Water Depth given Wave Celerity for Shallow Water Calculator

✖Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body.ⓘ Water Depth given Wave Celerity for Shallow Water [d]

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Water Depth given Wave Celerity for Shallow Water

Formula

`"d" = ("C"^2)/"[g]"`

Example

`"10.19716m"=(("010m/s")^2)/"[g]"`

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Water Depth given Wave Celerity for Shallow Water Solution

STEP 0: Pre-Calculation Summary

Formula Used

Water Depth = (Celerity of the Wave^2)/[g]
d = (C^2)/[g]
This formula uses 1 Constants, 2 Variables

Constants Used

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

Variables Used

Water Depth - (Measured in Meter) - Water Depth of the considered catchment is 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 addition to the normal water velocity of the channels.

STEP 1: Convert Input(s) to Base Unit

Celerity of the Wave: 10 Meter per Second --> 10 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = (C^2)/[g] --> (10^2)/[g]

Evaluating ... ...

d = 10.1971621297793

STEP 3: Convert Result to Output's Unit

10.1971621297793 Meter --> No Conversion Required

FINAL ANSWER

10.1971621297793 ≈ 10.19716 Meter <-- Water Depth

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Water Wave Mechanics » Subsurface Pressure » Pressure Component » Water Depth given Wave Celerity for Shallow Water

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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 Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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< 16 Pressure Component Calculators

Water Surface Elevation of Two Sinusoidal Wave

Go Elevation of Water Surface = (Wave Height/2)*cos((2*pi*Spatial (Progressive Wave)/Wavelength of Component Wave 1)-(2*pi*Temporal (Progressive Wave)/Wave Period of Component Wave 1))+(Wave Height/2)*cos((2*pi*Spatial (Progressive Wave)/Wavelength of Component Wave 2)-(2*pi*Temporal (Progressive Wave)/Wave Period of Component Wave 2))

Phase Angle for Total or Absolute Pressure

Go Phase Angle = acos((Absolute Pressure+(Mass Density*[g]*Seabed Elevation)-(Atmospheric Pressure))/((Mass Density*[g]*Wave Height*cosh(2*pi*(Distance above the Bottom)/Wavelength))/(2*cosh(2*pi*Water Depth/Wavelength))))

Atmospheric Pressure given Total or Absolute Pressure

Go Atmospheric pressure = Absolute pressure-(Mass Density*[g]*Wave Height*cosh(2*pi*(Distance above the Bottom)/Wavelength))*cos(Phase Angle)/(2*cosh(2*pi*Water Depth/Wavelength))+(Mass Density*[g]*Seabed Elevation)

Total or Absolute Pressure

Go Absolute pressure = (Mass Density*[g]*Wave Height*cosh(2*pi*(Distance above the Bottom)/Wavelength)*cos(Phase Angle)/2*cosh(2*pi*Water Depth/Wavelength))-(Mass Density*[g]*Seabed Elevation)+Atmospheric Pressure

Dynamic Component due to Acceleration from Absolute Pressure Equation

Go Dynamic Component due to Acceleration = (Mass Density*[g]*Wave Height*cosh(2*pi*(Distance above the Bottom)/Wavelength))*cos(Phase Angle)/(2*cosh(2*pi*Water Depth/Wavelength))

Height of Surface Waves based on Subsurface Measurements

Go Elevation of Water Surface = Correction Factor*(Pressure+(Mass Density*[g]*Depth below the SWL of Pressure Gauge))/(Mass Density*[g]*Pressure Response Factor)

Correction Factor given Height of Surface Waves based on Subsurface Measurements

Go Correction Factor = Elevation of Water Surface*Mass Density*[g]*Pressure Response Factor/(Pressure+(Mass Density*[g]*Depth below the SWL of Pressure Gauge))

Depth below SWL of Pressure Gauge

Go Depth below the SWL of Pressure Gauge = ((Elevation of Water Surface*Mass Density*[g]*Pressure Response Factor/Correction Factor)-Pressure)/Mass Density*[g]

Friction Velocity given Dimensionless Time

Go Friction Velocity = ([g]*Time for Dimensionless Parameter Calculation)/Dimensionless Time

Water Surface Elevation

Go Elevation of Water Surface = (Wave Height/2)*cos(Phase Angle)

Wave celerity for shallow water given water depth

Go Celerity of the Wave = sqrt([g]*Water Depth)

Atmospheric Pressure given Gauge Pressure

Go Atmospheric Pressure = Absolute Pressure-Gauge Pressure

Total Pressure given Gauge Pressure

Go Total Pressure = Gauge Pressure+Atmospheric Pressure

Water Depth given Wave Celerity for Shallow Water

Go Water Depth = (Celerity of the Wave^2)/[g]

Radian Frequency given Wave Period

Go Wave Angular Frequency = 1/Mean Wave Period

Wave Period given average Frequency

Go Wave Period = 1/Wave Angular Frequency

Water Depth given Wave Celerity for Shallow Water Formula

Water Depth = (Celerity of the Wave^2)/[g]
d = (C^2)/[g]

What is Wavelength?

Wavelength, distance between corresponding points of two consecutive waves. “Corresponding points” refers to two points or particles in the same phase i.e., points that have completed identical fractions of their periodic motion.

How to Calculate Water Depth given Wave Celerity for Shallow Water?

Water Depth given Wave Celerity for Shallow Water calculator uses Water Depth = (Celerity of the Wave^2)/[g] to calculate the Water Depth, The Water Depth given Wave Celerity for Shallow Water is defined as the depth as measured from the water level to the referenced bottom considered. Water Depth is denoted by d symbol.

How to calculate Water Depth given Wave Celerity for Shallow Water using this online calculator? To use this online calculator for Water Depth given Wave Celerity for Shallow Water, enter Celerity of the Wave (C) and hit the calculate button. Here is how the Water Depth given Wave Celerity for Shallow Water calculation can be explained with given input values -> 10.19716 = (10^2)/[g].

FAQ

What is Water Depth given Wave Celerity for Shallow Water?

The Water Depth given Wave Celerity for Shallow Water is defined as the depth as measured from the water level to the referenced bottom considered and is represented as d = (C^2)/[g] or Water Depth = (Celerity of the Wave^2)/[g]. Celerity of the Wave is the addition to the normal water velocity of the channels.

How to calculate Water Depth given Wave Celerity for Shallow Water?

The Water Depth given Wave Celerity for Shallow Water is defined as the depth as measured from the water level to the referenced bottom considered is calculated using Water Depth = (Celerity of the Wave^2)/[g]. To calculate Water Depth given Wave Celerity for Shallow Water, you need Celerity of the Wave (C). With our tool, you need to enter the respective value for Celerity of the Wave 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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