NivaarExam PrepOfficial exam papers ↗

04-BS-7: December 2013

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

  1. Question 1 Capillary Rise Between Closely Packed Vertical Rods
  2. Question 2 Viscous Heating in the Crankshaft Main Bearings
  3. Question 3 Sliding Friction Required to Hold a Concrete Dam
  4. Question 4 Head Loss in a Long Water Supply Pipeline
  5. Question 5 Wind-Induced Ventilation of an Outhouse Pit
  6. Question 6 Power Required for a Submersible Garden Fountain
  7. Question 7 Thrust and Flow Areas of a Turbojet Engine
  8. Question 8 Pipe Diameter Selection from the Moody Chart
  9. Question 9 Settling Velocity of Magnetite in a Separation Slurry
  10. Question 10 Spillway Flow — Streamlines, EGL and HGL
  11. Question 11 Stable Floating Orientation of a Square Timber
  12. Question 12 Flood Velocity and Flow Rate in a Wide Shallow River
  13. Question 13 Flow Characteristics — Sink/Jet Streamlines and Orifice Contraction

Start with Question 1 →

04-BS-7 Mechanics of Fluids — National Examination, 2013-Dec. Three (3) hours duration, closed book. Section A (Calculative, 9 questions, do 7) and Section B (Analytical, 4 questions, do 3); every question is answered below regardless of the exam's "do N of M" instruction, so the set is a complete study resource.

Reference texts: Crowe, C.T., Elger, D.F. & Roberson, J.A., Engineering Fluid Mechanics; Douglas, J.F., Gasiorek, J.M., Swaffield, J.A. & Jack, L.B., Fluid Mechanics; White, F.M., Fluid Mechanics.

Check — assumptions used across this paper:
  • Air density is taken from the paper's own Constants table at the temperature each question states: 1.19 kg/m³ at 20°C (Q5's wind, Q7's inlet air).
  • Q1's touching-rod array is modelled as a repeating square unit cell of four mutually tangent rods (pitch = rod diameter, per the question's own "closely packed" wording), giving a curvilinear-square pore whose perimeter/area ratio drives the capillary rise.
  • Q8's Moody diagram and Q9's drag-coefficient diagram are supplied as attachments. Both are solved via the equations the charts themselves plot: the Colebrook–White equation for Q8 and the Morrison (2013) curve-fit for sphere drag vs. Reynolds number for Q9.