Wave Height given Ursell Number Calculator

✖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.ⓘ Coastal Mean Depth [d]			+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%

✖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 given Ursell Number [H_w]

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Wave Height given Ursell Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wave Height for Surface Gravity Waves = (Ursell Number*Coastal Mean Depth^3)/Deep-Water Wavelength^2
H_w = (U*d^3)/λ_o^2
This formula uses 4 Variables

Variables Used

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.
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.
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.
Deep-Water Wavelength - (Measured in Meter) - Deep-Water Wavelength is the horizontal distance between two successive crests (or troughs) of the wave.

STEP 1: Convert Input(s) to Base Unit

Ursell Number: 0.147 --> No Conversion Required
Coastal Mean Depth: 10 Meter --> 10 Meter No Conversion Required
Deep-Water Wavelength: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_w = (U*d^3)/λ_o^2 --> (0.147*10^3)/7^2

Evaluating ... ...

H_w = 3

STEP 3: Convert Result to Output's Unit

3 Meter --> No Conversion Required

FINAL ANSWER

3 Meter <-- Wave Height for Surface Gravity Waves

(Calculation completed in 00.020 seconds)

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Coorg Institute of Technology (CIT), Coorg

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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

Wave Height given Ursell Number Formula

LaTeX Go

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

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 Wave Height given Ursell Number?

Wave Height given Ursell Number calculator uses Wave Height for Surface Gravity Waves = (Ursell Number*Coastal Mean Depth^3)/Deep-Water Wavelength^2 to calculate the Wave Height for Surface Gravity Waves, The Wave Height given Ursell Number is defined as the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering. Wave Height for Surface Gravity Waves is denoted by H_w symbol.

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

FAQ

What is Wave Height given Ursell Number?

The Wave Height given Ursell Number is defined as the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering and is represented as H_w = (U*d^3)/λ_o^2 or Wave Height for Surface Gravity Waves = (Ursell Number*Coastal Mean Depth^3)/Deep-Water Wavelength^2. 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, 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 & Deep-Water Wavelength is the horizontal distance between two successive crests (or troughs) of the wave.

How to calculate Wave Height given Ursell Number?

The Wave Height given Ursell Number is defined as the difference between the elevations of a crest and a neighboring trough. Wave height is a term used by mariners, as well as in coastal, ocean and naval engineering is calculated using Wave Height for Surface Gravity Waves = (Ursell Number*Coastal Mean Depth^3)/Deep-Water Wavelength^2. To calculate Wave Height given Ursell Number, you need Ursell Number (U), Coastal Mean Depth (d) & Deep-Water Wavelength (λ_o). With our tool, you need to enter the respective value for Ursell Number, Coastal Mean Depth & Deep-Water Wavelength and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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