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Depth given Volume Flow rate per unit of Ocean Width Formula

GoDepth given Angle between Wind and Current Direction Formula

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Depth of Frictional Influence is the depth over which the turbulent eddy viscosity is important. Check FAQs

D F = \frac{q x \cdot π \cdot \sqrt{2}}{V s}

D_F - Depth of Frictional Influence?q_x - Volume Flow Rates per unit of Ocean Width?V_s - Velocity at the Surface?π - Archimedes' constant?

Depth given Volume Flow rate per unit of Ocean Width Example

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Here is how the Depth given Volume Flow rate per unit of Ocean Width equation looks like with Values.

Here is how the Depth given Volume Flow rate per unit of Ocean Width equation looks like with Units.

Here is how the Depth given Volume Flow rate per unit of Ocean Width equation looks like.

119.9578 = \frac{13.5 \cdot 3.1416 \cdot \sqrt{2}}{0.5}

119.9578m = \frac{13.5m³/s \cdot 3.1416 \cdot \sqrt{2}}{0.5m/s}

119.9578 = \frac{13.5 \cdot 3.1416 \cdot \sqrt{2}}{0.5}

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Depth given Volume Flow rate per unit of Ocean Width Solution

Follow our step by step solution on how to calculate Depth given Volume Flow rate per unit of Ocean Width?

FIRST Step Consider the formula

D F = \frac{q x \cdot π \cdot \sqrt{2}}{V s}

Next Step Substitute values of Variables

∴

D F = \frac{13.5m³/s \cdot π \cdot \sqrt{2}}{0.5m/s}

Next Step Substitute values of Constants

∴

D F = \frac{13.5m³/s \cdot 3.1416 \cdot \sqrt{2}}{0.5m/s}

Next Step Prepare to Evaluate

∴

D F = \frac{13.5 \cdot 3.1416 \cdot \sqrt{2}}{0.5}

Next Step Evaluate

∴

D F = 119.957839330276m

LAST Step Rounding Answer

∴

D F = 119.9578m

Depth given Volume Flow rate per unit of Ocean Width Formula Elements

Variables

Constants

Functions

Depth of Frictional Influence

Depth of Frictional Influence is the depth over which the turbulent eddy viscosity is important.

Symbol: D_F

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Frictional Influence

Volume Flow Rates per unit of Ocean Width

Volume Flow Rates per Unit of Ocean Width quantify the volume of water moving horizontally across a unit width of the ocean.

Symbol: q_x

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Volume Flow Rates per unit of Ocean Width

Velocity at the Surface

Velocity at the Surface is the speed of an object or fluid at the immediate boundary with another medium.

Symbol: V_s

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity at the Surface

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Depth of Frictional Influence

Go Depth given Angle between Wind and Current Direction

D F = π \cdot \frac{z}{θ - 45}

Other formulas in Eckman Wind Drift category

Go Velocity Component along Horizontal x Axis

u x = V s \cdot e^{π \cdot \frac{z}{D F}} \cdot \cos (45 + (π \cdot \frac{z}{D F}))

Go Velocity at Surface given Velocity Component along Horizontal x Axis

V s = \frac{u x}{e^{π \cdot \frac{z}{D F}} \cdot \cos (45 + (π \cdot \frac{z}{D F}))}

Go Depth of Frictional Influence by Eckman

D Eddy = π \cdot \sqrt{\frac{ε v}{ρ water \cdot Ω E \cdot \sin (L)}}

Go Vertical Eddy Viscosity Coefficient given Depth of Frictional Influence by Eckman

ε v = \frac{{D Eddy}^{2} \cdot ρ water \cdot Ω E \cdot \sin (L)}{π^{2}}

How to Evaluate Depth given Volume Flow rate per unit of Ocean Width?

Depth given Volume Flow rate per unit of Ocean Width evaluator uses Depth of Frictional Influence = (Volume Flow Rates per unit of Ocean Width*pi*sqrt(2))/Velocity at the Surface to evaluate the Depth of Frictional Influence, the Depth given Volume Flow rate per unit of Ocean Width is defined as depth of frictional influence or depth over which turbulent is important. Depth of Frictional Influence is denoted by D_F symbol.

How to evaluate Depth given Volume Flow rate per unit of Ocean Width using this online evaluator? To use this online evaluator for Depth given Volume Flow rate per unit of Ocean Width, enter Volume Flow Rates per unit of Ocean Width (q_x) & Velocity at the Surface (V_s) and hit the calculate button.

FAQs on Depth given Volume Flow rate per unit of Ocean Width

What is the formula to find Depth given Volume Flow rate per unit of Ocean Width?

The formula of Depth given Volume Flow rate per unit of Ocean Width is expressed as Depth of Frictional Influence = (Volume Flow Rates per unit of Ocean Width*pi*sqrt(2))/Velocity at the Surface. Here is an example- 119.9578 = (13.5*pi*sqrt(2))/0.5.

How to calculate Depth given Volume Flow rate per unit of Ocean Width?

With Volume Flow Rates per unit of Ocean Width (q_x) & Velocity at the Surface (V_s) we can find Depth given Volume Flow rate per unit of Ocean Width using the formula - Depth of Frictional Influence = (Volume Flow Rates per unit of Ocean Width*pi*sqrt(2))/Velocity at the Surface. This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Depth of Frictional Influence?

Here are the different ways to Calculate Depth of Frictional Influence-

Depth of Frictional Influence=pi*Vertical Coordinate/(Angle between the Wind and Current Direction-45)

Can the Depth given Volume Flow rate per unit of Ocean Width be negative?

No, the Depth given Volume Flow rate per unit of Ocean Width, measured in Length cannot be negative.

Which unit is used to measure Depth given Volume Flow rate per unit of Ocean Width?

Depth given Volume Flow rate per unit of Ocean Width is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Depth given Volume Flow rate per unit of Ocean Width can be measured.

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