Bernoulli Total Head (Pressure + Velocity + Elevation)
Total head H = P/gamma + V^2/(2g) + z (ft of fluid), the mechanical energy per unit weight.
Example
You enter
- Gauge pressure (psi) 30
- Velocity (ft/s) 6
- Elevation (ft) 10
- Fluid specific weight (lb/ft³, 62.4 water) 62.4
You get
- H press (ft) 69.23
- Total head 79.79 ft of fluid
No published worked example is on file for this calculation. It is checked against a hand-worked derivation of its method and an independent reference test.
Details, formula, and sources
ScopeConserved along a streamline with no loss. Water at 30 psi, 6 ft/s, 10 ft -> 69.23 + 0.56 + 10 = 79.79 ft; where velocity drops the head converts to pressure (Venturi). The engineer of record governs.
Formula or tableh_press = P x 144 / gamma; h_vel = V^2/(2 g); H = h_press + h_vel + z; conserved: H1 = H2 + h_loss.
Source and editionThe Bernoulli energy equation (total head) from first-principles fluid mechanics, by name.
Free accessThe Bernoulli equation is a standard fluid-mechanics relation. The engineer of record governs the system analysis.
What governsEstimate. AHJ and licensed professional govern.
API field namesP_psi, V_fps, z_ft, gamma, h_press_ft, H_ft
- Total head H = P/gamma + V^2/(2g) + z (feet of fluid)fluid mechanics
- Conserved ideal conserved along a streamline with no loss; velocity head <-> pressure headfluid mechanics
- No loss term single-point form; real flow loses head to friction/fittings (H1 = H2 + h_loss)scope of this tile