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Depth of Frictional Influence by Eckman Formula

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Depth of Frictional Influence by Eckman is the layer where ocean currents slow due to surface friction. Check FAQs

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

D_Eddy - Depth of Frictional Influence by Eckman?ε_v - Vertical Eddy Viscosity Coefficient?ρ_water - Water Density?Ω_E - Angular Speed of the Earth?L - Latitude of a Position on Earth Surface?π - Archimedes' constant?

Depth of Frictional Influence by Eckman Example

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Here is how the Depth of Frictional Influence by Eckman equation looks like with Values.

Here is how the Depth of Frictional Influence by Eckman equation looks like with Units.

Here is how the Depth of Frictional Influence by Eckman equation looks like.

15.4089 = 3.1416 \cdot \sqrt{\frac{0.6}{1000 \cdot 7.3E-5 \cdot \sin (20)}}

15.4089m = 3.1416 \cdot \sqrt{\frac{0.6}{1000kg/m³ \cdot 7.3E-5rad/s \cdot \sin (20°)}}

15.4089 = 3.1416 \cdot \sqrt{\frac{0.6}{1000 \cdot 7.3E-5 \cdot \sin (20)}}

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Depth of Frictional Influence by Eckman Solution

Follow our step by step solution on how to calculate Depth of Frictional Influence by Eckman?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D Eddy = π \cdot \sqrt{\frac{0.6}{1000kg/m³ \cdot 7.3E-5rad/s \cdot \sin (20°)}}

Next Step Substitute values of Constants

∴

D Eddy = 3.1416 \cdot \sqrt{\frac{0.6}{1000kg/m³ \cdot 7.3E-5rad/s \cdot \sin (20°)}}

Next Step Convert Units

∴

D Eddy = 3.1416 \cdot \sqrt{\frac{0.6}{1000kg/m³ \cdot 7.3E-5rad/s \cdot \sin (0.3491rad)}}

Next Step Prepare to Evaluate

∴

D Eddy = 3.1416 \cdot \sqrt{\frac{0.6}{1000 \cdot 7.3E-5 \cdot \sin (0.3491)}}

Next Step Evaluate

∴

D Eddy = 15.4089439078127m

LAST Step Rounding Answer

∴

D Eddy = 15.4089m

Depth of Frictional Influence by Eckman Formula Elements

Variables

Constants

Functions

Depth of Frictional Influence by Eckman

Depth of Frictional Influence by Eckman is the layer where ocean currents slow due to surface friction.

Symbol: D_Eddy

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Depth of Frictional Influence by Eckman

Vertical Eddy Viscosity Coefficient

Vertical Eddy Viscosity Coefficient is a coefficient relating the average shear stress within a turbulent flow of water or air to the vertical gradient of velocity.

Symbol: ε_v

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Vertical Eddy Viscosity Coefficient

Water Density

Water Density is mass per unit of water.

Symbol: ρ_water

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Water Density

Angular Speed of the Earth

Angular Speed of the Earth is the measure of how fast the central angle of a rotating body changes with respect to time.

Symbol: Ω_E

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Speed of the Earth

Latitude of a Position on Earth Surface

The Latitude of a Position on Earth Surface is the measurement of distance north or south of the Equator.

Symbol: L

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Latitude of a Position on Earth 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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

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 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 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}}

Go Latitude given Depth of Frictional Influence by Eckman

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

How to Evaluate Depth of Frictional Influence by Eckman?

Depth of Frictional Influence by Eckman evaluator uses Depth of Frictional Influence by Eckman = pi*sqrt(Vertical Eddy Viscosity Coefficient/(Water Density*Angular Speed of the Earth*sin(Latitude of a Position on Earth Surface))) to evaluate the Depth of Frictional Influence by Eckman, The Depth of Frictional Influence by Eckman is defined as the depth over which turbulent Eddy viscosity is important and is defined as the depth at which the velocity is about 1/23 of its value at the surface and is directed in the Opposite direction. Depth of Frictional Influence by Eckman is denoted by D_Eddy symbol.

How to evaluate Depth of Frictional Influence by Eckman using this online evaluator? To use this online evaluator for Depth of Frictional Influence by Eckman, enter Vertical Eddy Viscosity Coefficient (ε_v), Water Density (ρ_water), Angular Speed of the Earth (Ω_E) & Latitude of a Position on Earth Surface (L) and hit the calculate button.

FAQs on Depth of Frictional Influence by Eckman

What is the formula to find Depth of Frictional Influence by Eckman?

The formula of Depth of Frictional Influence by Eckman is expressed as Depth of Frictional Influence by Eckman = pi*sqrt(Vertical Eddy Viscosity Coefficient/(Water Density*Angular Speed of the Earth*sin(Latitude of a Position on Earth Surface))). Here is an example- 15.40894 = pi*sqrt(0.6/(1000*7.2921159E-05*sin(0.3490658503988))).

How to calculate Depth of Frictional Influence by Eckman?

With Vertical Eddy Viscosity Coefficient (ε_v), Water Density (ρ_water), Angular Speed of the Earth (Ω_E) & Latitude of a Position on Earth Surface (L) we can find Depth of Frictional Influence by Eckman using the formula - Depth of Frictional Influence by Eckman = pi*sqrt(Vertical Eddy Viscosity Coefficient/(Water Density*Angular Speed of the Earth*sin(Latitude of a Position on Earth Surface))). This formula also uses Archimedes' constant and , Sine (sin), Square Root (sqrt) function(s).

Can the Depth of Frictional Influence by Eckman be negative?

Yes, the Depth of Frictional Influence by Eckman, measured in Length can be negative.

Which unit is used to measure Depth of Frictional Influence by Eckman?

Depth of Frictional Influence by Eckman is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Depth of Frictional Influence by Eckman can be measured.

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Depth of Frictional Influence by Eckman Formula

Depth of Frictional Influence by Eckman Example

Depth of Frictional Influence by Eckman Solution

Depth of Frictional Influence by Eckman Formula Elements

Other formulas in Eckman Wind Drift category

How to Evaluate Depth of Frictional Influence by Eckman?

FAQs on Depth of Frictional Influence by Eckman

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