Hydraulics & Pumping Calculators
Fluid mechanics, pipe flow friction losses, system head curves, and high-pressure pump power calculations.
Engineering Workflows
Hydraulics System Design
From flow requirement to sized line, checks, total dynamic head and pump power — one workflow.
- 1 System Design Run the full flow-to-pump-power workflow
- 2 Pipe Sizing Required diameter from flow and velocity
- 3 Pipe Flow Velocity and Hazen–Williams friction
- 4 Reynolds Number Flow regime check
- 5 Darcy–Weisbach Friction head loss (primary method)
- 6 Pump Head Total dynamic head
- 7 Pump Power Hydraulic, shaft and motor power
Pump Power Calculator
Calculate hydraulic power, shaft power, and motor electrical power from head and flow rate.
HPump = ρ × g × Q × H / η Pipe Flow & Friction Loss Calculator
Determine pipe velocity, friction head loss, and pressure drop via Darcy-Weisbach or Hazen-Williams.
v = Q / A · hf = 10.67 × L × Q^1.852 / (C^1.852 × D^4.871) Open Channel Flow (Manning′) Calculator
Compute open-channel velocity and discharge with Manning’s equation for trapezoidal, rectangular, and circular channels.
v = (1/n) × R^(2/3) × S^(1/2) · Q = v × A Pipe Flow Velocity & Sizing Calculator
Size a pipe to carry a target flow within a recommended velocity range, or check velocity for a given diameter.
D = √(4Q / (π·v)) · v = Q / A Reynolds Number & Flow Regime Calculator
Calculate Reynolds number for pipe flow and classify the flow regime (laminar / transitional / turbulent).
Re = ρ·v·D / μ Pipe Pressure Drop (Darcy–Weisbach) Calculator
Compute pipe head loss and pressure drop with the Darcy–Weisbach equation, solving the Colebrook friction factor.
hf = f × (L/D) × (v²/2g) · f via Colebrook-White Pump Head / Total Dynamic Head Calculator
Compose total dynamic head from static lift, friction losses, minor losses, and residual pressure.
TDH = H_stat + h_friction + h_minor + h_residual Pressure & Head Unit Converter
Convert pressure and head units: bar, kPa, MPa, psi, m H₂O, ft H₂O, and atmospheres.
1 bar = 100 kPa = 14.5038 psi = 10.197 m H₂O