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)))
DEddy = pi*sqrt(εv/(ρwater*ΩE*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
DEddy = pi*sqrt(εv/(ρwaterE*sin(L))) --> pi*sqrt(0.6/(1000*7.2921159E-05*sin(0.3490658503988)))
Evaluating ... ...
DEddy = 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 00.004 seconds)

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Created by Mithila Muthamma PA
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
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)))
DEddy = pi*sqrt(εv/(ρwater*ΩE*sin(L)))

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 DEddy 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 v), Water Density water), Angular Speed of the Earth 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 DEddy = pi*sqrt(εv/(ρwaterE*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 v), Water Density water), Angular Speed of the Earth 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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