FieldEngineersKit LogoFieldEngineersKit
Docs
Clean zone

Total Dynamic Head (TDH) & Pump Power

HI 14.3 · Affinity BHP
Loading calculator…

← All indexable specifications for this calculator· Current spec: Water 100 m³/h · Hs 20 m · Hf 5 m

TDH & Pump Power Summary

Pre-seeded geometry for this programmatic URL. Adjust inputs in the calculator to recalculate; primary selections update the clean path for sharing and indexing.

ParameterValue
Service fluidWater

Engineering Reference & ASME Code Basis

1. Core Formula & Variable Definitions

Hydraulic Institute ANSI/HI 14.3 — Rotodynamic Pumps for Hydraulic Performance Acceptance Tests · Affinity / classical BHP sizing practice (US customary & SI) · IEC 60034 motor kW ratings · common NEMA HP frames (recommendation only)

TDH = Hs + Hf + Hp

BHP = Q·TDH·SG / (3960·ηp)  ·  P = ρ·g·Q·TDH / ηp

Hydraulic Institute ANSI/HI 14.3 · affinity / duty sizing (screening)

Standard HI 14.3Hero TDHPower BHP / kWMotor IEC · NEMA · SF

TDH is the total head the pump must develop: static elevation Hs (may be negative downhill), friction Hf (from Darcy ΔP → head), and pressure head Hp = (Pd−Ps)/(ρg). Brake power divides hydraulic power by pump efficiency η_p. Motor input divides brake power by motor efficiency η_m; the app multiplies by motor service factor SF (default 1.15) then recommends the next IEC kW or NEMA HP rating. HI 14.3 is the hydraulic performance acceptance context — not a guaranteed datasheet.

  • Hs (Static head)Discharge elevation − suction elevation (negative if downhill / gravity-assisted).
  • Hf (Friction head)Pipe + fittings + strainer losses (convert ΔP/(ρg) from Pressure Drop tool).
  • Hp (Pressure head)(Pd − Ps)/(ρ g). Often ≈ 0 for open tanks at atmosphere.
  • TDH (Total dynamic head)Hs + Hf + Hp — head the pump must develop at the duty flow.
  • η_p (Pump efficiency)Hydraulic efficiency at the operating capacity from the OEM curve.
  • BHP (Brake horsepower)Shaft power = Q·TDH·SG/(3960·η_p) (gpm·ft) or ρ·g·Q·H/η_p (SI).
  • SF (Motor service factor)Multiplier on estimated motor input before IEC/NEMA pick (typical field default 1.15).

2. Allowances, Tolerances & Standards

Use OEM η_p at the actual duty point. Motor recommendation = next standard rating ≥ (brake/η_m)×SF.

Friction HfFrom ΔP/(ρ g)

Estimate piping ΔP with the Pressure Drop calculator, convert to head, include fittings.

Pump η_pCurve at Q

Do not use BEP efficiency if the duty is far off BEP — power rises when η drops.

Motor pickNext standard ≥ input×SF

IEC kW or NEMA HP ≥ estimated motor input × service factor (default SF 1.15).

ViscosityNo HI derate here

Viscous services need HI / OEM viscosity correction charts — not applied in this app.

Quick Reference Lookup Table

Illustrative water duties (this app, η_p ≈ 0.70–0.75, η_m = 0.92, SF = 1.15)
CaseTDHFocus
Water 50 m³/h · Hs 20 m · Hf 5 m25 mDefault metric · ~7.5 kW IEC @ SF 1.15
Water 100 m³/h · Hs 40 m · Hf 10 m50 mHigher head
Water 100 GPM · Hs 60 ft · Hf 15 ft75 ftDefault imperial case
Seawater 50 m³/h · Hs 15 m · Hf 5 m20 mHigher SG → more BHP
Light HC 40 m³/h · Hs 30 m · Hf 6 m36 mLower SG → less BHP

3. Material & Code Limitations

Clean liquid centrifugal / rotodynamic screening. Not for positive-displacement volumetric power models or multiphase flow.

Material GroupTemperature RangeAllowable Stress / LimitEngineering Notes
Water / seawater / condensateAmbient screening densitiesN/A — hydraulic powerUse project fluid properties when temperature shifts density significantly.
Light hydrocarbonScreening SGLower BHP vs waterConfirm vapor pressure / NPSH separately — TDH does not check cavitation.
Viscous liquidsμ ≫ 1 cPHI derate requiredThis tool does not apply HI viscosity correction charts.

Code Applicability & Safety Boundaries

  • Field screening only — not HI 14.3 acceptance test documentation.
  • Motor recommendation applies the entered service factor (default 1.15); set SF = 1.0 to size on raw motor input.
  • Velocity head differences and complex control-valve losses must be folded into Hf/Hp by the user.
  • Export / PDF is a duty sizing sheet — not a stamped pump datasheet.

4. Step-by-Step Worked Example

Field VerificationShow

Step-by-Step Worked Example: Water 50 m³/h · Hs 20 m · Hf 5 m

Screen TDH and brake power for a fresh-water centrifugal pump at 50 m³/h, static elevation 20 m, friction 5 m, open tanks (Hp = 0), η_p = 70%, η_m = 92%, motor SF = 1.15 (HI 14.3 / affinity screening).

Flow Q:50 m³/hFluid:Water · ρ ≈ 998 kg/m³ · SG ≈ 0.998 (ref 1000)Hs / Hf / Hp:20 m / 5 m / 0 mη_p / η_m / SF:70% / 92% / 1.15
1

Form TDH

TDH = 20 + 5 + 0 = 25 m.
Result:TDH = 25 m
2

Hydraulic & brake power

Q = 50/3600 m³/s · ρgQH ≈ 3.40 kW hydraulic · /0.70 ≈ 4.86 kW brake (≈ 6.5 HP).
Result:Brake ≈ 4.9 kW (≈ 6.5 HP)
3

Motor input × SF & standard rating

4.86 / 0.92 ≈ 5.3 kW input · ×1.15 ≈ 6.1 kW sizing basis → next IEC rating 7.5 kW.
Result:Recommend 7.5 kW (IEC)

Open /water-50m3h-hs-20m-hf-5m for the live default case. Pair with Pressure Drop for Hf and NPSH for suction margin.

Conclusion: For 50 m³/h water against 25 m TDH at 70% pump efficiency, expect roughly 5 kW shaft power and a 7.5 kW IEC motor screen at SF 1.15 — confirm on the OEM curve and project motor SF.

5. Frequently Asked Questions & Technical References

Show

Total Dynamic Head is the head the pump must develop at the duty flow: TDH = Hs + Hf + Hp (static + friction + pressure head).

ADVERTISEMENT

320×50 In-feed Banner