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
εv = (DEddy^2*ρwater*ΩE*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
εv = (DEddy^2*ρwaterE*sin(L))/pi^2 --> (15.01^2*1000*7.2921159E-05*sin(0.3490658503988))/pi^2
Evaluating ... ...
εv = 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 00.004 seconds)

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15 Eckman Wind Drift Calculators

Velocity at Surface given Velocity Component along Horizontal x Axis
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
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
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)))
Latitude given Depth of Frictional Influence by Eckman
Go Latitude of a Position on Earth Surface = asin(Vertical Eddy Viscosity Coefficient/(Water Density*Angular Speed of the Earth*(Depth of Frictional Influence by Eckman/pi)^2))
Vertical Eddy Viscosity Coefficient given Depth of Frictional Influence by Eckman
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
Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates
Go Velocity in the Current Profile = Velocity at the Surface*e^(pi*Vertical Coordinate/Depth of Frictional Influence)
Volume Flow Rates per unit of Ocean Width
Go Volume Flow Rates per unit of Ocean Width = (Velocity at the Surface*Depth of Frictional Influence)/(pi*sqrt(2))
Depth given Volume Flow rate per unit of Ocean Width
Go Depth of Frictional Influence = (Volume Flow Rates per unit of Ocean Width*pi*sqrt(2))/Velocity at the Surface
Velocity at Surface given Velocity detail of Current Profile in Three Dimensions
Go Velocity at the Surface = Current Profile Velocity/(e^(pi*Vertical Coordinate/Depth of Frictional Influence))
Vertical Coordinate from Ocean Surface given Angle between Wind and Current Direction
Go Vertical Coordinate = Depth of Frictional Influence*(Angle between the Wind and Current Direction-45)/pi
Depth given Angle between Wind and Current Direction
Go Depth of Frictional Influence = pi*Vertical Coordinate/(Angle between the Wind and Current Direction-45)
Angle between Wind and Current Direction
Go Angle between the Wind and Current Direction = 45+(pi*Vertical Coordinate/Depth of Frictional Influence)
Density given Atmospheric Pressure whose value of Thousand is reduced from Density Value
Go Density of Salt Water = Difference of Density Values+1000
Atmospheric Pressure as function of Salinity and Temperature
Go Difference of Density Values = 0.75*Salinity of Water
Salinity given Atmospheric Pressure
Go Salinity of Water = Difference of Density Values/0.75

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

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
εv = (DEddy^2*ρwater*ΩE*sin(L))/pi^2

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 εv 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 (DEddy), 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 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 εv = (DEddy^2*ρwaterE*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 (DEddy), 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 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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