v (m/s) = Q / (π*(D/1000)^2/4) / 3600 (if Q in m³/h) Velocity head = v²/(2g) Usually if suction/discharge diameters are equal. Section 5: Friction Loss – Darcy-Weisbach Reynolds number : ( Re = \fracv \cdot D\nu ) Friction factor f : use Colebrook or Moody approximation. In Excel, use this simplified explicit formula (Swamee-Jain): f = 0.25 / [ LOG10( ε/(3.7*D) + 5.74/Re^0.9 ) ]^2 Then head loss in pipe:
Pump head (total dynamic head, TDH) is the total energy that a pump must impart to the fluid to move it from suction to discharge. It is expressed in meters (or feet) of liquid column. pump head calculation excel sheet
( H = H_static + H_friction + H_velocity + H_pressure ) v (m/s) = Q / (π*(D/1000)^2/4) / 3600
h_friction_pipe = f * (L/D) * (v²/(2g)) Fittings losses (equivalent length method or K-factor): It is expressed in meters (or feet) of liquid column
Power formula: =B2*B48*B8*B9/3600000 where B48 = TDH, B2 = Q (m³/h) Step 1 – Create headers Row1: “PUMP HEAD CALCULATION SHEET” Row3 onwards: labels as per tables above. Step 2 – Named ranges (optional but helpful) Select input cells → Formulas → Define Name, e.g. Flow , Density , Gravity . Step 3 – Calculate area & velocity Area_suction = PI()*(D_suc/1000)^2/4 v_suc = Flow_m3h / Area_suction / 3600 Step 4 – Reynolds & friction factor Re = v_suc * (D_suc/1000) / KinVisc f = 0.25 / (LOG10( Roughness/(3.7*(D_suc/1000)) + 5.74/Re^0.9 ))^2 Step 5 – Friction loss per line Pipe loss = f * (L/(D/1000)) * (v^2/(2*Gravity))
h_fittings = (K_elbow * n_elbow + K_valve * n_valve) * v²/(2g) Total friction head = pipe loss + fittings loss TDH = H_static + H_friction_total + H_velocity (if any) Section 7: Output & Results | Description | Value | Unit | |-------------|-------|------| | Static head | 33.19 | m | | Suction friction | 0.85 | m | | Discharge friction | 12.40 | m | | Total pump head | 46.44 | m | | Required hydraulic power | (Q * TDH * ρ * g)/3600000 | kW |
v (m/s) = Q / (π*(D/1000)^2/4) / 3600 (if Q in m³/h) Velocity head = v²/(2g) Usually if suction/discharge diameters are equal. Section 5: Friction Loss – Darcy-Weisbach Reynolds number : ( Re = \fracv \cdot D\nu ) Friction factor f : use Colebrook or Moody approximation. In Excel, use this simplified explicit formula (Swamee-Jain): f = 0.25 / [ LOG10( ε/(3.7*D) + 5.74/Re^0.9 ) ]^2 Then head loss in pipe:
Pump head (total dynamic head, TDH) is the total energy that a pump must impart to the fluid to move it from suction to discharge. It is expressed in meters (or feet) of liquid column.
( H = H_static + H_friction + H_velocity + H_pressure )
h_friction_pipe = f * (L/D) * (v²/(2g)) Fittings losses (equivalent length method or K-factor):
Power formula: =B2*B48*B8*B9/3600000 where B48 = TDH, B2 = Q (m³/h) Step 1 – Create headers Row1: “PUMP HEAD CALCULATION SHEET” Row3 onwards: labels as per tables above. Step 2 – Named ranges (optional but helpful) Select input cells → Formulas → Define Name, e.g. Flow , Density , Gravity . Step 3 – Calculate area & velocity Area_suction = PI()*(D_suc/1000)^2/4 v_suc = Flow_m3h / Area_suction / 3600 Step 4 – Reynolds & friction factor Re = v_suc * (D_suc/1000) / KinVisc f = 0.25 / (LOG10( Roughness/(3.7*(D_suc/1000)) + 5.74/Re^0.9 ))^2 Step 5 – Friction loss per line Pipe loss = f * (L/(D/1000)) * (v^2/(2*Gravity))
h_fittings = (K_elbow * n_elbow + K_valve * n_valve) * v²/(2g) Total friction head = pipe loss + fittings loss TDH = H_static + H_friction_total + H_velocity (if any) Section 7: Output & Results | Description | Value | Unit | |-------------|-------|------| | Static head | 33.19 | m | | Suction friction | 0.85 | m | | Discharge friction | 12.40 | m | | Total pump head | 46.44 | m | | Required hydraulic power | (Q * TDH * ρ * g)/3600000 | kW |