Depth of Frictional Influence by Eckman Calculator

✖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 [ε_v]			+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%

✖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]

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Depth of Frictional Influence by Eckman Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
D_Eddy = pi*sqrt(ε_v/(ρ_water*Ω_E*sin(L)))
This formula uses 1 Constants, 2 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)
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., sqrt(Number)

Variables Used

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.
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.
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

Vertical Eddy Viscosity Coefficient: 0.6 --> 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

D_Eddy = pi*sqrt(ε_v/(ρ_water*Ω_E*sin(L))) --> pi*sqrt(0.6/(1000*7.2921159E-05*sin(0.3490658503988)))

Evaluating ... ...

D_Eddy = 15.4089439078127

STEP 3: Convert Result to Output's Unit

15.4089439078127 Meter --> No Conversion Required

FINAL ANSWER

15.4089439078127 ≈ 15.40894 Meter <-- Depth of Frictional Influence by Eckman

(Calculation completed in 00.007 seconds)

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Coorg Institute of Technology (CIT), Coorg

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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

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 Depth of Frictional Influence by Eckman?

Depth of Frictional Influence by Eckman calculator 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 calculate 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 calculate Depth of Frictional Influence by Eckman using this online calculator? To use this online calculator 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. Here is how the Depth of Frictional Influence by Eckman calculation can be explained with given input values -> 15.40894 = pi*sqrt(0.6/(1000*7.2921159E-05*sin(0.3490658503988))).

FAQ

What is 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 and is represented as D_Eddy = pi*sqrt(ε_v/(ρ_water*Ω_E*sin(L))) or 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 is a coefficient relating the average shear stress within a turbulent flow of water or air to the vertical gradient of velocity, 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 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 is calculated using 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 calculate Depth of Frictional Influence by Eckman, you need 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). With our tool, you need to enter the respective value for Vertical Eddy Viscosity Coefficient, 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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