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04-BS-7: December 2015

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

  1. Question 1 Capillary Rise Between Touching Glass Rods
  2. Question 2 Percent Error in a Crosby Gauge Tester
  3. Question 3 Stagnation and Side Pressure on a Cylindrical Chimney
  4. Question 4 Island Bend Dam — Spillway Discharge and Gate Force
  5. Question 5 Viscosity and Tank Equilibrium Level — Gasoline vs. Lubricating Oil
  6. Question 6 Ideal-Flow Velocity and Flow Rate Through a Sharp-Edged Nozzle
  7. Question 7 Turbojet Thrust and Duct Areas
  8. Question 8 Rate of Rise of a Helium Meteorological Balloon
  9. Question 9 Pressure Drop in a Corrugated Aluminum Air Duct
  10. Question 10 HGL and EGL Profiles Along the Island Bend Dam Spillway
  11. Question 11 Why the Moody Friction Factor Jumps at the Laminar–Turbulent Transition
  12. Question 12 Sliding Resistance of Two L-Shaped Gravity Dams
  13. Question 13 Shape of a Falling Raindrop — Large vs. Small

Start with Question 1 →

04-BS-7 Mechanics of Fluids — December 2015 (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, ρwater = 1000 kg/m³, ρair = 1.19 kg/m³ (20°C) / 1.21 kg/m³ (15°C), μair = 1.8×10⁻⁵ N·s/m², Rair = 287 J/kg·K, Rhelium = 2077 J/kg·K, patm = 100 kPa.

Reference texts: F. M. White, Fluid Mechanics, 8th ed. (McGraw-Hill) — fluid statics and manometry (Ch. 2), control-volume momentum/energy and propulsion (Ch. 3), potential/inviscid flow around cylinders (Ch. 8), viscosity and Newtonian shear (Ch. 1), pipe friction and the Moody chart (Ch. 6), and drag on immersed bodies (Ch. 7).