Mean Depth given Ursell Number Calculator

✖The Wave Height for Surface Gravity Waves refers to the vertical distance between the trough (bottom) and crest (top) of a wave, measured from sea level.ⓘ Wave Height for Surface Gravity Waves [H_w]			+10% -10%
✖Deep-Water Wavelength is the horizontal distance between two successive crests (or troughs) of the wave.ⓘ Deep-Water Wavelength [λ_o]			+10% -10%
✖Ursell Number is a dimensionless parameter used in fluid mechanics to characterize the nonlinearity or strength of nonlinearity in the wave motion of a fluid.ⓘ Ursell Number [U]			+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 given Ursell Number [d]

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Mean Depth given Ursell Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coastal Mean Depth = ((Wave Height for Surface Gravity Waves*Deep-Water Wavelength^2)/Ursell Number)^(1/3)
d = ((H_w*λ_o^2)/U)^(1/3)
This formula uses 4 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.
Wave Height for Surface Gravity Waves - (Measured in Meter) - The Wave Height for Surface Gravity Waves refers to the vertical distance between the trough (bottom) and crest (top) of a wave, measured from sea level.
Deep-Water Wavelength - (Measured in Meter) - Deep-Water Wavelength is the horizontal distance between two successive crests (or troughs) of the wave.
Ursell Number - Ursell Number is a dimensionless parameter used in fluid mechanics to characterize the nonlinearity or strength of nonlinearity in the wave motion of a fluid.

STEP 1: Convert Input(s) to Base Unit

Wave Height for Surface Gravity Waves: 3 Meter --> 3 Meter No Conversion Required
Deep-Water Wavelength: 7 Meter --> 7 Meter No Conversion Required
Ursell Number: 0.147 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = ((H_w*λ_o^2)/U)^(1/3) --> ((3*7^2)/0.147)^(1/3)

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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< Non Linear Wave Theory Calculators

Wave Height given Ursell Number

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

Second Type of Mean Fluid Speed

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

Wave Speed given First Type of Mean Fluid Speed

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

First Type of Mean Fluid Speed

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

Mean Depth given Ursell Number Formula

LaTeX Go

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

What is Ursell Number?

In fluid dynamics, the Ursell number indicates the nonlinearity of long surface gravity waves on a fluid layer. This dimensionless parameter is named after Fritz Ursell, who discussed its significance in 1953.

How to Calculate Mean Depth given Ursell Number?

Mean Depth given Ursell Number calculator uses Coastal Mean Depth = ((Wave Height for Surface Gravity Waves*Deep-Water Wavelength^2)/Ursell Number)^(1/3) to calculate the Coastal Mean Depth, The Mean Depth given Ursell Number is defined as a measure of the average depth of the fluid in a channel, pipe, or other conduit through which the fluid is flowing, calculated using Ursell number. Coastal Mean Depth is denoted by d symbol.

How to calculate Mean Depth given Ursell Number using this online calculator? To use this online calculator for Mean Depth given Ursell Number, enter Wave Height for Surface Gravity Waves (H_w), Deep-Water Wavelength (λ_o) & Ursell Number (U) and hit the calculate button. Here is how the Mean Depth given Ursell Number calculation can be explained with given input values -> 10 = ((3*7^2)/0.147)^(1/3).

FAQ

What is Mean Depth given Ursell Number?

The Mean Depth given Ursell Number is defined as a measure of the average depth of the fluid in a channel, pipe, or other conduit through which the fluid is flowing, calculated using Ursell number and is represented as d = ((H_w*λ_o^2)/U)^(1/3) or Coastal Mean Depth = ((Wave Height for Surface Gravity Waves*Deep-Water Wavelength^2)/Ursell Number)^(1/3). The Wave Height for Surface Gravity Waves refers to the vertical distance between the trough (bottom) and crest (top) of a wave, measured from sea level, Deep-Water Wavelength is the horizontal distance between two successive crests (or troughs) of the wave & Ursell Number is a dimensionless parameter used in fluid mechanics to characterize the nonlinearity or strength of nonlinearity in the wave motion of a fluid.

How to calculate Mean Depth given Ursell Number?

The Mean Depth given Ursell Number is defined as a measure of the average depth of the fluid in a channel, pipe, or other conduit through which the fluid is flowing, calculated using Ursell number is calculated using Coastal Mean Depth = ((Wave Height for Surface Gravity Waves*Deep-Water Wavelength^2)/Ursell Number)^(1/3). To calculate Mean Depth given Ursell Number, you need Wave Height for Surface Gravity Waves (H_w), Deep-Water Wavelength (λ_o) & Ursell Number (U). With our tool, you need to enter the respective value for Wave Height for Surface Gravity Waves, Deep-Water Wavelength & Ursell Number 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 Wave Height for Surface Gravity Waves, Deep-Water Wavelength & Ursell Number. 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 = Rate of Volume Flow/Wave Speed

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