Wave celerity for shallow water given water depth Calculator

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

Celerity of the Wave - (Measured in Meter per Second) - Celerity of the Wave is the addition to the normal water velocity of the channels.
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.

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 <-- Celerity of the Wave

(Calculation completed in 00.004 seconds)

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Credits

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

Wave celerity for shallow water given water depth Formula

Celerity of the Wave = 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 Celerity of the Wave = sqrt([g]*Water Depth) to calculate the Celerity of the Wave, Wave celerity for shallow water given water depth is speed at which individual wave advances or “propagates” is known as wave celerity. for Deepwater wave celerity is directly proportional to wave period. Celerity of the Wave 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 -> 3.131557 = sqrt([g]*1.05).

FAQ

What is Wave celerity for shallow water given water depth?

Wave celerity for shallow water given water depth is 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 Celerity of the Wave = sqrt([g]*Water Depth). Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body.

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

Wave celerity for shallow water given water depth is 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 Celerity of the Wave = 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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