Velocity Potential 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%
✖Polar Angle is the angular position of a point from a reference direction.ⓘ Polar Angle [θ]			+10% -10%

✖Velocity Potential is a scalar function whose gradient gives velocity.ⓘ Velocity Potential for 2-D Vortex Flow [ϕ]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Elementary Flows Formulas PDF PDF Image

Velocity Potential for 2-D Vortex Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity Potential = -(Vortex Strength/(2*pi))*Polar Angle
ϕ = -(γ/(2*pi))*θ
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Velocity Potential - (Measured in Square Meter per Second) - Velocity Potential is a scalar function whose gradient gives velocity.
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.
Polar Angle - (Measured in Radian) - Polar Angle is the angular position of a point from a reference direction.

STEP 1: Convert Input(s) to Base Unit

Vortex Strength: -420 Square Meter per Second --> -420 Square Meter per Second No Conversion Required
Polar Angle: 0.7 Radian --> 0.7 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ϕ = -(γ/(2*pi))*θ --> -((-420)/(2*pi))*0.7

Evaluating ... ...

ϕ = 46.7915532690172

STEP 3: Convert Result to Output's Unit

46.7915532690172 Square Meter per Second --> No Conversion Required

FINAL ANSWER

46.7915532690172 ≈ 46.79155 Square Meter per Second <-- Velocity Potential

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Aerodynamics » Two Dimensional Incompressible Flow » Elementary Flows » Aerospace » Vortex Flow » Velocity Potential for 2-D Vortex Flow

Credits

Created by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

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

Verified by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

Vinay Mishra has verified this Calculator and 100+ more calculators!

< 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

Velocity Potential for 2-D Vortex Flow Formula

LaTeX Go

Velocity Potential = -(Vortex Strength/(2*pi))*Polar Angle
ϕ = -(γ/(2*pi))*θ

What is a vortex flow?.

A flow where all the streamlines are concentric circles about a given point, the velocity along any given circular streamline be constant, but it varies from one streamline to another inversely with distance from the common center. Such a flow is called a vortex flow.
Vortex flow is a physically possible incompressible flow at every point, and it is irrotational, at every point except at the origin.

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

Velocity Potential for 2-D Vortex Flow calculator uses Velocity Potential = -(Vortex Strength/(2*pi))*Polar Angle to calculate the Velocity Potential, The Velocity Potential for 2-D Vortex Flow formula is defined as the function of polar angle and strength of the vortex flow, it describes the flow induced by a vortex, where the velocity potential decreases linearly with the angular coordinate . Velocity Potential is denoted by ϕ symbol.

How to calculate Velocity Potential for 2-D Vortex Flow using this online calculator? To use this online calculator for Velocity Potential for 2-D Vortex Flow, enter Vortex Strength (γ) & Polar Angle (θ) and hit the calculate button. Here is how the Velocity Potential for 2-D Vortex Flow calculation can be explained with given input values -> 11.92071 = -((-420)/(2*pi))*0.7.

FAQ

What is Velocity Potential for 2-D Vortex Flow?

The Velocity Potential for 2-D Vortex Flow formula is defined as the function of polar angle and strength of the vortex flow, it describes the flow induced by a vortex, where the velocity potential decreases linearly with the angular coordinate and is represented as ϕ = -(γ/(2*pi))*θ or Velocity Potential = -(Vortex Strength/(2*pi))*Polar Angle. 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 & Polar Angle is the angular position of a point from a reference direction.

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

The Velocity Potential for 2-D Vortex Flow formula is defined as the function of polar angle and strength of the vortex flow, it describes the flow induced by a vortex, where the velocity potential decreases linearly with the angular coordinate is calculated using Velocity Potential = -(Vortex Strength/(2*pi))*Polar Angle. To calculate Velocity Potential for 2-D Vortex Flow, you need Vortex Strength (γ) & Polar Angle (θ). With our tool, you need to enter the respective value for Vortex Strength & Polar Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Spanish French German Russian Italian Portuguese Polish Dutch

Home

FREE PDFs

🔍 Search