Wave Height given Ursell Number Calculator

✖Ursell Number is defined as the ratio of the square of the wave height to the product of the wavelength and the water depth.ⓘ Ursell Number [U]			+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.ⓘ Coastal Mean Depth [d]			+10% -10%
✖Deep-Water Wavelength is the wavelength of a wave when the water depth is greater than half of its wavelength.ⓘ 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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Formula

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Wave Height given Ursell Number

Formula

`"H"_{"w"} = ("U"*"d"^3)/"λ"_{"o"}^2`

Example

`"3m"=("0.147"*("10m")^3)/("7m")^2`

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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 defined as the ratio of the square of the wave height to the product of the wavelength and the water depth.
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.
Deep-Water Wavelength - (Measured in Meter) - Deep-Water Wavelength is the wavelength of a wave when the water depth is greater than half of its wavelength.

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 00.004 seconds)

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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

Wave Height given Ursell Number Formula

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 defined as the ratio of the square of the wave height to the product of the wavelength and the water depth, 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 & Deep-Water Wavelength is the wavelength of a wave when the water depth is greater than half of its wavelength.

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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