Velocity Induced at Point by Semi-infinite Straight Vortex Filament Solution

STEP 0: Pre-Calculation Summary
Formula Used
Induced Velocity = Vortex Strength/(4*pi*Perpendicular Distance to Vortex)
vi = γ/(4*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
vi = γ/(4*pi*h) --> 13/(4*pi*0.53)
Evaluating ... ...
vi = 1.95190024546664
STEP 3: Convert Result to Output's Unit
1.95190024546664 Meter per Second --> No Conversion Required
FINAL ANSWER
1.95190024546664 1.9519 Meter per Second <-- Induced Velocity
(Calculation completed in 00.020 seconds)

Credits

Creator Image
Created by Ravi Khiyani
Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore
Ravi Khiyani has created this Calculator and 200+ more calculators!
Verifier Image
Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has verified this Calculator and 2500+ more calculators!

Induced Drag Calculators

Profile Drag Coefficient
​ LaTeX ​ Go Profile Drag Coefficient = (Skin Friction Drag Force+Pressure Drag Force)/(Free Stream Dynamic Pressure*Reference Area)
Induced Drag Coefficient
​ LaTeX ​ Go Induced Drag Coefficient = Induced Drag/(Free Stream Dynamic Pressure*Reference Area)
Induced Drag Coefficient given Total Drag Coefficient
​ LaTeX ​ Go Induced Drag Coefficient = Total Drag Coefficient-Profile Drag Coefficient
Total Drag Coefficient for Subsonic Finite Wing
​ LaTeX ​ Go Total Drag Coefficient = Profile Drag Coefficient+Induced Drag Coefficient

Velocity Induced at Point by Semi-infinite Straight Vortex Filament Formula

​LaTeX ​Go
Induced Velocity = Vortex Strength/(4*pi*Perpendicular Distance to Vortex)
vi = γ/(4*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 Semi-infinite Straight Vortex Filament?

Velocity Induced at Point by Semi-infinite Straight Vortex Filament calculator uses Induced Velocity = Vortex Strength/(4*pi*Perpendicular Distance to Vortex) to calculate the Induced Velocity, The Velocity Induced at Point by Semi-infinite Straight Vortex Filament formula calculates the velocity at a point that has been induced due to the semi-infinite straight vortex filament.It describes the velocity field generated by a vortex filament, which is an idealized mathematical construct representing a line of concentrated vorticity. Induced Velocity is denoted by vi symbol.

How to calculate Velocity Induced at Point by Semi-infinite Straight Vortex Filament using this online calculator? To use this online calculator for Velocity Induced at Point by Semi-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 Semi-infinite Straight Vortex Filament calculation can be explained with given input values -> 1.9519 = 13/(4*pi*0.53).

FAQ

What is Velocity Induced at Point by Semi-infinite Straight Vortex Filament?
The Velocity Induced at Point by Semi-infinite Straight Vortex Filament formula calculates the velocity at a point that has been induced due to the semi-infinite straight vortex filament.It describes the velocity field generated by a vortex filament, which is an idealized mathematical construct representing a line of concentrated vorticity and is represented as vi = γ/(4*pi*h) or Induced Velocity = Vortex Strength/(4*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 Semi-infinite Straight Vortex Filament?
The Velocity Induced at Point by Semi-infinite Straight Vortex Filament formula calculates the velocity at a point that has been induced due to the semi-infinite straight vortex filament.It describes the velocity field generated by a vortex filament, which is an idealized mathematical construct representing a line of concentrated vorticity is calculated using Induced Velocity = Vortex Strength/(4*pi*Perpendicular Distance to Vortex). To calculate Velocity Induced at Point by Semi-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/(2*pi*Perpendicular Distance to Vortex)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!