Mean Depth in Stokes' Second Approximation to Wave Speed if there is no Mass Transport Calculator

✖Rate of Volume Flow is the volume of fluid that passes per unit of time.ⓘ Rate of Volume Flow [V_rate]			+10% -10%
✖Wave Speed is the rate at which a wave travels through a medium, measured in distance per unit time.ⓘ Wave Speed [v]			+10% -10%

✖Coastal Mean Depth of a fluid flow is a measure of the average depth of the fluid in a channel, pipe, or other conduit through which the fluid is flowing.ⓘ Mean Depth in Stokes' Second Approximation to Wave Speed if there is no Mass Transport [d]

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Mean Depth in Stokes' Second Approximation to Wave Speed if there is no Mass Transport

Formula

`"d" = "V"_{"rate"}/"v"`

Example

`"10m"="500m³/s"/"50m/s"`

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Mean Depth in Stokes' Second Approximation to Wave Speed if there is no Mass Transport Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coastal Mean Depth = Rate of Volume Flow/Wave Speed
d = V_rate/v
This formula uses 3 Variables

Variables Used

Coastal Mean Depth - (Measured in Meter) - Coastal Mean Depth of a fluid flow is a measure of the average depth of the fluid in a channel, pipe, or other conduit through which the fluid is flowing.
Rate of Volume Flow - (Measured in Cubic Meter per Second) - Rate of Volume Flow is the volume of fluid that passes per unit of time.
Wave Speed - (Measured in Meter per Second) - Wave Speed is the rate at which a wave travels through a medium, measured in distance per unit time.

STEP 1: Convert Input(s) to Base Unit

Rate of Volume Flow: 500 Cubic Meter per Second --> 500 Cubic Meter per Second No Conversion Required
Wave Speed: 50 Meter per Second --> 50 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = V_rate/v --> 500/50

Evaluating ... ...

d = 10

STEP 3: Convert Result to Output's Unit

10 Meter --> No Conversion Required

FINAL ANSWER

10 Meter <-- Coastal Mean Depth

(Calculation completed in 00.004 seconds)

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< 14 Non-Linear Wave Theory Calculators

Relative Height of Highest Wave as Function of Wavelength Obtained by Fenton

Go Relative Height as a function of Wavelength = (0.141063*(Deep-Water Wavelength/Coastal Mean Depth)+0.0095721*(Deep-Water Wavelength/Coastal Mean Depth)^2+0.0077829*(Deep-Water Wavelength/Coastal Mean Depth)^3)/(1+0.078834*(Deep-Water Wavelength/Coastal Mean Depth)+0.0317567*(Deep-Water Wavelength/Coastal Mean Depth)^2+0.0093407*(Deep-Water Wavelength/Coastal Mean Depth)^3)

Mean Depth given Ursell Number

Go Coastal Mean Depth = ((Wave Height for Surface Gravity Waves*Deep-Water Wavelength^2)/Ursell Number)^(1/3)

Wavelength given Ursell Number

Go Deep-Water Wavelength = ((Ursell Number*Coastal Mean Depth^3)/Wave Height for Surface Gravity Waves)^0.5

Wave Height given Ursell Number

Go Wave Height for Surface Gravity Waves = (Ursell Number*Coastal Mean Depth^3)/Deep-Water Wavelength^2

Ursell Number

Go Ursell Number = (Wave Height for Surface Gravity Waves*Deep-Water Wavelength^2)/Coastal Mean Depth^3

Volume Flow Rate per unit Span Underneath Waves given Second Type of Mean Fluid Speed

Go Rate of Volume Flow = Coastal Mean Depth*(Fluid Stream Velocity-Mean Horizontal Fluid Velocity)

Wave Speed given Second Type of Mean Fluid Speed

Go Fluid Stream Velocity = Mean Horizontal Fluid Velocity+(Rate of Volume Flow/Coastal Mean Depth)

Mean Depth given Second Type of Mean Fluid Speed

Go Coastal Mean Depth = Rate of Volume Flow/(Fluid Stream Velocity-Mean Horizontal Fluid Velocity)

Second Type of Mean Fluid Speed

Go Mean Horizontal Fluid Velocity = Fluid Stream Velocity-(Rate of Volume Flow/Coastal Mean Depth)

Wave Speed given First Type of Mean Fluid Speed

Go Wave Speed = Fluid Stream Velocity-Mean Horizontal Fluid Velocity

First Type of Mean Fluid Speed

Go Mean Horizontal Fluid Velocity = Fluid Stream Velocity-Wave Speed

Volume Flow Rate in Stokes' Second Approximation to Wave Speed if there is no Mass Transport

Go Rate of Volume Flow = Wave Speed*Coastal Mean Depth

Mean Depth in Stokes' Second Approximation to Wave Speed if there is no Mass Transport

Go Coastal Mean Depth = Rate of Volume Flow/Wave Speed

Stokes' Second Approximation to Wave Speed if there is no Mass Transport

Go Wave Speed = Rate of Volume Flow/Coastal Mean Depth

Mean Depth in Stokes' Second Approximation to Wave Speed if there is no Mass Transport Formula

Coastal Mean Depth = Rate of Volume Flow/Wave Speed
d = V_rate/v

What are the Main Theories for Steady Waves?

There are two main theories for steady waves – Stokes theory, most suitable for waves which are not very long relative to the water depth; and Cnoidal theory, suitable for the other limit where the waves are much longer than the depth. In addition there is one important numerical method – the Fourier approximation method which solves the problem accurately, and is now widely used in ocean and coastal engineering.

How to Calculate Mean Depth in Stokes' Second Approximation to Wave Speed if there is no Mass Transport?

Mean Depth in Stokes' Second Approximation to Wave Speed if there is no Mass Transport calculator uses Coastal Mean Depth = Rate of Volume Flow/Wave Speed to calculate the Coastal Mean Depth, The Mean Depth in Stokes' Second Approximation to Wave Speed if there is no Mass Transport refers to the average depth of the fluid in which waves propagate, and it plays a crucial role in determining the wave speed. This approximation assumes that the wave amplitude is small compared to the wavelength and that the fluid motion is irrotational and inviscid. Coastal Mean Depth is denoted by d symbol.

How to calculate Mean Depth in Stokes' Second Approximation to Wave Speed if there is no Mass Transport using this online calculator? To use this online calculator for Mean Depth in Stokes' Second Approximation to Wave Speed if there is no Mass Transport, enter Rate of Volume Flow (V_rate) & Wave Speed (v) and hit the calculate button. Here is how the Mean Depth in Stokes' Second Approximation to Wave Speed if there is no Mass Transport calculation can be explained with given input values -> 10 = 500/50.

FAQ

What is Mean Depth in Stokes' Second Approximation to Wave Speed if there is no Mass Transport?

The Mean Depth in Stokes' Second Approximation to Wave Speed if there is no Mass Transport refers to the average depth of the fluid in which waves propagate, and it plays a crucial role in determining the wave speed. This approximation assumes that the wave amplitude is small compared to the wavelength and that the fluid motion is irrotational and inviscid and is represented as d = V_rate/v or Coastal Mean Depth = Rate of Volume Flow/Wave Speed. Rate of Volume Flow is the volume of fluid that passes per unit of time & Wave Speed is the rate at which a wave travels through a medium, measured in distance per unit time.

How to calculate Mean Depth in Stokes' Second Approximation to Wave Speed if there is no Mass Transport?

The Mean Depth in Stokes' Second Approximation to Wave Speed if there is no Mass Transport refers to the average depth of the fluid in which waves propagate, and it plays a crucial role in determining the wave speed. This approximation assumes that the wave amplitude is small compared to the wavelength and that the fluid motion is irrotational and inviscid is calculated using Coastal Mean Depth = Rate of Volume Flow/Wave Speed. To calculate Mean Depth in Stokes' Second Approximation to Wave Speed if there is no Mass Transport, you need Rate of Volume Flow (V_rate) & Wave Speed (v). With our tool, you need to enter the respective value for Rate of Volume Flow & Wave Speed 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 Coastal Mean Depth?

In this formula, Coastal Mean Depth uses Rate of Volume Flow & Wave Speed. We can use 2 other way(s) to calculate the same, which is/are as follows -

Coastal Mean Depth = Rate of Volume Flow/(Fluid Stream Velocity-Mean Horizontal Fluid Velocity)
Coastal Mean Depth = ((Wave Height for Surface Gravity Waves*Deep-Water Wavelength^2)/Ursell Number)^(1/3)

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