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04-BS-7: December 2019

Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)

  1. Question 1 Absolute Pressure in a Pipe from a Multi-Fluid Manometer
  2. Question 2 Hot-Air Balloon — Temperature for Neutral Buoyancy
  3. Question 3 Concrete Canal Wall — Middle-Third Stability Check
  4. Question 4 Electrical Power to Pump Gasoline Between Gauges
  5. Question 5 Centrifugal Pump and System Operating Point
  6. Question 6 Thrust Developed by an Aircraft Propeller
  7. Question 7 Pressure Drop in a Sloping Mine Ventilation Tunnel
  8. Question 8 Flow Rate in a Gravity Water Supply Pipeline
  9. Question 9 Boeing 747 — Lift Coefficient, Drag Coefficient and Thrust Power at Cruise
  10. Question 10 Sliding Stability of Two L-Shaped Dams Under Uplift
  11. Question 11 Air Pressure in a Submerged Cylinder — Two Filling Sequences
  12. Question 12 Why a Vacuum Nozzle Must Be Held Closer Than a Blower Nozzle
  13. Question 13 Why Turning Vanes Reduce Head Loss in a Duct Bend

Start with Question 1 →

04-BS-7 Mechanics of Fluids — December 2019 (National Examinations, three hours, closed book). Section A (Calculative) offers 9 questions and instructs “do seven”; Section B (Analytical) offers 4 questions and instructs “do three.” Every question is answered below (13 of 13), so students can use the full paper as a study resource. Constants used throughout (from the paper's own Constants page): g = 9.81 m/s², patm = 100 kPa, ρwater = 1000 kg/m³, SGglycerine = 1.26, SGmercury = 13.56, ρconcrete = 2400 kg/m³, ρair = 1.19 kg/m³ (20°C) / 1.21 kg/m³ (15°C), μwater = 1.0×10⁻³ N·s/m², μair = 1.8×10⁻⁵ N·s/m², Rair = 287 J/kg·K.

Reference texts: F. M. White, Fluid Mechanics, 8th ed. (McGraw-Hill) — fluid statics and manometry (Ch. 2), hydrostatic forces and the middle-third rule (Ch. 2), buoyancy and equilibrium (Ch. 2), dimensional analysis and drag (Ch. 5, 7), pipe friction and the Moody/Colebrook relation (Ch. 6), control-volume momentum and propeller/actuator-disk theory (Ch. 3, 11); J. D. Anderson, Fundamentals of Aerodynamics — wave/compressibility drag divergence (Ch. 5) for the Boeing 747 wind-tunnel chart used in Question 9.