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Boss lesson · The Pump Room
Exam-hall rules, last plant room
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Exam-hall rules, last plant room

This is the boss. No calculator — today g=10 N/kgg = 10\ \mathrm{N/kg}, the round number every engineer keeps for site sanity checks. It makes ρg\rho g exactly 10 kN/m310\ \mathrm{kN/m^3} for water, so one kilopascal is a tenth of a metre and one litre per second lifted one metre costs ten watts. Every number below is pinned to fit in your head.

One pump room, and every answer feeds the next: the riser pressure becomes metres, the metres join the lift and the friction to make the total dynamic head, the head and the flow make the hydraulic power, the efficiency turns that into shaft power, and the shaft power decides the order. Write each line down — one early slip rolls all the way to the requisition.

Note what the last line actually asks. It does not want another number; it wants a decision, the way a real selection does. The arithmetic is only there to earn you the right to make it.

Then a bonus pair on the drive, where the exponents come home. One draw asks the pump: flow once, power cubed, so carry 0.82=0.640.8^2 = 0.64 and 0.83=0.5120.8^3 = 0.512 in your head. The other asks the pipework: at half flow the friction falls to a quarter and the static head does not move at all. Either way the whole chapter fits on the back of a work order. 5★ under par here is the chapter crown. Clock in.

hfhvhsTDH

TDH=hs+hf+hvTDH = h_s + h_f + h_v

  • TDHTDH= Total dynamic head
  • hsh_s= Static head
  • hfh_f= Friction head
  • hvh_v= Velocity head

each variable a length

Total Dynamic Head solver →
SGQHWHP

WHP=Q H SG3960WHP = \frac{Q \, H \, SG}{3960}

  • WHPWHP= Water horsepower (power)
  • QQ= Flow rate (volumetric flow rate)
  • HH= Total head (length)
  • SGSG= Specific gravity
Pump Water Horsepower solver →
SGQHBHPη

BHP=Q H SG3960 ηBHP = \frac{Q \, H \, SG}{3960 \, \eta}

  • BHPBHP= Brake horsepower (power)
  • QQ= Flow rate (volumetric flow rate)
  • HH= Total head (length)
  • SGSG= Specific gravity
  • η\eta= Pump efficiency
Pump Brake Horsepower solver →
N2N1Q1Q2

Q2Q1=N2N1\frac{Q_2}{Q_1} = \frac{N_2}{N_1}

  • Q1Q_1= Flow at speed 1 (volumetric flow rate)
  • N1N_1= Speed 1 (frequency)
  • Q2Q_2= Flow at speed 2 (volumetric flow rate)
  • N2N_2= Speed 2 (frequency)
Pump Affinity Law — Flow vs Speed solver →
N2N1P1P2

P2P1=(N2N1)3\frac{P_2}{P_1} = \left(\frac{N_2}{N_1}\right)^{3}

  • P1P_1= Power at speed 1 (power)
  • N1N_1= Speed 1 (frequency)
  • P2P_2= Power at speed 2 (power)
  • N2N_2= Speed 2 (frequency)
Pump Affinity Law — Power vs Speed solver →
no calculator in the boss room — the numbers are chosen to fit in your head