EngiRef / Fluids Engineering Formula
Bernoulli Equation
Bernoulli Equation: Conservation of energy along a streamline. A Fluid Dynamics formula in fluids engineering. Variables P, ρ, v, g and h, each with SI and…
Fluid Dynamics
Specification
- Name
- Bernoulli Equation
- Discipline
- fluids
- Category
- Fluid Dynamics
- LaTeX
- P_1 + \frac{1}{2}\rho v_1^2 + \rho g h_1 = P_2 + \frac{1}{2}\rho v_2^2 + \rho g h_2
- Description
- Conservation of energy along a streamline
- Conditions
- Steady, incompressible, inviscid flow along streamline
- Can solve for
- P, v, h
- Tags
- bernoulli, energy, pressure, velocity, height
Variables
| Symbol | Name | Unit | Si Unit | Imperial Unit |
|---|---|---|---|---|
| P | Pressure | Pa | Pa | psi |
| ρ | Density | kg/m³ | kg/m³ | - |
| v | Velocity | m/s | m/s | ft/s |
| g | Gravity | m/s² | m/s² | - |
| h | Height | m | m | ft |
Common questions
- What is the Bernoulli Equation formula?
- Conservation of energy along a streamline. It sits under Fluid Dynamics, Fluids engineering in the EngiRef reference.
- What do the symbols in the Bernoulli Equation formula mean?
- In Bernoulli Equation, P is pressure in Pa; ρ is density in kg/m³; v is velocity in m/s; g is gravity in m/s²; h is height in m.
- When does the Bernoulli Equation formula apply?
- Bernoulli Equation holds under this condition: Steady, incompressible, inviscid flow along streamline.