Tangential Velocity for 2-D Vortex Flow Calculator

✖Vortex Strength measure of the intensity or magnitude of a vortex, such as in fluid dynamics. A vortex is a region within a fluid where the flow revolves around an axis line.ⓘ Vortex Strength [γ]			+10% -10%
✖Radial Coordinate for an object refers to the coordinate of the object that moves in radial direction from a point of origin.ⓘ Radial Coordinate [r]			+10% -10%

✖Tangential Velocity is the component of velocity in the tangential direction.ⓘ Tangential Velocity for 2-D Vortex Flow [V_θ]

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Tangential Velocity for 2-D Vortex Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tangential Velocity = -(Vortex Strength)/(2*pi*Radial Coordinate)
V_θ = -(γ)/(2*pi*r)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Tangential Velocity - (Measured in Meter per Second) - Tangential Velocity is the component of velocity in the tangential direction.
Vortex Strength - (Measured in Square Meter per Second) - Vortex Strength measure of the intensity or magnitude of a vortex, such as in fluid dynamics. A vortex is a region within a fluid where the flow revolves around an axis line.
Radial Coordinate - (Measured in Meter) - Radial Coordinate for an object refers to the coordinate of the object that moves in radial direction from a point of origin.

STEP 1: Convert Input(s) to Base Unit

Vortex Strength: -420 Square Meter per Second --> -420 Square Meter per Second No Conversion Required
Radial Coordinate: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_θ = -(γ)/(2*pi*r) --> -((-420))/(2*pi*9)

Evaluating ... ...

V_θ = 7.42723067762178

STEP 3: Convert Result to Output's Unit

7.42723067762178 Meter per Second --> No Conversion Required

FINAL ANSWER

7.42723067762178 ≈ 7.427231 Meter per Second <-- Tangential Velocity

(Calculation completed in 00.004 seconds)

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Created by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

Shikha Maurya has created this Calculator and 100+ more calculators!

Verified by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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< Vortex Flow Calculators

Stream Function for 2-D Vortex Flow

LaTeX Go Vortex Stream Function = Vortex Strength/(2*pi)*ln(Radial Coordinate)

Tangential Velocity for 2-D Vortex Flow

LaTeX Go Tangential Velocity = -(Vortex Strength)/(2*pi*Radial Coordinate)

Velocity Potential for 2-D Vortex Flow

LaTeX Go Velocity Potential = -(Vortex Strength/(2*pi))*Polar Angle

Tangential Velocity for 2-D Vortex Flow Formula

LaTeX Go

Tangential Velocity = -(Vortex Strength)/(2*pi*Radial Coordinate)
V_θ = -(γ)/(2*pi*r)

What are points in the vortex flow at which flow is irrotational and incompressible?

Vortex flow is a physically possible incompressible flow at every point, and it is irrotational, at every point except the origin.

How to Calculate Tangential Velocity for 2-D Vortex Flow?

Tangential Velocity for 2-D Vortex Flow calculator uses Tangential Velocity = -(Vortex Strength)/(2*pi*Radial Coordinate) to calculate the Tangential Velocity, The Tangential Velocity for 2-D Vortex Flow formula is defined as the function of strength of vortex flow and radial distance of the point from the origin, it represents the velocity component in the circumferential direction around the vortex center. Tangential Velocity is denoted by V_θ symbol.

How to calculate Tangential Velocity for 2-D Vortex Flow using this online calculator? To use this online calculator for Tangential Velocity for 2-D Vortex Flow, enter Vortex Strength (γ) & Radial Coordinate (r) and hit the calculate button. Here is how the Tangential Velocity for 2-D Vortex Flow calculation can be explained with given input values -> 7.427231 = -((-420))/(2*pi*9).

FAQ

What is Tangential Velocity for 2-D Vortex Flow?

The Tangential Velocity for 2-D Vortex Flow formula is defined as the function of strength of vortex flow and radial distance of the point from the origin, it represents the velocity component in the circumferential direction around the vortex center and is represented as V_θ = -(γ)/(2*pi*r) or Tangential Velocity = -(Vortex Strength)/(2*pi*Radial Coordinate). Vortex Strength measure of the intensity or magnitude of a vortex, such as in fluid dynamics. A vortex is a region within a fluid where the flow revolves around an axis line & Radial Coordinate for an object refers to the coordinate of the object that moves in radial direction from a point of origin.

How to calculate Tangential Velocity for 2-D Vortex Flow?

The Tangential Velocity for 2-D Vortex Flow formula is defined as the function of strength of vortex flow and radial distance of the point from the origin, it represents the velocity component in the circumferential direction around the vortex center is calculated using Tangential Velocity = -(Vortex Strength)/(2*pi*Radial Coordinate). To calculate Tangential Velocity for 2-D Vortex Flow, you need Vortex Strength (γ) & Radial Coordinate (r). With our tool, you need to enter the respective value for Vortex Strength & Radial Coordinate 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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