NivaarExam PrepOfficial exam papers ↗

04-BS-7: December 2016

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

  1. Question 1 Neutral-Buoyancy Temperature of a Hot-Air Balloon
  2. Question 2 Middle-Third Stability Check on a Concrete Gravity Dam
  3. Question 3 Velocity Variation Around a Cylinder from Streamline Spacing
  4. Question 4 Wind-Induced Stagnation and Side Pressure on a Chimney
  5. Question 5 Propeller Thrust via Actuator-Disk (Momentum) Theory
  6. Question 6 Wind-Induced Suction Ventilating an Outhouse Pit
  7. Question 7 Head Loss in an Outhouse Vent Pipe
  8. Question 8 Elevation Drop for Uniform Flow in a Trapezoidal Irrigation Canal
  9. Question 9 Settling Velocity of Magnetite Slurry Particles (Stokes' Law)
  10. Question 10 Velocity and Flow-Rate Response of a Wide River in Flood
  11. Question 11 Stability of a Floating Square Bar — Horizontal vs Vertical
  12. Question 12 Draining-Time Comparison — Upright vs Inverted Conical Tanks
  13. Question 13 Relative Sinking Depth in Light Oil vs Quicksand

Start with Question 1 →

04-BS-7 Mechanics of Fluids — December 2016 (National Examinations, three hours, closed book). Section A (Calculative) offers 9 questions and instructs "do seven"; Section B (Graphical and 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, 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 buoyancy/stability (Ch. 2), Bernoulli and control-volume momentum (Ch. 3), potential (inviscid) flow past a cylinder (Ch. 8), pipe friction and the Moody/Colebrook relation (Ch. 6), open-channel flow (Ch. 10), drag on immersed bodies and Stokes' law (Ch. 7); B. R. Munson et al., Fundamentals of Fluid Mechanics — actuator-disk propeller theory and variable-area tank draining.