Bernoulli's Theorem

📊 advanced

$$P + \frac{1}{2}\rho v^2 + \rho gh = \text{Constant}$$

Conservation of energy for a flowing non-viscous fluid.

Variables & Units

$P$

Pressure

Unit: $Pa$

$\rho$

Density

Unit: $kg/m^3$

Key Information

📐 Derived From

Work-Energy Theorem.

💡 Example

Aerofoil lift on airplane wings.

🔧 Applications

Venturimeters, atomizers.

⚠️ Constraints

Incompressible, non-viscous, streamline flow.

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