depth from Bed))+(0.0095721*(Length of Water Wave/Water Depth from Bed)^2)+(0.0077829*(Length of Water Wave/Water Depth from Bed)^3))/(1+(0.078834*(Length of Water Wave/Water Depth from Bed))+(0.0317567*(Length of Water Wave/Water Depth from Bed)^2)+(0.0093407*(Length of Water Wave/Water Depth from Bed)^3)))*Solitary Wave Amplitude. Water Depth from Bed means the depth as measured from the water level to the bottom of the considered water body, Length of Water Wave is the horizontal distance between corresponding points on two successive waves & Solitary Wave Amplitude is a measurement of the vertical distance of the solitary wave from the average.

How to calculate Wave Height of Unbroken Wave in Water of Finite Depth?

The Wave Height of Unbroken Wave in Water of Finite Depth is defined as the vertical distance between the wave crest (the highest point of the wave) and the wave trough (the lowest point of the wave) in conditions where the water depth influences the wave characteristics is calculated using Height of the Wave = Water Depth from Bed*(((0.141063*(Length of Water Wave/Water Depth from Bed))+(0.0095721*(Length of Water Wave/Water Depth from Bed)^2)+(0.0077829*(Length of Water Wave/Water Depth from Bed)^3))/(1+(0.078834*(Length of Water Wave/Water Depth from Bed))+(0.0317567*(Length of Water Wave/Water Depth from Bed)^2)+(0.0093407*(Length of Water Wave/Water Depth from Bed)^3)))*Solitary Wave Amplitude. To calculate Wave Height of Unbroken Wave in Water of Finite Depth, you need Water Depth from Bed (D_w), Length of Water Wave (L) & Solitary Wave Amplitude (a_s). With our tool, you need to enter the respective value for Water Depth from Bed, Length of Water Wave & Solitary Wave Amplitude 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 Height of the Wave?

In this formula, Height of the Wave uses Water Depth from Bed, Length of Water Wave & Solitary Wave Amplitude. We can use 3 other way(s) to calculate the same, which is/are as follows -

Height of the Wave = (Celerity of the Wave^2/[g])-Water Depth from Bed
Height of the Wave = (Total Wave Energy per Unit Crest Width/((8/(3*sqrt(3)))*Density of Salt Water*[g]*Water Depth from Bed^(3/2)))^(2/3)
Height of the Wave = Volume of Water per Unit Crest Width^2/((16/3)*Water Depth from Bed^3)

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