Lift Coefficient for Symmetrical Airfoil by Thin Airfoil Theory Solution

STEP 0: Pre-Calculation Summary
Formula Used
Lift Coefficient = 2*pi*Angle of Attack
CL = 2*pi*α
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Lift Coefficient - The Lift Coefficient is a dimensionless coefficient that relates the lift generated by a lifting body to the fluid density around the body, the fluid velocity and an associated reference area.
Angle of Attack - (Measured in Radian) - Angle of Attack is the angle between a reference line on a body and the vector representing the relative motion between the body and the fluid through which it is moving.
STEP 1: Convert Input(s) to Base Unit
Angle of Attack: 10.94 Degree --> 0.190939020168144 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
CL = 2*pi*α --> 2*pi*0.190939020168144
Evaluating ... ...
CL = 1.19970524608775
STEP 3: Convert Result to Output's Unit
1.19970524608775 --> No Conversion Required
FINAL ANSWER
1.19970524608775 1.199705 <-- Lift Coefficient
(Calculation completed in 00.014 seconds)

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Created by Shikha Maurya
Indian Institute of Technology (IIT), Bombay
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Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
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Flow over Airfoils Calculators

Lift Coefficient for Cambered Airfoil
​ LaTeX ​ Go Lift Coefficient for Cambered Airfoil = 2*pi*((Angle of Attack)-(Angle of Zero Lift))
Center of Pressure Location for Cambered Airfoil
​ LaTeX ​ Go Center of Pressure = -(Moment Coefficient about Leading Edge*Chord)/Lift Coefficient
Lift Coefficient for Symmetrical Airfoil by Thin Airfoil Theory
​ LaTeX ​ Go Lift Coefficient = 2*pi*Angle of Attack
Moment Coefficient about Leading-Edge for Symmetrical Airfoil by Thin Airfoil Theory
​ LaTeX ​ Go Moment Coefficient about Leading Edge = -Lift Coefficient/4

Lift Coefficient for Symmetrical Airfoil by Thin Airfoil Theory Formula

​LaTeX ​Go
Lift Coefficient = 2*pi*Angle of Attack
CL = 2*pi*α

What is thin airfoil theory?

Thin airfoil theory is predicated on the replacement of the airfoil by the mean camber line. A vortex sheet is placed along the chord line and its strength adjusted such that, in conjunction with the uniform freestream, the camber line becomes a streamline of the flow while at the same time satisfying the Kutta condition.

What is Kutta Condition?

The Kutta condition is an observation that for a lifting airfoil of a given shape at a
given angle of attack, nature adopts that particular value of circulation around the airfoil which results in the flow leaving smoothly at the trailing edge. If the trailing-edge angle is finite, then the trailing edge is a stagnation point. If the trailing edge is cusped, then the velocities leaving the top and bottom surfaces at the trailing edge are finite and equal in magnitude and direction.

How to Calculate Lift Coefficient for Symmetrical Airfoil by Thin Airfoil Theory?

Lift Coefficient for Symmetrical Airfoil by Thin Airfoil Theory calculator uses Lift Coefficient = 2*pi*Angle of Attack to calculate the Lift Coefficient, The Lift Coefficient for Symmetrical Airfoil by Thin Airfoil Theory formula, the lift coefficient for a symmetrical airfoil is determined by the angle of attack, The lift coefficient increases linearly with the angle of attack according to the formula. Lift Coefficient is denoted by CL symbol.

How to calculate Lift Coefficient for Symmetrical Airfoil by Thin Airfoil Theory using this online calculator? To use this online calculator for Lift Coefficient for Symmetrical Airfoil by Thin Airfoil Theory, enter Angle of Attack (α) and hit the calculate button. Here is how the Lift Coefficient for Symmetrical Airfoil by Thin Airfoil Theory calculation can be explained with given input values -> 1.199705 = 2*pi*0.190939020168144.

FAQ

What is Lift Coefficient for Symmetrical Airfoil by Thin Airfoil Theory?
The Lift Coefficient for Symmetrical Airfoil by Thin Airfoil Theory formula, the lift coefficient for a symmetrical airfoil is determined by the angle of attack, The lift coefficient increases linearly with the angle of attack according to the formula and is represented as CL = 2*pi*α or Lift Coefficient = 2*pi*Angle of Attack. Angle of Attack is the angle between a reference line on a body and the vector representing the relative motion between the body and the fluid through which it is moving.
How to calculate Lift Coefficient for Symmetrical Airfoil by Thin Airfoil Theory?
The Lift Coefficient for Symmetrical Airfoil by Thin Airfoil Theory formula, the lift coefficient for a symmetrical airfoil is determined by the angle of attack, The lift coefficient increases linearly with the angle of attack according to the formula is calculated using Lift Coefficient = 2*pi*Angle of Attack. To calculate Lift Coefficient for Symmetrical Airfoil by Thin Airfoil Theory, you need Angle of Attack (α). With our tool, you need to enter the respective value for Angle of Attack 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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