Wave Height given Celerity of Solitary Wave Calculator

✖Celerity of the Wave refers to the speed at which a wave propagates through a medium.ⓘ Celerity of the Wave [C]			+10% -10%
✖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%

✖Height of the Wave is the difference between the elevations of a crest and a neighboring trough.ⓘ Wave Height given Celerity of Solitary Wave [H_w]

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Wave Height given Celerity of Solitary Wave Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of the Wave = (Celerity of the Wave^2/[g])-Water Depth from Bed
H_w = (C^2/[g])-D_w
This formula uses 1 Constants, 3 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

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.
Celerity of the Wave - (Measured in Meter per Second) - Celerity of the Wave refers to the speed at which a wave propagates through a medium.
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.

STEP 1: Convert Input(s) to Base Unit

Celerity of the Wave: 24.05 Meter per Second --> 24.05 Meter per Second No Conversion Required
Water Depth from Bed: 45 Meter --> 45 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_w = (C^2/[g])-D_w --> (24.05^2/[g])-45

Evaluating ... ...

H_w = 13.9806406876966

STEP 3: Convert Result to Output's Unit

13.9806406876966 Meter --> No Conversion Required

FINAL ANSWER

13.9806406876966 ≈ 13.98064 Meter <-- Height of the Wave

(Calculation completed in 00.004 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 given Celerity of Solitary Wave Formula

LaTeX Go

Height of the Wave = (Celerity of the Wave^2/[g])-Water Depth from Bed
H_w = (C^2/[g])-D_w

What is Wave Celerity?

The Wave Celerity is defined as the speed of propagation of the wave crest or trough. For a Deepwater wave the celerity is directly proportional to the wave period, T. The formula for Deepwater celerity, Co, is Co =1.56T m/sec = 5.12T ft/sec.

How to Calculate Wave Height given Celerity of Solitary Wave?

Wave Height given Celerity of Solitary Wave calculator uses Height of the Wave = (Celerity of the Wave^2/[g])-Water Depth from Bed to calculate the Height of the Wave, The Wave Height given Celerity of Solitary Wave is defined as the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering. Height of the Wave is denoted by H_w symbol.

How to calculate Wave Height given Celerity of Solitary Wave using this online calculator? To use this online calculator for Wave Height given Celerity of Solitary Wave, enter Celerity of the Wave (C) & Water Depth from Bed (D_w) and hit the calculate button. Here is how the Wave Height given Celerity of Solitary Wave calculation can be explained with given input values -> 13.98064 = (24.05^2/[g])-45.

FAQ

What is Wave Height given Celerity of Solitary Wave?

The Wave Height given Celerity of Solitary Wave is defined as the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering and is represented as H_w = (C^2/[g])-D_w or Height of the Wave = (Celerity of the Wave^2/[g])-Water Depth from Bed. Celerity of the Wave refers to the speed at which a wave propagates through a medium & Water Depth from Bed means the depth as measured from the water level to the bottom of the considered water body.

How to calculate Wave Height given Celerity of Solitary Wave?

The Wave Height given Celerity of Solitary Wave is defined as the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering is calculated using Height of the Wave = (Celerity of the Wave^2/[g])-Water Depth from Bed. To calculate Wave Height given Celerity of Solitary Wave, you need Celerity of the Wave (C) & Water Depth from Bed (D_w). With our tool, you need to enter the respective value for Celerity of the Wave & Water Depth from Bed 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 Celerity of the Wave & Water Depth from Bed. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)
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

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