Mean Depth given Second Type of Mean Fluid Speed Calculator

✖Rate of Volume Flow is the volume of fluid that passes per unit of time.ⓘ Rate of Volume Flow [V_rate]			+10% -10%
✖Fluid Stream Velocity is the speed at which fluid is moving.ⓘ Fluid Stream Velocity [C_f]			+10% -10%
✖Mean Horizontal Fluid Velocity refers to the average speed and direction of water flow in a particular area over a specified period.ⓘ Mean Horizontal Fluid Velocity [U_h]			+10% -10%

✖Coastal Mean Depth refers to the average depth of water over a particular area, such as a section of coastline, a bay, or an ocean basin.ⓘ Mean Depth given Second Type of Mean Fluid Speed [d]

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Mean Depth given Second Type of Mean Fluid Speed

Formula

`"d" = "V"_{"rate"}/("C"_{"f"}-"U"_{"h"})`

Example

`"10m"="500m³/s"/("64m/s"-"14m/s")`

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Mean Depth given Second Type of Mean Fluid Speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coastal Mean Depth = Rate of Volume Flow/(Fluid Stream Velocity-Mean Horizontal Fluid Velocity)
d = V_rate/(C_f-U_h)
This formula uses 4 Variables

Variables Used

Coastal Mean Depth - (Measured in Meter) - Coastal Mean Depth refers to the average depth of water over a particular area, such as a section of coastline, a bay, or an ocean basin.
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.
Fluid Stream Velocity - (Measured in Meter per Second) - Fluid Stream Velocity is the speed at which fluid is moving.
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.

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
Fluid Stream Velocity: 64 Meter per Second --> 64 Meter per Second No Conversion Required
Mean Horizontal Fluid Velocity: 14 Meter per Second --> 14 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = V_rate/(C_f-U_h) --> 500/(64-14)

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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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/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

Mean Depth given Second Type of Mean Fluid Speed Formula

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

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 given Second Type of Mean Fluid Speed?

Mean Depth given Second Type of Mean Fluid Speed calculator uses Coastal Mean Depth = Rate of Volume Flow/(Fluid Stream Velocity-Mean Horizontal Fluid Velocity) to calculate the Coastal Mean Depth, The Mean Depth given Second Type of Mean Fluid Speed is defined as parameter relative to water depth influencing mean fluid speed is depth-integrated mean speed of fluid under waves in frame in which motion is steady. Coastal Mean Depth is denoted by d symbol.

How to calculate Mean Depth given Second Type of Mean Fluid Speed using this online calculator? To use this online calculator for Mean Depth given Second Type of Mean Fluid Speed, enter Rate of Volume Flow (V_rate), Fluid Stream Velocity (C_f) & Mean Horizontal Fluid Velocity (U_h) and hit the calculate button. Here is how the Mean Depth given Second Type of Mean Fluid Speed calculation can be explained with given input values -> 10 = 500/(64-14).

FAQ

What is Mean Depth given Second Type of Mean Fluid Speed?

The Mean Depth given Second Type of Mean Fluid Speed is defined as parameter relative to water depth influencing mean fluid speed is depth-integrated mean speed of fluid under waves in frame in which motion is steady and is represented as d = V_rate/(C_f-U_h) or Coastal Mean Depth = Rate of Volume Flow/(Fluid Stream Velocity-Mean Horizontal Fluid Velocity). Rate of Volume Flow is the volume of fluid that passes per unit of time, Fluid Stream Velocity is the speed at which fluid is moving & Mean Horizontal Fluid Velocity refers to the average speed and direction of water flow in a particular area over a specified period.

How to calculate Mean Depth given Second Type of Mean Fluid Speed?

The Mean Depth given Second Type of Mean Fluid Speed is defined as parameter relative to water depth influencing mean fluid speed is depth-integrated mean speed of fluid under waves in frame in which motion is steady is calculated using Coastal Mean Depth = Rate of Volume Flow/(Fluid Stream Velocity-Mean Horizontal Fluid Velocity). To calculate Mean Depth given Second Type of Mean Fluid Speed, you need Rate of Volume Flow (V_rate), Fluid Stream Velocity (C_f) & Mean Horizontal Fluid Velocity (U_h). With our tool, you need to enter the respective value for Rate of Volume Flow, Fluid Stream Velocity & Mean Horizontal Fluid Velocity 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, Fluid Stream Velocity & Mean Horizontal Fluid Velocity. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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