Understanding the Bernoulli Equation

The Bernoulli Equationis one of the most important relationships in fluid mechanics. It connects pressure, velocity,and elevation of a flowing fluid and helps engineers analyze how fluids behave in pipes, pumps, tanks, reactors, and process equipment.

Beaker image
Figure: illustrative beaker image

What is Bernoulli Equation

For steady, incompressible, and frictionless flow, the Bernoulli equation along a streamline is:

Mathematical Formula

\[ P + \frac{1}{2}\rho v^2 + \rho g h = \text{constant} \]

Example

Example calculation: ...