Compare energy heads across two flow points. Solve unknown variables using extended Bernoulli relationships instantly. Download results, inspect formulas, and visualize system head clearly.
Pick the target variable, then enter the remaining engineering values below.
This grouped chart compares pressure head, velocity head, and elevation head at both points.
The extended Bernoulli relation used here is:
P₁/(ρg) + V₁²/(2g) + z₁ + hp - ht - hL = P₂/(ρg) + V₂²/(2g) + z₂
Where P is pressure, ρ is density, g is gravitational acceleration, V is velocity, z is elevation, hp is pump head added, ht is turbine head removed, and hL is friction or minor head loss.
The calculator rearranges the same equation to solve for one unknown variable at a time. Pressure values are entered in kPa, while the internal equation converts them into Pascals before computing pressure head.
| Scenario | Solve For | ρ (kg/m³) | P1 (kPa) | V1 (m/s) | z1 (m) | V2 (m/s) | z2 (m) | hp (m) | ht (m) | hL (m) | Result |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Water transfer line | Pressure at Point 2 | 1000 | 220.00 | 2.50 | 12.00 | 4.20 | 5.00 | 0.00 | 0.00 | 1.20 | 271.19 kPa |
It solves one unknown among pressure, velocity, or elevation between two points in a flowing fluid system. It also accounts for pump head, turbine head, and total head loss.
Enter density in kg/m³, pressure in kPa, velocity in m/s, and elevation or head terms in meters. The computation then stays consistent in SI form.
Yes. You can add total head loss directly as meters of fluid head. This is useful when piping friction and minor losses are already known or estimated.
Pump head represents energy added to the fluid. A positive pump head increases the available total head on the upstream side of the Bernoulli balance.
Turbine head represents energy removed from the flowing fluid. It reduces the total head available between the two points in the equation.
That usually means the entered pressures, elevations, and losses do not leave enough remaining energy head for the selected velocity term. Review the consistency of your inputs.
Yes. After calculation, the page shows buttons for CSV and PDF downloads. They export the solved result and the major Bernoulli head values.
Avoid it when compressibility, strong viscosity effects, major turbulence modeling limits, transient conditions, or significant heat transfer make a simple energy balance unreliable.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.