Depth given Volume Flow rate per unit of Ocean Width Calculator

✖Volume Flow Rates per Unit of Ocean Width quantify the volume of water moving horizontally across a unit width of the ocean.ⓘ Volume Flow Rates per unit of Ocean Width [q_x]			+10% -10%
✖Velocity at the Surface is the speed of an object or fluid at the immediate boundary with another medium.ⓘ Velocity at the Surface [V_s]			+10% -10%

✖Depth of Frictional Influence is the depth over which the turbulent eddy viscosity is important.ⓘ Depth given Volume Flow rate per unit of Ocean Width [D_F]

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Depth given Volume Flow rate per unit of Ocean Width Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depth of Frictional Influence = (Volume Flow Rates per unit of Ocean Width*pi*sqrt(2))/Velocity at the Surface
D_F = (q_x*pi*sqrt(2))/V_s
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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 - (Measured in Meter) - Depth of Frictional Influence is the depth over which the turbulent eddy viscosity is important.
Volume Flow Rates per unit of Ocean Width - (Measured in Cubic Meter per Second) - Volume Flow Rates per Unit of Ocean Width quantify the volume of water moving horizontally across a unit width of the ocean.
Velocity at the Surface - (Measured in Meter per Second) - Velocity at the Surface is the speed of an object or fluid at the immediate boundary with another medium.

STEP 1: Convert Input(s) to Base Unit

Volume Flow Rates per unit of Ocean Width: 13.5 Cubic Meter per Second --> 13.5 Cubic Meter per Second No Conversion Required
Velocity at the Surface: 0.5 Meter per Second --> 0.5 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_F = (q_x*pi*sqrt(2))/V_s --> (13.5*pi*sqrt(2))/0.5

Evaluating ... ...

D_F = 119.957839330276

STEP 3: Convert Result to Output's Unit

119.957839330276 Meter --> No Conversion Required

FINAL ANSWER

119.957839330276 ≈ 119.9578 Meter <-- Depth of Frictional Influence

(Calculation completed in 00.004 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

Depth given Volume Flow rate per unit of Ocean Width Formula

LaTeX Go

Depth of Frictional Influence = (Volume Flow Rates per unit of Ocean Width*pi*sqrt(2))/Velocity at the Surface
D_F = (q_x*pi*sqrt(2))/V_s

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 Volume Flow rate per unit of Ocean Width?

Depth given Volume Flow rate per unit of Ocean Width calculator uses Depth of Frictional Influence = (Volume Flow Rates per unit of Ocean Width*pi*sqrt(2))/Velocity at the Surface to calculate the Depth of Frictional Influence, the Depth given Volume Flow rate per unit of Ocean Width is defined as depth of frictional influence or depth over which turbulent is important. Depth of Frictional Influence is denoted by D_F symbol.

How to calculate Depth given Volume Flow rate per unit of Ocean Width using this online calculator? To use this online calculator for Depth given Volume Flow rate per unit of Ocean Width, enter Volume Flow Rates per unit of Ocean Width (q_x) & Velocity at the Surface (V_s) and hit the calculate button. Here is how the Depth given Volume Flow rate per unit of Ocean Width calculation can be explained with given input values -> 119.9578 = (13.5*pi*sqrt(2))/0.5.

FAQ

What is Depth given Volume Flow rate per unit of Ocean Width?

the Depth given Volume Flow rate per unit of Ocean Width is defined as depth of frictional influence or depth over which turbulent is important and is represented as D_F = (q_x*pi*sqrt(2))/V_s or Depth of Frictional Influence = (Volume Flow Rates per unit of Ocean Width*pi*sqrt(2))/Velocity at the Surface. Volume Flow Rates per Unit of Ocean Width quantify the volume of water moving horizontally across a unit width of the ocean & Velocity at the Surface is the speed of an object or fluid at the immediate boundary with another medium.

How to calculate Depth given Volume Flow rate per unit of Ocean Width?

the Depth given Volume Flow rate per unit of Ocean Width is defined as depth of frictional influence or depth over which turbulent is important is calculated using Depth of Frictional Influence = (Volume Flow Rates per unit of Ocean Width*pi*sqrt(2))/Velocity at the Surface. To calculate Depth given Volume Flow rate per unit of Ocean Width, you need Volume Flow Rates per unit of Ocean Width (q_x) & Velocity at the Surface (V_s). With our tool, you need to enter the respective value for Volume Flow Rates per unit of Ocean Width & Velocity at the Surface 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 Volume Flow Rates per unit of Ocean Width & Velocity at the Surface. We can use 1 other way(s) to calculate the same, which is/are as follows -

Depth of Frictional Influence = pi*Vertical Coordinate/(Angle between the Wind and Current Direction-45)

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