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

✖Depth of Frictional Influence by Eckman is the layer where ocean currents slow due to surface friction.ⓘ Depth of Frictional Influence by Eckman [D_Eddy]			+10% -10%
✖Water Density is mass per unit of water.ⓘ Water Density [ρ_water]			+10% -10%
✖Angular Speed of the Earth is the measure of how fast the central angle of a rotating body changes with respect to time.ⓘ Angular Speed of the Earth [Ω_E]			+10% -10%
✖The Latitude of a Position on Earth Surface is the measurement of distance north or south of the Equator.ⓘ Latitude of a Position on Earth Surface [L]			+10% -10%

✖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.ⓘ Vertical Eddy Viscosity Coefficient given Depth of Frictional Influence by Eckman [ε_v]

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

STEP 0: Pre-Calculation Summary

Formula Used

Vertical Eddy Viscosity Coefficient = (Depth of Frictional Influence by Eckman^2*Water Density*Angular Speed of the Earth*sin(Latitude of a Position on Earth Surface))/pi^2
ε_v = (D_Eddy^2*ρ_water*Ω_E*sin(L))/pi^2
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., sin(Angle)

Variables Used

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.
Depth of Frictional Influence by Eckman - (Measured in Meter) - Depth of Frictional Influence by Eckman is the layer where ocean currents slow due to surface friction.
Water Density - (Measured in Kilogram per Cubic Meter) - Water Density is mass per unit of water.
Angular Speed of the Earth - (Measured in Radian per Second) - Angular Speed of the Earth is the measure of how fast the central angle of a rotating body changes with respect to time.
Latitude of a Position on Earth Surface - (Measured in Radian) - The Latitude of a Position on Earth Surface is the measurement of distance north or south of the Equator.

STEP 1: Convert Input(s) to Base Unit

Depth of Frictional Influence by Eckman: 15.01 Meter --> 15.01 Meter No Conversion Required
Water Density: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required
Angular Speed of the Earth: 7.2921159E-05 Radian per Second --> 7.2921159E-05 Radian per Second No Conversion Required
Latitude of a Position on Earth Surface: 20 Degree --> 0.3490658503988 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε_v = (D_Eddy^2*ρ_water*Ω_E*sin(L))/pi^2 --> (15.01^2*1000*7.2921159E-05*sin(0.3490658503988))/pi^2

Evaluating ... ...

ε_v = 0.569333693542187

STEP 3: Convert Result to Output's Unit

0.569333693542187 --> No Conversion Required

FINAL ANSWER

0.569333693542187 ≈ 0.569334 <-- Vertical Eddy Viscosity Coefficient

(Calculation completed in 00.007 seconds)

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< Eckman Wind Drift Calculators

Velocity at Surface given Velocity Component along Horizontal x Axis

LaTeX Go Velocity at the Surface = Velocity Component along a Horizontal x Axis/(e^(pi*Vertical Coordinate/Depth of Frictional Influence)*cos(45+(pi*Vertical Coordinate/Depth of Frictional Influence)))

Velocity Component along Horizontal x Axis

LaTeX Go Velocity Component along a Horizontal x Axis = Velocity at the Surface*e^(pi*Vertical Coordinate/Depth of Frictional Influence)*cos(45+(pi*Vertical Coordinate/Depth of Frictional Influence))

Depth of Frictional Influence by Eckman

LaTeX Go 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)))

Vertical Eddy Viscosity Coefficient given Depth of Frictional Influence by Eckman

LaTeX Go Vertical Eddy Viscosity Coefficient = (Depth of Frictional Influence by Eckman^2*Water Density*Angular Speed of the Earth*sin(Latitude of a Position on Earth Surface))/pi^2

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

LaTeX Go

What is Ocean dynamics?

Ocean dynamics define and describe the motion of water within the oceans. Ocean temperature and motion fields can be separated into three distinct layers: mixed (surface) layer, upper ocean (above the thermocline), and deep ocean. Ocean dynamics has traditionally been investigated by sampling from instruments in situ.

How to Calculate Vertical Eddy Viscosity Coefficient given Depth of Frictional Influence by Eckman?

Vertical Eddy Viscosity Coefficient given Depth of Frictional Influence by Eckman calculator uses Vertical Eddy Viscosity Coefficient = (Depth of Frictional Influence by Eckman^2*Water Density*Angular Speed of the Earth*sin(Latitude of a Position on Earth Surface))/pi^2 to calculate the Vertical Eddy Viscosity Coefficient, The Vertical Eddy Viscosity Coefficient given Depth of Frictional Influence by Eckman is defined as the ocean surface remains horizontal; the only driving force comes from the wind shear stress. Vertical Eddy Viscosity Coefficient is denoted by ε_v symbol.

How to calculate Vertical Eddy Viscosity Coefficient given Depth of Frictional Influence by Eckman using this online calculator? To use this online calculator for Vertical Eddy Viscosity Coefficient given Depth of Frictional Influence by Eckman, enter Depth of Frictional Influence by Eckman (D_Eddy), Water Density (ρ_water), Angular Speed of the Earth (Ω_E) & Latitude of a Position on Earth Surface (L) and hit the calculate button. Here is how the Vertical Eddy Viscosity Coefficient given Depth of Frictional Influence by Eckman calculation can be explained with given input values -> 0.568575 = (15.01^2*1000*7.2921159E-05*sin(0.3490658503988))/pi^2.

FAQ

What is Vertical Eddy Viscosity Coefficient given Depth of Frictional Influence by Eckman?

The Vertical Eddy Viscosity Coefficient given Depth of Frictional Influence by Eckman is defined as the ocean surface remains horizontal; the only driving force comes from the wind shear stress and is represented as ε_v = (D_Eddy^2*ρ_water*Ω_E*sin(L))/pi^2 or Vertical Eddy Viscosity Coefficient = (Depth of Frictional Influence by Eckman^2*Water Density*Angular Speed of the Earth*sin(Latitude of a Position on Earth Surface))/pi^2. Depth of Frictional Influence by Eckman is the layer where ocean currents slow due to surface friction, Water Density is mass per unit of water, Angular Speed of the Earth is the measure of how fast the central angle of a rotating body changes with respect to time & The Latitude of a Position on Earth Surface is the measurement of distance north or south of the Equator.

How to calculate Vertical Eddy Viscosity Coefficient given Depth of Frictional Influence by Eckman?

The Vertical Eddy Viscosity Coefficient given Depth of Frictional Influence by Eckman is defined as the ocean surface remains horizontal; the only driving force comes from the wind shear stress is calculated using Vertical Eddy Viscosity Coefficient = (Depth of Frictional Influence by Eckman^2*Water Density*Angular Speed of the Earth*sin(Latitude of a Position on Earth Surface))/pi^2. To calculate Vertical Eddy Viscosity Coefficient given Depth of Frictional Influence by Eckman, you need Depth of Frictional Influence by Eckman (D_Eddy), Water Density (ρ_water), Angular Speed of the Earth (Ω_E) & Latitude of a Position on Earth Surface (L). With our tool, you need to enter the respective value for Depth of Frictional Influence by Eckman, Water Density, Angular Speed of the Earth & Latitude of a Position on Earth Surface and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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