Volume Flow Rates per unit of Ocean Width Calculator

✖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 of Frictional Influence [D]			+10% -10%

✖Volume Flow Rates per unit of Ocean Width is 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]

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Formula

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Volume Flow Rates per unit of Ocean Width

Formula

`"q"_{"x"} = ("V"_{"s"}*"D")/(pi*sqrt(2))`

Example

`"13.50474m³/s"=("0.5m/s"*"120m")/(pi*sqrt(2))`

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Volume Flow Rates per unit of Ocean Width Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Volume Flow Rates per unit of Ocean Width - (Measured in Cubic Meter per Second) - Volume Flow Rates per unit of Ocean Width is 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.
Depth of Frictional Influence - (Measured in Meter) - Depth of Frictional Influence is the depth over which the turbulent eddy viscosity is important.

STEP 1: Convert Input(s) to Base Unit

Velocity at the Surface: 0.5 Meter per Second --> 0.5 Meter per Second No Conversion Required
Depth of Frictional Influence: 120 Meter --> 120 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q_x = (V_s*D)/(pi*sqrt(2)) --> (0.5*120)/(pi*sqrt(2))

Evaluating ... ...

q_x = 13.5047447423566

STEP 3: Convert Result to Output's Unit

13.5047447423566 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

13.5047447423566 ≈ 13.50474 Cubic Meter per Second <-- Volume Flow Rates per unit of Ocean Width

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Oceanography » Eckman Wind Drift » Volume Flow Rates per unit of Ocean Width

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Coorg Institute of Technology (CIT), Coorg

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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

Volume Flow Rates per unit of Ocean Width Formula

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

Volume Flow Rates per unit of Ocean Width calculator uses Volume Flow Rates per unit of Ocean Width = (Velocity at the Surface*Depth of Frictional Influence)/(pi*sqrt(2)) to calculate the Volume Flow Rates per unit of Ocean Width, The Volume Flow Rates per unit of Ocean Width is defined as the resultant transport is perpendicular in the wind direction. Volume Flow Rates per unit of Ocean Width is denoted by q_x symbol.

How to calculate Volume Flow Rates per unit of Ocean Width using this online calculator? To use this online calculator for Volume Flow Rates per unit of Ocean Width, enter Velocity at the Surface (V_s) & Depth of Frictional Influence (D) and hit the calculate button. Here is how the Volume Flow Rates per unit of Ocean Width calculation can be explained with given input values -> 13.50474 = (0.5*120)/(pi*sqrt(2)).

FAQ

What is Volume Flow Rates per unit of Ocean Width?

The Volume Flow Rates per unit of Ocean Width is defined as the resultant transport is perpendicular in the wind direction and is represented as q_x = (V_s*D)/(pi*sqrt(2)) or Volume Flow Rates per unit of Ocean Width = (Velocity at the Surface*Depth of Frictional Influence)/(pi*sqrt(2)). Velocity at the Surface is the speed of an object or fluid at the immediate boundary with another medium & Depth of Frictional Influence is the depth over which the turbulent eddy viscosity is important.

How to calculate Volume Flow Rates per unit of Ocean Width?

The Volume Flow Rates per unit of Ocean Width is defined as the resultant transport is perpendicular in the wind direction is calculated using Volume Flow Rates per unit of Ocean Width = (Velocity at the Surface*Depth of Frictional Influence)/(pi*sqrt(2)). To calculate Volume Flow Rates per unit of Ocean Width, you need Velocity at the Surface (V_s) & Depth of Frictional Influence (D). With our tool, you need to enter the respective value for Velocity at the Surface & Depth of Frictional Influence 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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