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Depth given Angle between Wind and Current Direction Formula

GoDepth given Volume Flow rate per unit of Ocean Width Formula

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

D F = π \cdot \frac{z}{θ - 45}

D_F - Depth of Frictional Influence?z - Vertical Coordinate?θ - Angle between the Wind and Current Direction?π - Archimedes' constant?

Depth given Angle between Wind and Current Direction Example

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Here is how the Depth given Angle between Wind and Current Direction equation looks like with Values.

Here is how the Depth given Angle between Wind and Current Direction equation looks like with Units.

Here is how the Depth given Angle between Wind and Current Direction equation looks like.

119.9654 = 3.1416 \cdot \frac{160}{49.19 - 45}

119.9654m = 3.1416 \cdot \frac{160}{49.19 - 45}

119.9654 = 3.1416 \cdot \frac{160}{49.19 - 45}

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Depth given Angle between Wind and Current Direction Solution

Follow our step by step solution on how to calculate Depth given Angle between Wind and Current Direction?

FIRST Step Consider the formula

D F = π \cdot \frac{z}{θ - 45}

Next Step Substitute values of Variables

∴

D F = π \cdot \frac{160}{49.19 - 45}

Next Step Substitute values of Constants

∴

D F = 3.1416 \cdot \frac{160}{49.19 - 45}

Next Step Prepare to Evaluate

∴

D F = 3.1416 \cdot \frac{160}{49.19 - 45}

Next Step Evaluate

∴

D F = 119.965351927057m

LAST Step Rounding Answer

∴

D F = 119.9654m

Depth given Angle between Wind and Current Direction Formula Elements

Variables

Constants

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

Vertical Coordinate

Vertical Coordinate measure aligned with the Earth's gravitational force, indicating height or depth in a perpendicular direction.

Symbol: z

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Vertical Coordinate

Angle between the Wind and Current Direction

Angle between the Wind and Current Direction depends on vertical coordinate and depth of frictional influence.

Symbol: θ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Angle between the Wind and Current Direction

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

Other Formulas to find Depth of Frictional Influence

Go Depth given Volume Flow rate per unit of Ocean Width

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

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 Angle between Wind and Current Direction?

Depth given Angle between Wind and Current Direction evaluator uses Depth of Frictional Influence = pi*Vertical Coordinate/(Angle between the Wind and Current Direction-45) to evaluate the Depth of Frictional Influence, The Depth given Angle between Wind and Current Direction is defined as depth over which turbulent eddy viscosity is important. Depth of Frictional Influence is denoted by D_F symbol.

How to evaluate Depth given Angle between Wind and Current Direction using this online evaluator? To use this online evaluator for Depth given Angle between Wind and Current Direction, enter Vertical Coordinate (z) & Angle between the Wind and Current Direction (θ) and hit the calculate button.

FAQs on Depth given Angle between Wind and Current Direction

What is the formula to find Depth given Angle between Wind and Current Direction?

The formula of Depth given Angle between Wind and Current Direction is expressed as Depth of Frictional Influence = pi*Vertical Coordinate/(Angle between the Wind and Current Direction-45). Here is an example- 119.9654 = pi*160/(49.19-45).

How to calculate Depth given Angle between Wind and Current Direction?

With Vertical Coordinate (z) & Angle between the Wind and Current Direction (θ) we can find Depth given Angle between Wind and Current Direction using the formula - Depth of Frictional Influence = pi*Vertical Coordinate/(Angle between the Wind and Current Direction-45). This formula also uses Archimedes' constant .

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=(Volume Flow Rates per unit of Ocean Width*pi*sqrt(2))/Velocity at the Surface

Can the Depth given Angle between Wind and Current Direction be negative?

No, the Depth given Angle between Wind and Current Direction, measured in Length cannot be negative.

Which unit is used to measure Depth given Angle between Wind and Current Direction?

Depth given Angle between Wind and Current Direction is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Depth given Angle between Wind and Current Direction can be measured.

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