Circulation at given Distance along Wingspan Calculator

✖Circulation at Origin is the circulation when the origin is taken at the center of the bound vortex.ⓘ Circulation at Origin [Γ_o]			+10% -10%
✖Distance from center to point is the length of line segment measured from the center of a body to a particular point.ⓘ Distance from Center to Point [a]			+10% -10%
✖The Wingspan (or just span) of a bird or an airplane is the distance from one wingtip to the other wingtip.ⓘ Wingspan [b]			+10% -10%

✖Circulation is a scalar integral quantity, is a macroscopic measure of rotation for a finite area of the fluid.ⓘ Circulation at given Distance along Wingspan [Γ]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Elliptical Lift Distribution Formulas PDF PDF Image

Circulation at given Distance along Wingspan Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circulation = Circulation at Origin*sqrt(1-(2*Distance from Center to Point/Wingspan)^2)
Γ = Γ_o*sqrt(1-(2*a/b)^2)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Circulation - (Measured in Square Meter per Second) - Circulation is a scalar integral quantity, is a macroscopic measure of rotation for a finite area of the fluid.
Circulation at Origin - (Measured in Square Meter per Second) - Circulation at Origin is the circulation when the origin is taken at the center of the bound vortex.
Distance from Center to Point - (Measured in Meter) - Distance from center to point is the length of line segment measured from the center of a body to a particular point.
Wingspan - (Measured in Meter) - The Wingspan (or just span) of a bird or an airplane is the distance from one wingtip to the other wingtip.

STEP 1: Convert Input(s) to Base Unit

Circulation at Origin: 14 Square Meter per Second --> 14 Square Meter per Second No Conversion Required
Distance from Center to Point: 16.4 Millimeter --> 0.0164 Meter (Check conversion here)
Wingspan: 2340 Millimeter --> 2.34 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Γ = Γ_o*sqrt(1-(2*a/b)^2) --> 14*sqrt(1-(2*0.0164/2.34)^2)

Evaluating ... ...

Γ = 13.9986245799636

STEP 3: Convert Result to Output's Unit

13.9986245799636 Square Meter per Second --> No Conversion Required

FINAL ANSWER

13.9986245799636 ≈ 13.99862 Square Meter per Second <-- Circulation

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Aerodynamics » Two Dimensional Incompressible Flow » Lift Distribution » Aerospace » Elliptical Lift Distribution » Circulation at given Distance along Wingspan

Credits

Created by Ravi Khiyani

Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore

Ravi Khiyani has created this Calculator and 200+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< Elliptical Lift Distribution Calculators

Lift at given Distance along Wingspan

LaTeX Go Lift at Distance = Freestream Density*Freestream Velocity*Circulation at Origin*sqrt(1-(2*Distance from Center to Point/Wingspan)^2)

Circulation at given Distance along Wingspan

LaTeX Go Circulation = Circulation at Origin*sqrt(1-(2*Distance from Center to Point/Wingspan)^2)

Induced Angle of Attack given Aspect Ratio

LaTeX Go Induced Angle of Attack = Lift Coefficient Origin/(pi*Wing Aspect Ratio ELD)

Downwash in Elliptical Lift Distribution

LaTeX Go Downwash = -Circulation at Origin/(2*Wingspan)

Circulation at given Distance along Wingspan Formula

LaTeX Go

Circulation = Circulation at Origin*sqrt(1-(2*Distance from Center to Point/Wingspan)^2)
Γ = Γ_o*sqrt(1-(2*a/b)^2)

Does circulation causes lift?

The circulation around the wing speeds up the air above it and produces suction slows down the air below, and produces pressure under the wing. Accordingly lift is produced by circulation just as in the case of the lifting cylinder.

How to Calculate Circulation at given Distance along Wingspan?

Circulation at given Distance along Wingspan calculator uses Circulation = Circulation at Origin*sqrt(1-(2*Distance from Center to Point/Wingspan)^2) to calculate the Circulation, The Circulation at given Distance along Wingspan formula calculates the circulation at a particular point along the wingspan which is at a given distance from the center of the bound vortex or the considered origin. Circulation is denoted by Γ symbol.

How to calculate Circulation at given Distance along Wingspan using this online calculator? To use this online calculator for Circulation at given Distance along Wingspan, enter Circulation at Origin (Γ_o), Distance from Center to Point (a) & Wingspan (b) and hit the calculate button. Here is how the Circulation at given Distance along Wingspan calculation can be explained with given input values -> 13.99862 = 14*sqrt(1-(2*0.0164/2.34)^2).

FAQ

What is Circulation at given Distance along Wingspan?

The Circulation at given Distance along Wingspan formula calculates the circulation at a particular point along the wingspan which is at a given distance from the center of the bound vortex or the considered origin and is represented as Γ = Γ_o*sqrt(1-(2*a/b)^2) or Circulation = Circulation at Origin*sqrt(1-(2*Distance from Center to Point/Wingspan)^2). Circulation at Origin is the circulation when the origin is taken at the center of the bound vortex, Distance from center to point is the length of line segment measured from the center of a body to a particular point & The Wingspan (or just span) of a bird or an airplane is the distance from one wingtip to the other wingtip.

How to calculate Circulation at given Distance along Wingspan?

The Circulation at given Distance along Wingspan formula calculates the circulation at a particular point along the wingspan which is at a given distance from the center of the bound vortex or the considered origin is calculated using Circulation = Circulation at Origin*sqrt(1-(2*Distance from Center to Point/Wingspan)^2). To calculate Circulation at given Distance along Wingspan, you need Circulation at Origin (Γ_o), Distance from Center to Point (a) & Wingspan (b). With our tool, you need to enter the respective value for Circulation at Origin, Distance from Center to Point & Wingspan and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search