Wave celerity for shallow water given water depth Calculator

✖Water Depth is vertical distance from the surface of a body of water to its bottom, it is a critical parameter for understanding the characteristics and behaviors of the marine environment.ⓘ Water Depth [d]

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✖Wave Celerity affects how wave-induced pressures propagate through the seabed and impact the stability of coastal structures.ⓘ Wave celerity for shallow water given water depth [C]

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Wave celerity for shallow water given water depth

Formula

`"C" = sqrt("[g]"*"d")`

Example

`"3.208891m/s"=sqrt("[g]"*"1.05m")`

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Wave celerity for shallow water given water depth Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Celerity = sqrt([g]*Water Depth)
C = sqrt([g]*d)
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

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

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Wave Celerity - (Measured in Meter per Second) - Wave Celerity affects how wave-induced pressures propagate through the seabed and impact the stability of coastal structures.
Water Depth - (Measured in Meter) - Water Depth is vertical distance from the surface of a body of water to its bottom, it is a critical parameter for understanding the characteristics and behaviors of the marine environment.

STEP 1: Convert Input(s) to Base Unit

Water Depth: 1.05 Meter --> 1.05 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = sqrt([g]*d) --> sqrt([g]*1.05)

Evaluating ... ...

C = 3.20889116362646

STEP 3: Convert Result to Output's Unit

3.20889116362646 Meter per Second --> No Conversion Required

FINAL ANSWER

3.20889116362646 ≈ 3.208891 Meter per Second <-- Wave Celerity

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Water Wave Mechanics » Subsurface Pressure » Pressure Component » Wave celerity for shallow water given water depth

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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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< 14 Pressure Component Calculators

Water Surface Elevation of Two Sinusoidal Wave

Go Water Surface Elevation = (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

Correction Factor given Height of Surface Waves based on Subsurface Measurements

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

Wave celerity for shallow water given water depth

Go Wave Celerity = 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 = (Wave Celerity^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

Wave celerity for shallow water given water depth Formula

Wave Celerity = sqrt([g]*Water Depth)
C = sqrt([g]*d)

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 Wave celerity for shallow water given water depth?

Wave celerity for shallow water given water depth calculator uses Wave Celerity = sqrt([g]*Water Depth) to calculate the Wave Celerity, The Wave celerity for shallow water given water depth formula is defined as the speed at which individual wave advances or “propagates” is known as wave celerity. For Deepwater wave celerity is directly proportional to wave period. Wave Celerity is denoted by C symbol.

How to calculate Wave celerity for shallow water given water depth using this online calculator? To use this online calculator for Wave celerity for shallow water given water depth, enter Water Depth (d) and hit the calculate button. Here is how the Wave celerity for shallow water given water depth calculation can be explained with given input values -> 3.208891 = sqrt([g]*1.05).

FAQ

What is Wave celerity for shallow water given water depth?

The Wave celerity for shallow water given water depth formula is defined as the speed at which individual wave advances or “propagates” is known as wave celerity. For Deepwater wave celerity is directly proportional to wave period and is represented as C = sqrt([g]*d) or Wave Celerity = sqrt([g]*Water Depth). Water Depth is vertical distance from the surface of a body of water to its bottom, it is a critical parameter for understanding the characteristics and behaviors of the marine environment.

How to calculate Wave celerity for shallow water given water depth?

The Wave celerity for shallow water given water depth formula is defined as the speed at which individual wave advances or “propagates” is known as wave celerity. For Deepwater wave celerity is directly proportional to wave period is calculated using Wave Celerity = sqrt([g]*Water Depth). To calculate Wave celerity for shallow water given water depth, you need Water Depth (d). With our tool, you need to enter the respective value for Water Depth 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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