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# Bernoulli's Principle Bernoulli's principle, discovered by Daniel Bernoulli in the 18th century, states that for an inviscid flow, an increase in the speed of the fluid occurs simultaneously with a decrease in pressure or a decrease in the fluid's potential energy. ## How wings generate lift Th...

# Bernoulli's Principle Bernoulli's principle, discovered by Daniel Bernoulli in the 18th century, states that for an inviscid flow, an increase in the speed of the fluid occurs simultaneously with a decrease in pressure or a decrease in the fluid's potential energy. ## How wings generate lift The shape of an airfoil causes air to travel faster over the top of the wing than under the bottom. According to Bernoulli's principle, faster-moving air exerts less pressure. Therefore, the pressure on the top of the wing is less than the pressure on the bottom of the wing, resulting in lift. ### Airfoil An airfoil-shaped body designed to provide lift when moving through air. * Air * High Pressure * Low Pressure ### Equation $P + \frac{1}{2} \rho v^2 + \rho gh = constant$ where: * P = Pressure * $\rho$ = Density * v = Velocity * g = Acceleration of gravity * h = Height ### Venturi Meter Diagram of a Venturi meter, which consists of a tube with a constriction. Fluid flows faster through the constriction, resulting in lower pressure. Pressure is measured using manometers at different points in the tube. * High speed, low pressure * Low speed, high pressure * $A_1V_1 = A_2V_2$ * $P_1 + \frac{1}{2} \rho V_1^2 = P_2 + \frac{1}{2} \rho V_2^2$ ### Examples * Airplane Wings * Race Car Wings * Chimneys * Spray Bottles * Venturi Meter * Curveballs * Sailboats