Bernoulli Δp
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
About this calculator
The Bernoulli Δp calculator applies Bernoulli's principle to compute pressure differences in fluid systems. The formula p + ½ρv² + ρgh = constant relates pressure (p), fluid velocity (v), and height (h) with density (ρ) and gravity (g). This tool is useful for analyzing flows in pipelines, airports, or hydraulic systems, where changes in velocity and height affect pressure.
To use the calculator, input pressure, velocity, density, and height values at two points in a system. The calculation determines the pressure difference (Δp) between these points, considering energy conservation in an incompressible, steady flow. Ensure units are compatible (e.g., pascals, meters per second, kilograms per cubic meter).
This calculator is ideal for engineering projects like pipe sizing, ventilation analysis, or aerodynamic studies. However, it assumes the fluid is non-viscous and the flow is laminar, which may limit accuracy for viscous fluids or turbulent flows. In such cases, validate results with experimental methods or advanced simulators.
Frequently asked questions
What is the Bernoulli calculator used for?
It calculates pressure differences (Δp) in fluid systems based on velocity, density, and altitude. It's used in engineering for projects like pipelines and flow analysis.
How does the formula work?
The formula sums static, dynamic (½ρv²), and gravitational (ρgh) pressure at two points, assuming energy conservation in an ideal fluid.
Should I consider fluid viscosity?
The calculator ignores viscosity, so results may be inaccurate for highly viscous fluids like heavy oils.
Which units should I use?
Use consistent units, such as pascals (Pa) for pressure, m/s for velocity, kg/m³ for density, and meters for height.