Aerodynamics: Exploring Lift and its Formula

[ykobe23]

I'm currently doing the IB (equivalent to A levels) and we have to do a research on a subject and i took aerodynamics, specifically lift and can someone explain to me how the lift formula(F= Lift coeffecient x area x air density x velocity squared ) is found ?

Thank you very much

 

[boneh3ad]

It is found simply through empirical data. The lift coefficient is a proportionality constant that has to be found experimentally, numerically or, rarely, analytically. It isn't a robust physical formula. The more physical formulae for lift and drag are much more complicated.

 

[viscousflow]

(F= Lift coeffecient x area x air density x velocity squared ) is found ?

Thank you very much

Search for Buckingham's Pi Theorem.

 

[ykobe23]

thanks very much !

 

[alphy]

for your question. I am happy to explain the lift formula and how it is derived.

The lift formula, F = Cl x A x ρ x V^2, is a mathematical equation that describes the force of lift generated by an object moving through a fluid, such as air. Let's break down each component of this formula to better understand how it is derived.

F represents the force of lift, which is the upward force generated by an object as it moves through the fluid. This force is perpendicular to the direction of motion and is what allows an object, such as an airplane, to stay in the air.

Cl is the lift coefficient, which is a dimensionless number that represents the efficiency of an object in producing lift. It takes into account the shape and orientation of the object, as well as the characteristics of the fluid it is moving through. The lift coefficient is determined through extensive testing and experimentation, and can vary depending on factors such as the angle of attack and airfoil design.

A is the area of the object's surface that is creating lift. In the case of an airplane, this would be the surface area of the wings.

ρ is the density of the fluid, in this case, air. Air density is affected by factors such as altitude and temperature, and can also vary with different atmospheric conditions.

V^2 represents the velocity of the object squared. This means that as the velocity of the object increases, the lift force will increase exponentially.

The lift formula is derived from the fundamental principles of fluid mechanics and aerodynamics. It takes into account the various factors that influence lift and combines them into a single equation. By understanding and manipulating this formula, scientists and engineers are able to design and optimize objects, such as airplanes, for maximum lift and efficiency.

I hope this explanation helps you in your research on aerodynamics and lift. Best of luck with your project!