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)
VCurrent = Vs*e^(pi*z/D)
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
VCurrent = Vs*e^(pi*z/D) --> 0.5*e^(pi*160/120)
Evaluating ... ...
VCurrent = 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 00.004 seconds)

Credits

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
M Naveen has verified this Calculator and 900+ more calculators!

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

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

Velocity in the Current Profile = Velocity at the Surface*e^(pi*Vertical Coordinate/Depth of Frictional Influence)
VCurrent = Vs*e^(pi*z/D)

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 VCurrent 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 (Vs), Vertical Coordinate (z) & Depth of Frictional Influence (D) 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 VCurrent = Vs*e^(pi*z/D) 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 (Vs), Vertical Coordinate (z) & Depth of Frictional Influence (D). 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!