Wavelength given Ursell number Solution

STEP 0: Pre-Calculation Summary
Formula Used
Deep-Water Wavelength = ((Ursell Number*Mean Depth^3)/Wave Height for Surface Gravity Waves)^0.5
λo = ((U*d^3)/Hw)^0.5
This formula uses 4 Variables
Variables Used
Deep-Water Wavelength - (Measured in Meter) - Deep-Water Wavelength, deep water waves are defined as those occurring in ocean depths greater than twice the wavelength of the wave.
Ursell Number - Ursell Number indicates the nonlinearity of long surface gravity waves on a fluid layer.
Mean Depth - (Measured in Meter) - Mean Depth for Steady two-dimensional waves.
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.
STEP 1: Convert Input(s) to Base Unit
Ursell Number: 0.147 --> No Conversion Required
Mean Depth: 10 Meter --> 10 Meter No Conversion Required
Wave Height for Surface Gravity Waves: 3 Meter --> 3 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
λo = ((U*d^3)/Hw)^0.5 --> ((0.147*10^3)/3)^0.5
Evaluating ... ...
λo = 7
STEP 3: Convert Result to Output's Unit
7 Meter --> No Conversion Required
FINAL ANSWER
7 Meter <-- Deep-Water Wavelength
(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/Mean Depth)+0.0095721*(Deep-Water Wavelength/Mean Depth)^2+0.0077829*(Deep-Water Wavelength/Mean Depth)^3)/(1+0.078834*(Deep-Water Wavelength/Mean Depth)+0.0317567*(Deep-Water Wavelength/Mean Depth)^2+0.0093407*(Deep-Water Wavelength/Mean Depth)^3)
Mean depth given Ursell number
Go 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*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*Mean Depth^3)/Deep-Water Wavelength^2
Ursell Number
Go Ursell Number = (Wave Height for Surface Gravity Waves*Deep-Water Wavelength^2)/Mean Depth^3
Volume Flow Rate per unit Span Underneath Waves given Second Type of Mean Fluid Speed
Go Rate of Volume Flow = 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/Mean Depth)
Mean Depth given Second Type of Mean Fluid Speed
Go 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/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*Mean Depth
Mean Depth in Stokes' Second Approximation to Wave Speed if there is no Mass Transport
Go 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/Mean Depth

Wavelength given Ursell number Formula

Deep-Water Wavelength = ((Ursell Number*Mean Depth^3)/Wave Height for Surface Gravity Waves)^0.5
λo = ((U*d^3)/Hw)^0.5

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 Wavelength given Ursell number?

Wavelength given Ursell number calculator uses Deep-Water Wavelength = ((Ursell Number*Mean Depth^3)/Wave Height for Surface Gravity Waves)^0.5 to calculate the Deep-Water Wavelength, The Wavelength given Ursell number is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space. Deep-Water Wavelength is denoted by λo symbol.

How to calculate Wavelength given Ursell number using this online calculator? To use this online calculator for Wavelength given Ursell number, enter Ursell Number (U), Mean Depth (d) & Wave Height for Surface Gravity Waves (Hw) and hit the calculate button. Here is how the Wavelength given Ursell number calculation can be explained with given input values -> 26.5832 = ((0.147*10^3)/3)^0.5.

FAQ

What is Wavelength given Ursell number?
The Wavelength given Ursell number is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space and is represented as λo = ((U*d^3)/Hw)^0.5 or Deep-Water Wavelength = ((Ursell Number*Mean Depth^3)/Wave Height for Surface Gravity Waves)^0.5. Ursell Number indicates the nonlinearity of long surface gravity waves on a fluid layer, Mean Depth for Steady two-dimensional waves & 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.
How to calculate Wavelength given Ursell number?
The Wavelength given Ursell number is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space is calculated using Deep-Water Wavelength = ((Ursell Number*Mean Depth^3)/Wave Height for Surface Gravity Waves)^0.5. To calculate Wavelength given Ursell number, you need Ursell Number (U), Mean Depth (d) & Wave Height for Surface Gravity Waves (Hw). With our tool, you need to enter the respective value for Ursell Number, Mean Depth & Wave Height for Surface Gravity Waves 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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