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

STEP 0: Pre-Calculation Summary
Formula Used
Rate of Volume Flow = Wave Speed*Mean Depth
Vrate = v*d
This formula uses 3 Variables
Variables Used
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 how fast the wave travels.
Mean Depth - (Measured in Meter) - Mean Depth for Steady two-dimensional waves.
STEP 1: Convert Input(s) to Base Unit
Wave Speed: 50 Meter per Second --> 50 Meter per Second No Conversion Required
Mean Depth: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vrate = v*d --> 50*10
Evaluating ... ...
Vrate = 500
STEP 3: Convert Result to Output's Unit
500 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
500 Cubic Meter per Second <-- Rate of Volume Flow
(Calculation completed in 00.020 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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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/Mean Depth)+0.0095721*(Deep-Water Wavelength/Mean Depth)^2+0.0077829*(Deep-Water Wavelength/Mean Depth)^3)/(1+0.078834*(Deep-Water Wavelength/Mean Depth)+0.0317567*(Deep-Water Wavelength/Mean Depth)^2+0.0093407*(Deep-Water Wavelength/Mean Depth)^3)
Mean depth given Ursell number
Go 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*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*Mean Depth^3)/Deep-Water Wavelength^2
Ursell Number
Go Ursell Number = (Wave Height for Surface Gravity Waves*Deep-Water Wavelength^2)/Mean Depth^3
Volume Flow Rate per unit Span Underneath Waves given Second Type of Mean Fluid Speed
Go Rate of Volume Flow = Mean Depth*(Fluid Stream Velocity-Mean Horizontal Fluid Velocity)
Wave Speed given Second First Type of Mean Fluid Speed
Go Fluid Stream Velocity = Mean Horizontal Fluid Velocity+(Rate of Volume Flow/Mean Depth)
Mean Depth given Second Type of Mean Fluid Speed
Go 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/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*Mean Depth
Mean Depth in Stokes' Second Approximation to Wave Speed if there is no Mass Transport
Go 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/Mean Depth

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

Rate of Volume Flow = Wave Speed*Mean Depth
Vrate = v*d

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

Volume Flow Rate in Stokes' Second Approximation to Wave Speed if there is no Mass Transport calculator uses Rate of Volume Flow = Wave Speed*Mean Depth to calculate the Rate of Volume Flow, The Volume Flow Rate in Stokes' Second Approximation to Wave Speed if there is no Mass Transport is defined as the volume of fluid which passes per unit time; usually it is represented by the symbol Q (sometimes V̇). The SI unit is cubic meters per second (m3/s). Rate of Volume Flow is denoted by Vrate symbol.

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

FAQ

What is Volume Flow Rate in Stokes' Second Approximation to Wave Speed if there is no Mass Transport?
The Volume Flow Rate in Stokes' Second Approximation to Wave Speed if there is no Mass Transport is defined as the volume of fluid which passes per unit time; usually it is represented by the symbol Q (sometimes V̇). The SI unit is cubic meters per second (m3/s) and is represented as Vrate = v*d or Rate of Volume Flow = Wave Speed*Mean Depth. Wave Speed is how fast the wave travels & Mean Depth for Steady two-dimensional waves.
How to calculate Volume Flow Rate in Stokes' Second Approximation to Wave Speed if there is no Mass Transport?
The Volume Flow Rate in Stokes' Second Approximation to Wave Speed if there is no Mass Transport is defined as the volume of fluid which passes per unit time; usually it is represented by the symbol Q (sometimes V̇). The SI unit is cubic meters per second (m3/s) is calculated using Rate of Volume Flow = Wave Speed*Mean Depth. To calculate Volume Flow Rate in Stokes' Second Approximation to Wave Speed if there is no Mass Transport, you need Wave Speed (v) & Mean Depth (d). With our tool, you need to enter the respective value for Wave Speed & Mean Depth 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 Rate of Volume Flow?
In this formula, Rate of Volume Flow uses Wave Speed & Mean Depth. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Rate of Volume Flow = Mean Depth*(Fluid Stream Velocity-Mean Horizontal Fluid Velocity)
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