Wavelength 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%
✖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.ⓘ Wavelength given Ursell Number [λ_o]

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Wavelength given Ursell Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deep-Water Wavelength = ((Ursell Number*Coastal Mean Depth^3)/Wave Height for Surface Gravity Waves)^0.5
λ_o = ((U*d^3)/H_w)^0.5
This formula uses 4 Variables

Variables Used

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.
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.

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
Wave Height for Surface Gravity Waves: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ_o = ((U*d^3)/H_w)^0.5 --> ((0.147*10^3)/3)^0.5

Evaluating ... ...

λ_o = 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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< 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

Wavelength given Ursell Number Formula

LaTeX Go

Deep-Water Wavelength = ((Ursell Number*Coastal Mean Depth^3)/Wave Height for Surface Gravity Waves)^0.5
λ_o = ((U*d^3)/H_w)^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*Coastal Mean Depth^3)/Wave Height for Surface Gravity Waves)^0.5 to calculate the Deep-Water Wavelength, The Wavelength given Ursell Number is defined as the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space. Deep-Water Wavelength is denoted by λ_o 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), Coastal Mean Depth (d) & Wave Height for Surface Gravity Waves (H_w) and hit the calculate button. Here is how the Wavelength given Ursell Number calculation can be explained with given input values -> 7 = ((0.147*10^3)/3)^0.5.

FAQ

What is Wavelength given Ursell Number?

The Wavelength given Ursell Number is defined as the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space and is represented as λ_o = ((U*d^3)/H_w)^0.5 or Deep-Water Wavelength = ((Ursell Number*Coastal Mean Depth^3)/Wave Height for Surface Gravity Waves)^0.5. 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 & 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 defined as 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*Coastal Mean Depth^3)/Wave Height for Surface Gravity Waves)^0.5. To calculate Wavelength given Ursell Number, you need Ursell Number (U), Coastal Mean Depth (d) & Wave Height for Surface Gravity Waves (H_w). With our tool, you need to enter the respective value for Ursell Number, Coastal 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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