Step 1: Introduction to Aerodynamic Forces:
Every aircraft in flight is acted upon by four primary forces: Lift, Weight, Thrust, and Drag. Lift and Drag are the two primary aerodynamic forces generated by the physical interaction of the aircraft's wings and body with the surrounding air.
Step 2: Defining and Analyzing Lift ($L$):
• Direction: Lift acts perpendicular to the relative airflow (direction of flight), pointing upwards.
• Origin: It is generated primarily by the wing's aerofoil shape. According to Bernoulli's Principle and Newton's Third Law, air moves faster over the curved upper surface of the wing, creating a low-pressure zone on top and a high-pressure zone underneath, which pushes the wing upward.
• Mathematical Equation:
$$L = \frac{1}{2} \rho v^2 S C_L$$
where $\rho$ is air density, $v$ is velocity, $S$ is wing area, and $C_L$ is the coefficient of lift.
• Action: Lift overcomes the downward force of Weight ($W$) to keep the aircraft flying.
Step 3: Defining and Analyzing Drag ($D$):
• Direction: Drag acts parallel and opposite to the relative airflow, resisting forward motion.
• Origin: It is generated by friction between the air and the aircraft skin, pressure differences (form drag), and the lift-generation process itself (induced drag).
• Mathematical Equation:
$$D = \frac{1}{2} \rho v^2 S C_D$$
where $C_D$ is the coefficient of drag.
• Action: Drag acts as aerodynamic resistance. It opposes the forward pulling force of Thrust ($T$) generated by the engines.