Moment Coefficient about Leading-Edge for Symmetrical Airfoil by Thin Airfoil Theory Solution

STEP 0: Pre-Calculation Summary
Formula Used
Moment Coefficient about Leading Edge = -Lift Coefficient/4
Cm,le = -CL/4
This formula uses 2 Variables
Variables Used
Moment Coefficient about Leading Edge - Moment Coefficient about Leading Edge is obtained by dividing the moment about the leading edge by the dynamic pressure, the area, and the chord of the airfoil.
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.
STEP 1: Convert Input(s) to Base Unit
Lift Coefficient: 1.2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Cm,le = -CL/4 --> -1.2/4
Evaluating ... ...
Cm,le = -0.3
STEP 3: Convert Result to Output's Unit
-0.3 --> No Conversion Required
FINAL ANSWER
-0.3 <-- Moment Coefficient about Leading Edge
(Calculation completed in 00.004 seconds)

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Created by Shikha Maurya
Indian Institute of Technology (IIT), Bombay
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PSG College of Technology (PSGCT), Coimbatore
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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

Moment Coefficient about Leading-Edge for Symmetrical Airfoil by Thin Airfoil Theory Formula

​LaTeX ​Go
Moment Coefficient about Leading Edge = -Lift Coefficient/4
Cm,le = -CL/4

What is the 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.

How to Calculate Moment Coefficient about Leading-Edge for Symmetrical Airfoil by Thin Airfoil Theory?

Moment Coefficient about Leading-Edge for Symmetrical Airfoil by Thin Airfoil Theory calculator uses Moment Coefficient about Leading Edge = -Lift Coefficient/4 to calculate the Moment Coefficient about Leading Edge, The Moment Coefficient about Leading-Edge for Symmetrical Airfoil by Thin Airfoil Theory This formula is derived from thin airfoil theory and represents the moment generated about the leading edge of a symmetrical airfoil due to the distribution of pressure over its surface. It assumes that the airfoil is thin enough such that the flow can be approximated as in viscid and that circulation around the airfoil can be represented by a constant vortex strength. Moment Coefficient about Leading Edge is denoted by Cm,le symbol.

How to calculate Moment Coefficient about Leading-Edge for Symmetrical Airfoil by Thin Airfoil Theory using this online calculator? To use this online calculator for Moment Coefficient about Leading-Edge for Symmetrical Airfoil by Thin Airfoil Theory, enter Lift Coefficient (CL) and hit the calculate button. Here is how the Moment Coefficient about Leading-Edge for Symmetrical Airfoil by Thin Airfoil Theory calculation can be explained with given input values -> -0.3 = -1.2/4.

FAQ

What is Moment Coefficient about Leading-Edge for Symmetrical Airfoil by Thin Airfoil Theory?
The Moment Coefficient about Leading-Edge for Symmetrical Airfoil by Thin Airfoil Theory This formula is derived from thin airfoil theory and represents the moment generated about the leading edge of a symmetrical airfoil due to the distribution of pressure over its surface. It assumes that the airfoil is thin enough such that the flow can be approximated as in viscid and that circulation around the airfoil can be represented by a constant vortex strength and is represented as Cm,le = -CL/4 or Moment Coefficient about Leading Edge = -Lift Coefficient/4. 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.
How to calculate Moment Coefficient about Leading-Edge for Symmetrical Airfoil by Thin Airfoil Theory?
The Moment Coefficient about Leading-Edge for Symmetrical Airfoil by Thin Airfoil Theory This formula is derived from thin airfoil theory and represents the moment generated about the leading edge of a symmetrical airfoil due to the distribution of pressure over its surface. It assumes that the airfoil is thin enough such that the flow can be approximated as in viscid and that circulation around the airfoil can be represented by a constant vortex strength is calculated using Moment Coefficient about Leading Edge = -Lift Coefficient/4. To calculate Moment Coefficient about Leading-Edge for Symmetrical Airfoil by Thin Airfoil Theory, you need Lift Coefficient (CL). With our tool, you need to enter the respective value for Lift Coefficient 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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