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Mean Depth given Ursell Number Formula

GoMean Depth given Second Type of Mean Fluid Speed Formula

GoMean Depth in Stokes' Second Approximation to Wave Speed if there is no Mass Transport Formula

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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. Check FAQs

d = {(\frac{H w \cdot {λ o}^{2}}{U})}^{\frac{1}{3}}

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

Mean Depth given Ursell Number Example

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

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

Here is how the Mean Depth given Ursell Number equation looks like.

10 = {(\frac{3 \cdot 7^{2}}{0.147})}^{\frac{1}{3}}

10m = {(\frac{3m \cdot {7m}^{2}}{0.147})}^{\frac{1}{3}}

10 = {(\frac{3 \cdot 7^{2}}{0.147})}^{\frac{1}{3}}

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Mean Depth given Ursell Number Solution

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

FIRST Step Consider the formula

d = {(\frac{H w \cdot {λ o}^{2}}{U})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

d = {(\frac{3m \cdot {7m}^{2}}{0.147})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

d = {(\frac{3 \cdot 7^{2}}{0.147})}^{\frac{1}{3}}

LAST Step Evaluate

∴

d = 10m

Mean Depth given Ursell Number Formula Elements

Variables

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

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

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

Other Formulas to find Coastal Mean Depth

Go Mean Depth given Second Type of Mean Fluid Speed

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

Go Mean Depth in Stokes' Second Approximation to Wave Speed if there is no Mass Transport

d = \frac{V rate}{v}

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 Mean Depth given Ursell Number?

Mean Depth given Ursell Number evaluator uses Coastal Mean Depth = ((Wave Height for Surface Gravity Waves*Deep-Water Wavelength^2)/Ursell Number)^(1/3) to evaluate the Coastal Mean Depth, The Mean Depth given Ursell Number is defined as a measure of the average depth of the fluid in a channel, pipe, or other conduit through which the fluid is flowing, calculated using Ursell number. Coastal Mean Depth is denoted by d symbol.

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

FAQs on Mean Depth given Ursell Number

What is the formula to find Mean Depth given Ursell Number?

The formula of Mean Depth given Ursell Number is expressed as Coastal Mean Depth = ((Wave Height for Surface Gravity Waves*Deep-Water Wavelength^2)/Ursell Number)^(1/3). Here is an example- 10 = ((3*7^2)/0.147)^(1/3).

How to calculate Mean Depth given Ursell Number?

With Wave Height for Surface Gravity Waves (H_w), Deep-Water Wavelength (λ_o) & Ursell Number (U) we can find Mean Depth given Ursell Number using the formula - Coastal Mean Depth = ((Wave Height for Surface Gravity Waves*Deep-Water Wavelength^2)/Ursell Number)^(1/3).

What are the other ways to Calculate Coastal Mean Depth?

Here are the different ways to Calculate Coastal Mean Depth-

Coastal Mean Depth=Rate of Volume Flow/(Fluid Stream Velocity-Mean Horizontal Fluid Velocity)
Coastal Mean Depth=Rate of Volume Flow/Wave Speed

Can the Mean Depth given Ursell Number be negative?

Yes, the Mean Depth given Ursell Number, measured in Length can be negative.

Which unit is used to measure Mean Depth given Ursell Number?

Mean Depth given Ursell Number is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Mean Depth given Ursell Number can be measured.

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Mean Depth given Ursell Number Formula

​GoMean Depth given Second Type of Mean Fluid Speed Formula

​GoMean Depth in Stokes' Second Approximation to Wave Speed if there is no Mass Transport Formula

Mean Depth given Ursell Number Example

Mean Depth given Ursell Number Solution

Mean Depth given Ursell Number Formula Elements

Other Formulas to find Coastal Mean Depth

Other formulas in Non Linear Wave Theory category

How to Evaluate Mean Depth given Ursell Number?

FAQs on Mean Depth given Ursell Number

Variable Name

GoMean Depth given Second Type of Mean Fluid Speed Formula

GoMean Depth in Stokes' Second Approximation to Wave Speed if there is no Mass Transport Formula