Depth given Angle between Wind and Current Direction Solution

STEP 0: Pre-Calculation Summary
Formula Used
Depth of Frictional Influence = pi*Vertical Coordinate/(Angle between the Wind and Current Direction-45)
DF = pi*z/(θ-45)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Depth of Frictional Influence - (Measured in Meter) - Depth of Frictional Influence is the depth over which the turbulent eddy viscosity is important.
Vertical Coordinate - Vertical Coordinate measure aligned with the Earth's gravitational force, indicating height or depth in a perpendicular direction.
Angle between the Wind and Current Direction - Angle between the Wind and Current Direction depends on vertical coordinate and depth of frictional influence.
STEP 1: Convert Input(s) to Base Unit
Vertical Coordinate: 160 --> No Conversion Required
Angle between the Wind and Current Direction: 49.19 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
DF = pi*z/(θ-45) --> pi*160/(49.19-45)
Evaluating ... ...
DF = 119.965351927057
STEP 3: Convert Result to Output's Unit
119.965351927057 Meter --> No Conversion Required
FINAL ANSWER
119.965351927057 119.9654 Meter <-- Depth of Frictional Influence
(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 given Angle between Wind and Current Direction Formula

​LaTeX ​Go
Depth of Frictional Influence = pi*Vertical Coordinate/(Angle between the Wind and Current Direction-45)
DF = pi*z/(θ-45)

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 given Angle between Wind and Current Direction?

Depth given Angle between Wind and Current Direction calculator uses Depth of Frictional Influence = pi*Vertical Coordinate/(Angle between the Wind and Current Direction-45) to calculate the Depth of Frictional Influence, The Depth given Angle between Wind and Current Direction is defined as depth over which turbulent eddy viscosity is important. Depth of Frictional Influence is denoted by DF symbol.

How to calculate Depth given Angle between Wind and Current Direction using this online calculator? To use this online calculator for Depth given Angle between Wind and Current Direction, enter Vertical Coordinate (z) & Angle between the Wind and Current Direction (θ) and hit the calculate button. Here is how the Depth given Angle between Wind and Current Direction calculation can be explained with given input values -> 119.9654 = pi*160/(49.19-45).

FAQ

What is Depth given Angle between Wind and Current Direction?
The Depth given Angle between Wind and Current Direction is defined as depth over which turbulent eddy viscosity is important and is represented as DF = pi*z/(θ-45) or Depth of Frictional Influence = pi*Vertical Coordinate/(Angle between the Wind and Current Direction-45). Vertical Coordinate measure aligned with the Earth's gravitational force, indicating height or depth in a perpendicular direction & Angle between the Wind and Current Direction depends on vertical coordinate and depth of frictional influence.
How to calculate Depth given Angle between Wind and Current Direction?
The Depth given Angle between Wind and Current Direction is defined as depth over which turbulent eddy viscosity is important is calculated using Depth of Frictional Influence = pi*Vertical Coordinate/(Angle between the Wind and Current Direction-45). To calculate Depth given Angle between Wind and Current Direction, you need Vertical Coordinate (z) & Angle between the Wind and Current Direction (θ). With our tool, you need to enter the respective value for Vertical Coordinate & Angle between the Wind and Current Direction and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Depth of Frictional Influence?
In this formula, Depth of Frictional Influence uses Vertical Coordinate & Angle between the Wind and Current Direction. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Depth of Frictional Influence = (Volume Flow Rates per unit of Ocean Width*pi*sqrt(2))/Velocity at the Surface
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