Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates 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%
✖Vertical Coordinate measure aligned with the Earth's gravitational force, indicating height or depth in a perpendicular direction.ⓘ Vertical Coordinate [z]			+10% -10%
✖Depth of Frictional Influence is the depth over which the turbulent eddy viscosity is important.ⓘ Depth of Frictional Influence [D_F]			+10% -10%

✖Velocity in the Current Profile defines the speed and direction of fluid flow at different points within a given area.ⓘ Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates [V_Current]

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Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity in the Current Profile = Velocity at the Surface*e^(pi*Vertical Coordinate/Depth of Frictional Influence)
V_Current = V_s*e^(pi*z/D_F)
This formula uses 2 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249

Variables Used

Velocity in the Current Profile - (Measured in Meter per Second) - Velocity in the Current Profile defines the speed and direction of fluid flow at different points within a given area.
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.
Vertical Coordinate - Vertical Coordinate measure aligned with the Earth's gravitational force, indicating height or depth in a perpendicular direction.
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
Vertical Coordinate: 160 --> No Conversion Required
Depth of Frictional Influence: 120 Meter --> 120 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_Current = V_s*e^(pi*z/D_F) --> 0.5*e^(pi*160/120)

Evaluating ... ...

V_Current = 32.9714826000322

STEP 3: Convert Result to Output's Unit

32.9714826000322 Meter per Second --> No Conversion Required

FINAL ANSWER

32.9714826000322 ≈ 32.97148 Meter per Second <-- Velocity in the Current Profile

(Calculation completed in 00.020 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

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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

Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates Formula

LaTeX Go

Velocity in the Current Profile = Velocity at the Surface*e^(pi*Vertical Coordinate/Depth of Frictional Influence)
V_Current = V_s*e^(pi*z/D_F)

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 Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates?

Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates calculator uses Velocity in the Current Profile = Velocity at the Surface*e^(pi*Vertical Coordinate/Depth of Frictional Influence) to calculate the Velocity in the Current Profile, The Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates is defined as the exponentially decrease with depth and the angle between the wind and current direction increases linearly with depth in a clockwise direction. Velocity in the Current Profile is denoted by V_Current symbol.

How to calculate Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates using this online calculator? To use this online calculator for Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates, enter Velocity at the Surface (V_s), Vertical Coordinate (z) & Depth of Frictional Influence (D_F) and hit the calculate button. Here is how the Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates calculation can be explained with given input values -> 32.97148 = 0.5*e^(pi*160/120).

FAQ

What is Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates?

The Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates is defined as the exponentially decrease with depth and the angle between the wind and current direction increases linearly with depth in a clockwise direction and is represented as V_Current = V_s*e^(pi*z/D_F) or Velocity in the Current Profile = Velocity at the Surface*e^(pi*Vertical Coordinate/Depth of Frictional Influence). Velocity at the Surface is the speed of an object or fluid at the immediate boundary with another medium, Vertical Coordinate measure aligned with the Earth's gravitational force, indicating height or depth in a perpendicular direction & Depth of Frictional Influence is the depth over which the turbulent eddy viscosity is important.

How to calculate Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates?

The Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates is defined as the exponentially decrease with depth and the angle between the wind and current direction increases linearly with depth in a clockwise direction is calculated using Velocity in the Current Profile = Velocity at the Surface*e^(pi*Vertical Coordinate/Depth of Frictional Influence). To calculate Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates, you need Velocity at the Surface (V_s), Vertical Coordinate (z) & Depth of Frictional Influence (D_F). With our tool, you need to enter the respective value for Velocity at the Surface, Vertical Coordinate & 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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