h_friction_pipe = f * (L/D) * (v²/(2g)) Fittings losses (equivalent length method or K-factor):
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_static = (Z_dis - Z_suc) + (P_dis - P_suc)*1e5 / (ρ*g) Cell example: =(B5-B4) + (B7-B6)*100000/(B8*B9) → Result: (25−2) + (2−1) 100000/(1000 9.81) = 23 + 10.19 = Section 4: Velocity Head Velocity ( v = \fracQA ) with ( A = \pi D^2 / 4 ) pump head calculation excel sheet
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:
Re: =F2*(B2/1000)/1e-6
Friction factor (Swamee-Jain): =0.25/(LOG10(D2/(3.7*B2) + 5.74/G2^0.9))^2
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_friction_pipe = f * (L/D) * (v²/(2g)) Fittings
Section,Parameter,Value,Unit Input,Flow rate (Q),100,m³/h Input,Suction level,2,m Input,Discharge level,25,m Input,Suction pressure,1,bar(g) Input,Discharge pressure,2,bar(g) Pipe,Suction length,10,m Pipe,Suction diameter,150,mm Pipe,Discharge length,150,m Pipe,Discharge diameter,150,mm Friction,Roughness,0.03,mm Friction,K_elbow,0.75,- Friction,K_gate valve,0.17,- Result,Static head,33.19,m Result,Friction total,13.25,m Result,Total head,46.44,m Always verify your Excel sheet against a known example:
( H = H_static + H_friction + H_velocity + H_pressure ) Section 5: Friction Loss – Darcy-Weisbach Reynolds number