Bernoulli's Equation

Bernoulli's equation is a fundamental equation in fluid dynamics that relates the pressure, velocity, and elevation of a fluid flowing through a system. It is based on the principle of conservation of energy and is named after the Swiss mathematician and physicist, Daniel Bernoulli.

The Bernoulli's equation can be written as:

P + 1 / 2 ρ v^{2} + ρ g h = c o n s t a n t

Where:

P is the pressure of the fluid
ρ is the density of the fluid
v is the velocity of the fluid
g is the acceleration due to gravity
h is the height of the fluid above a reference plane.

This equation states that the total energy of the fluid (sum of pressure, kinetic energy and potential energy) remains constant along a streamline in a steady flow of an ideal fluid with no viscosity or heat transfer.

The Bernoulli's equation has many applications in Fluid Mechanics - 20230221102456, including in the design of Aircraft wings, pipes, and turbines, and it can be used to understand the behavior of fluids in many different scenarios.

Bernoulli's Equation

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