Water Depth Given Celerity of Solitary Wave Solution

STEP 0: Pre-Calculation Summary
Formula Used
Water Depth from Bed = (Celerity of The Wave^2/[g])-Height of The Wave
Dw = (C^2/[g])-Hw
This formula uses 1 Constants, 3 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
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.
Celerity of The Wave - (Measured in Meter per Second) - Celerity of the Wave is The speed at which an individual wave advances or “propagates”.
Height of The Wave - (Measured in Meter) - Height of The Wave is the difference between the elevations of a crest and a neighboring trough.
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
Height of The Wave: 14 Meter --> 14 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Dw = (C^2/[g])-Hw --> (24.05^2/[g])-14
Evaluating ... ...
Dw = 44.9806406876966
STEP 3: Convert Result to Output's Unit
44.9806406876966 Meter --> No Conversion Required
FINAL ANSWER
44.9806406876966 44.98064 Meter <-- Water Depth from Bed
(Calculation completed in 00.004 seconds)

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17 Solitary Wave Calculators

Wave Height of Unbroken Wave in Water of Finite Depth
Go 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)))*Wave Amplitude
Water Surface above Bottom
Go Ordinate of the Water Surface = 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
Maximum Velocity of Solitary Wave
Go Maximum Velocity of Solitary Wave = (Celerity of The Wave*Function of H/d as N)/(1+cos(Function of H/d as M*Any Elevation above the Bottom/Water Depth from Bed))
Water Depth Given Total Wave Energy per Unit Crest Width of Solitary Wave
Go Water Depth from Bed = (Total Wave Energy per Unit Crest Width/((8/(3*sqrt(3)))*Density of Salt Water*[g]*Height of The Wave^(3/2)))^(2/3)
Wave Height for Total Wave Energy per Unit Crest Width of Solitary Wave
Go 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)
Total Wave Energy per Unit Crest Width of Solitary Wave
Go Total Wave Energy per Unit Crest Width = (8/(3*sqrt(3)))*Density of Salt Water*[g]*Height of The Wave^(3/2)*Water Depth from Bed^(3/2)
Water Surface above Bottom given Pressure Beneath Solitary Wave
Go Ordinate of the Water Surface = (Pressure under A Wave/(Density of Salt Water*[g]))+Any Elevation above the Bottom
Any Elevation above Bottom given Pressure beneath Solitary Wave
Go Any Elevation above the Bottom = Ordinate of the Water Surface-(Pressure under A Wave/(Density of Salt Water*[g]))
Pressure beneath Solitary Wave
Go Pressure under A Wave = Density of Salt Water*[g]*(Ordinate of the Water Surface- Any Elevation above the Bottom)
Wavelength of Regions of Validity Stokes and Cnoidal Wave Theory
Go Length of Water Wave = Water Depth from Bed*(21.5*exp(-1.87*(Height of The Wave/Water Depth from Bed)))
Empirical Relationship between Slope and Breaker Height-to-Water Depth Ratio
Go Breaker Height-to-Water Depth Ratio = 0.75+(25*Slope for Waves)-(112*Slope for Waves^2)+(3870*Slope for Waves^3)
Celerity of Solitary Wave
Go Celerity of The Wave = sqrt([g]*(Height of The Wave+Water Depth from Bed))
Wave Height given Celerity of Solitary Wave
Go Height of The Wave = (Celerity of The Wave^2/[g])-Water Depth from Bed
Water Depth Given Celerity of Solitary Wave
Go Water Depth from Bed = (Celerity of The Wave^2/[g])-Height of The Wave
Water Depth Given Volume of Water within Wave above Still Water Level
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
Go Volume of Water per Unit Crest Width = ((16/3)*Water Depth from Bed^3*Height of The Wave)^0.5
Wave Height Given Volume of Water within Wave above Still Water Level
Go Height of The Wave = Volume of Water per Unit Crest Width^2/((16/3)*Water Depth from Bed^3)

Water Depth Given Celerity of Solitary Wave Formula

Water Depth from Bed = (Celerity of The Wave^2/[g])-Height of The Wave
Dw = (C^2/[g])-Hw

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 Water Depth Given Celerity of Solitary Wave?

Water Depth Given Celerity of Solitary Wave calculator uses Water Depth from Bed = (Celerity of The Wave^2/[g])-Height of The Wave to calculate the Water Depth from Bed, The Water Depth given Celerity of Solitary Wave measurement is the process of measuring and monitoring the depth of water. It is carried out using a water depth meter, which allows the user to collect large amounts of data with minimal time and effort. Water Depth from Bed is denoted by Dw symbol.

How to calculate Water Depth Given Celerity of Solitary Wave using this online calculator? To use this online calculator for Water Depth Given Celerity of Solitary Wave, enter Celerity of The Wave (C) & Height of The Wave (Hw) and hit the calculate button. Here is how the Water Depth Given Celerity of Solitary Wave calculation can be explained with given input values -> 44.98064 = (24.05^2/[g])-14.

FAQ

What is Water Depth Given Celerity of Solitary Wave?
The Water Depth given Celerity of Solitary Wave measurement is the process of measuring and monitoring the depth of water. It is carried out using a water depth meter, which allows the user to collect large amounts of data with minimal time and effort and is represented as Dw = (C^2/[g])-Hw or Water Depth from Bed = (Celerity of The Wave^2/[g])-Height of The Wave. Celerity of the Wave is The speed at which an individual wave advances or “propagates” & Height of The Wave is the difference between the elevations of a crest and a neighboring trough.
How to calculate Water Depth Given Celerity of Solitary Wave?
The Water Depth given Celerity of Solitary Wave measurement is the process of measuring and monitoring the depth of water. It is carried out using a water depth meter, which allows the user to collect large amounts of data with minimal time and effort is calculated using Water Depth from Bed = (Celerity of The Wave^2/[g])-Height of The Wave. To calculate Water Depth Given Celerity of Solitary Wave, you need Celerity of The Wave (C) & Height of The Wave (Hw). With our tool, you need to enter the respective value for Celerity of The Wave & Height of The Wave 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 Water Depth from Bed?
In this formula, Water Depth from Bed uses Celerity of The Wave & Height of The Wave. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Water Depth from Bed = ((Volume of Water per Unit Crest Width)^2/((16/3)*Height of The Wave))^(1/3)
  • Water Depth from Bed = (Total Wave Energy per Unit Crest Width/((8/(3*sqrt(3)))*Density of Salt Water*[g]*Height of The Wave^(3/2)))^(2/3)
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