Velocity Induced at Point by Infinite Straight Vortex Filament Calculator

✖Vortex Strength is the strength of vortex flow. A vortex is a region within a fluid where the flow revolves around an axis line.ⓘ Vortex Strength [γ]			+10% -10%
✖Perpendicular Distance to Vortex is the perpendicular distance from a point to the vortex filament.ⓘ Perpendicular Distance to Vortex [h]			+10% -10%

✖The Induced Velocity is the change in air velocity due to aerodynamic interaction with an object.ⓘ Velocity Induced at Point by Infinite Straight Vortex Filament [v_i]

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Velocity Induced at Point by Infinite Straight Vortex Filament Solution

STEP 0: Pre-Calculation Summary

Formula Used

Induced Velocity = Vortex Strength/(2*pi*Perpendicular Distance to Vortex)
v_i = γ/(2*pi*h)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Induced Velocity - (Measured in Meter per Second) - The Induced Velocity is the change in air velocity due to aerodynamic interaction with an object.
Vortex Strength - (Measured in Square Meter per Second) - Vortex Strength is the strength of vortex flow. A vortex is a region within a fluid where the flow revolves around an axis line.
Perpendicular Distance to Vortex - (Measured in Meter) - Perpendicular Distance to Vortex is the perpendicular distance from a point to the vortex filament.

STEP 1: Convert Input(s) to Base Unit

Vortex Strength: 13 Square Meter per Second --> 13 Square Meter per Second No Conversion Required
Perpendicular Distance to Vortex: 0.53 Meter --> 0.53 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_i = γ/(2*pi*h) --> 13/(2*pi*0.53)

Evaluating ... ...

v_i = 3.90380049093328

STEP 3: Convert Result to Output's Unit

3.90380049093328 Meter per Second --> No Conversion Required

FINAL ANSWER

3.90380049093328 ≈ 3.9038 Meter per Second <-- Induced Velocity

(Calculation completed in 00.004 seconds)

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Velocity Induced at Point by Infinite Straight Vortex Filament Formula

LaTeX Go

Induced Velocity = Vortex Strength/(2*pi*Perpendicular Distance to Vortex)
v_i = γ/(2*pi*h)

What is vortex filament?

A vortex filament is an imaginary spatial curve that induces a rotary flow in the space through which it passes. The best analogy is to think of it as the center of a tornado with the associated circulatory flow around its core.

How to Calculate Velocity Induced at Point by Infinite Straight Vortex Filament?

Velocity Induced at Point by Infinite Straight Vortex Filament calculator uses Induced Velocity = Vortex Strength/(2*pi*Perpendicular Distance to Vortex) to calculate the Induced Velocity, The Velocity Induced at Point by Infinite Straight Vortex Filament formula calculates the velocity at a point that has been induced due to an infinite straight vortex filament. It describes the velocity field generated by an infinitely long, straight vortex filament, which is an idealized mathematical construct representing a line of concentrated vorticity. Induced Velocity is denoted by v_i symbol.

How to calculate Velocity Induced at Point by Infinite Straight Vortex Filament using this online calculator? To use this online calculator for Velocity Induced at Point by Infinite Straight Vortex Filament, enter Vortex Strength (γ) & Perpendicular Distance to Vortex (h) and hit the calculate button. Here is how the Velocity Induced at Point by Infinite Straight Vortex Filament calculation can be explained with given input values -> 3.9038 = 13/(2*pi*0.53).

FAQ

What is Velocity Induced at Point by Infinite Straight Vortex Filament?

The Velocity Induced at Point by Infinite Straight Vortex Filament formula calculates the velocity at a point that has been induced due to an infinite straight vortex filament. It describes the velocity field generated by an infinitely long, straight vortex filament, which is an idealized mathematical construct representing a line of concentrated vorticity and is represented as v_i = γ/(2*pi*h) or Induced Velocity = Vortex Strength/(2*pi*Perpendicular Distance to Vortex). Vortex Strength is the strength of vortex flow. A vortex is a region within a fluid where the flow revolves around an axis line & Perpendicular Distance to Vortex is the perpendicular distance from a point to the vortex filament.

How to calculate Velocity Induced at Point by Infinite Straight Vortex Filament?

The Velocity Induced at Point by Infinite Straight Vortex Filament formula calculates the velocity at a point that has been induced due to an infinite straight vortex filament. It describes the velocity field generated by an infinitely long, straight vortex filament, which is an idealized mathematical construct representing a line of concentrated vorticity is calculated using Induced Velocity = Vortex Strength/(2*pi*Perpendicular Distance to Vortex). To calculate Velocity Induced at Point by Infinite Straight Vortex Filament, you need Vortex Strength (γ) & Perpendicular Distance to Vortex (h). With our tool, you need to enter the respective value for Vortex Strength & Perpendicular Distance to Vortex and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Induced Velocity?

In this formula, Induced Velocity uses Vortex Strength & Perpendicular Distance to Vortex. We can use 1 other way(s) to calculate the same, which is/are as follows -

Induced Velocity = Vortex Strength/(4*pi*Perpendicular Distance to Vortex)

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