First Type of Mean Fluid Speed Calculator

✖Fluid Stream Velocity is the speed at which fluid is moving.ⓘ Fluid Stream Velocity [C_f]			+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%

✖Mean Horizontal Fluid Velocity refers to the average speed and direction of water flow in a particular area over a specified period.ⓘ First Type of Mean Fluid Speed [U_h]

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Formula

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First Type of Mean Fluid Speed

Formula

`"U"_{"h"} = "C"_{"f"}-"v"`

Example

`"14m/s"="64m/s"-"50m/s"`

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First Type of Mean Fluid Speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Horizontal Fluid Velocity = Fluid Stream Velocity-Wave Speed
U_h = C_f-v
This formula uses 3 Variables

Variables Used

Mean Horizontal Fluid Velocity - (Measured in Meter per Second) - Mean Horizontal Fluid Velocity refers to the average speed and direction of water flow in a particular area over a specified period.
Fluid Stream Velocity - (Measured in Meter per Second) - Fluid Stream Velocity is the speed at which fluid is moving.
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

Fluid Stream Velocity: 64 Meter per Second --> 64 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

U_h = C_f-v --> 64-50

Evaluating ... ...

U_h = 14

STEP 3: Convert Result to Output's Unit

14 Meter per Second --> No Conversion Required

FINAL ANSWER

14 Meter per Second <-- Mean Horizontal Fluid Velocity

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Surface Gravity Waves » Non-Linear Wave Theory » First Type of Mean Fluid Speed

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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 M Naveen

National Institute of Technology (NIT), Warangal

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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 First 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

First Type of Mean Fluid Speed Formula

Mean Horizontal Fluid Velocity = Fluid Stream Velocity-Wave Speed
U_h = C_f-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 First Type of Mean Fluid Speed?

First Type of Mean Fluid Speed calculator uses Mean Horizontal Fluid Velocity = Fluid Stream Velocity-Wave Speed to calculate the Mean Horizontal Fluid Velocity, The First Type of Mean Fluid Speed is defined as the Stokes’ first approximation to the wave speed, usually incorrectly referred to as his ”first definition of wave speed”, and is that relative to a frame in which the current is zero. Mean Horizontal Fluid Velocity is denoted by U_h symbol.

How to calculate First Type of Mean Fluid Speed using this online calculator? To use this online calculator for First Type of Mean Fluid Speed, enter Fluid Stream Velocity (C_f) & Wave Speed (v) and hit the calculate button. Here is how the First Type of Mean Fluid Speed calculation can be explained with given input values -> 14 = 64-50.

FAQ

What is First Type of Mean Fluid Speed?

The First Type of Mean Fluid Speed is defined as the Stokes’ first approximation to the wave speed, usually incorrectly referred to as his ”first definition of wave speed”, and is that relative to a frame in which the current is zero and is represented as U_h = C_f-v or Mean Horizontal Fluid Velocity = Fluid Stream Velocity-Wave Speed. Fluid Stream Velocity is the speed at which fluid is moving & Wave Speed is the rate at which a wave travels through a medium, measured in distance per unit time.

How to calculate First Type of Mean Fluid Speed?

The First Type of Mean Fluid Speed is defined as the Stokes’ first approximation to the wave speed, usually incorrectly referred to as his ”first definition of wave speed”, and is that relative to a frame in which the current is zero is calculated using Mean Horizontal Fluid Velocity = Fluid Stream Velocity-Wave Speed. To calculate First Type of Mean Fluid Speed, you need Fluid Stream Velocity (C_f) & Wave Speed (v). With our tool, you need to enter the respective value for Fluid Stream Velocity & 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 Mean Horizontal Fluid Velocity?

In this formula, Mean Horizontal Fluid Velocity uses Fluid Stream Velocity & Wave Speed. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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