✖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 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

`"1.044189m"=(("3.2m/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 = (Wave Celerity^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 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.
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.

STEP 1: Convert Input(s) to Base Unit

Wave Celerity: 3.2 Meter per Second --> 3.2 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = (C^2)/[g] --> (3.2^2)/[g]

Evaluating ... ...

d = 1.0441894020894

STEP 3: Convert Result to Output's Unit

1.0441894020894 Meter --> No Conversion Required

FINAL ANSWER

1.0441894020894 ≈ 1.044189 Meter <-- Water Depth

(Calculation completed in 00.022 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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< 14 Pressure Component Calculators

Water Surface Elevation of Two Sinusoidal Wave

Go Water 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

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])

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))

Friction Velocity given Dimensionless Time

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

Water Surface Elevation

Go Water 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

Water Depth given Wave Celerity for Shallow Water Formula

Water Depth = (Wave Celerity^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 = (Wave Celerity^2)/[g] to calculate the Water Depth, The Water Depth given Wave Celerity for Shallow Water Formula is defined as the relationship between water depth and wave celerity in shallow water is crucial. In shallow water, waves travel slower than in deeper water due to the influence of the sea floor. This phenomenon is described by the shallow water wave equation. The water depth plays a significant role in determining wave behavior, particularly in terms of wave speed and energy dissipation. 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 Wave Celerity (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 -> 1.044189 = (3.2^2)/[g].

FAQ

What is Water Depth given Wave Celerity for Shallow Water?

The Water Depth given Wave Celerity for Shallow Water Formula is defined as the relationship between water depth and wave celerity in shallow water is crucial. In shallow water, waves travel slower than in deeper water due to the influence of the sea floor. This phenomenon is described by the shallow water wave equation. The water depth plays a significant role in determining wave behavior, particularly in terms of wave speed and energy dissipation and is represented as d = (C^2)/[g] or Water Depth = (Wave Celerity^2)/[g]. Wave Celerity affects how wave-induced pressures propagate through the seabed and impact the stability of coastal structures.

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

The Water Depth given Wave Celerity for Shallow Water Formula is defined as the relationship between water depth and wave celerity in shallow water is crucial. In shallow water, waves travel slower than in deeper water due to the influence of the sea floor. This phenomenon is described by the shallow water wave equation. The water depth plays a significant role in determining wave behavior, particularly in terms of wave speed and energy dissipation is calculated using Water Depth = (Wave Celerity^2)/[g]. To calculate Water Depth given Wave Celerity for Shallow Water, you need Wave Celerity (C). With our tool, you need to enter the respective value for Wave Celerity 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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