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Ursell Number Formula

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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. Check FAQs

U = \frac{H w \cdot {λ o}^{2}}{d^{3}}

U - Ursell Number?H_w - Wave Height for Surface Gravity Waves?λ_o - Deep-Water Wavelength?d - Coastal Mean Depth?

Ursell Number Example

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Here is how the Ursell Number equation looks like with Values.

Here is how the Ursell Number equation looks like with Units.

Here is how the Ursell Number equation looks like.

0.147 = \frac{3 \cdot 7^{2}}{10^{3}}

0.147 = \frac{3m \cdot {7m}^{2}}{{10m}^{3}}

0.147 = \frac{3 \cdot 7^{2}}{10^{3}}

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Ursell Number Solution

Follow our step by step solution on how to calculate Ursell Number?

FIRST Step Consider the formula

U = \frac{H w \cdot {λ o}^{2}}{d^{3}}

Next Step Substitute values of Variables

∴

U = \frac{3m \cdot {7m}^{2}}{{10m}^{3}}

Next Step Prepare to Evaluate

∴

U = \frac{3 \cdot 7^{2}}{10^{3}}

LAST Step Evaluate

∴

U = 0.147

Ursell Number Formula Elements

Variables

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.

Symbol: U

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Ursell Number

Wave Height for Surface Gravity 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.

Symbol: H_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Wave Height for Surface Gravity Waves

Deep-Water Wavelength

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

Symbol: λ_o

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Deep-Water Wavelength

Coastal Mean Depth

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.

Symbol: d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Coastal Mean Depth

Other formulas in Non Linear Wave Theory category

Go Wave Height given Ursell Number

H w = \frac{U \cdot d^{3}}{{λ o}^{2}}

Go First Type of Mean Fluid Speed

U h = C f - v

Go Second Type of Mean Fluid Speed

U h = C f - (\frac{V rate}{d})

Go Wave Speed given First Type of Mean Fluid Speed

v = C f - U h

How to Evaluate Ursell Number?

Ursell Number evaluator uses Ursell Number = (Wave Height for Surface Gravity Waves*Deep-Water Wavelength^2)/Coastal Mean Depth^3 to evaluate the Ursell Number, The Ursell Number is defined as 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. Ursell Number is denoted by U symbol.

How to evaluate Ursell Number using this online evaluator? To use this online evaluator for Ursell Number, enter Wave Height for Surface Gravity Waves (H_w), Deep-Water Wavelength (λ_o) & Coastal Mean Depth (d) and hit the calculate button.

FAQs on Ursell Number

What is the formula to find Ursell Number?

The formula of Ursell Number is expressed as Ursell Number = (Wave Height for Surface Gravity Waves*Deep-Water Wavelength^2)/Coastal Mean Depth^3. Here is an example- 0.147 = (3*7^2)/10^3.

How to calculate Ursell Number?

With Wave Height for Surface Gravity Waves (H_w), Deep-Water Wavelength (λ_o) & Coastal Mean Depth (d) we can find Ursell Number using the formula - Ursell Number = (Wave Height for Surface Gravity Waves*Deep-Water Wavelength^2)/Coastal Mean Depth^3.

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Ursell Number Formula

Ursell Number Example

Ursell Number Solution

Ursell Number Formula Elements

Other formulas in Non Linear Wave Theory category

How to Evaluate Ursell Number?

FAQs on Ursell Number

Variable Name