NivaarExam Prep

23-Chem-B1 Transport Phenomena

Worked solutions to 11 past sittings (2013–2019), 65 questions. Pick a sitting, or start from a topic below.

Topics across the sittings

Topics that come up in more than one sitting, taken from the headings of our worked solutions. A topic counts once per sitting.

Questions by sitting

December 2019

  1. Question 1: A1 — Flow in a slightly tapered tube
  2. Question 2: A2 — Discharge from a reservoir through a pipe system
  3. Question 3: B1 — Semicircular-tube air heater (radiation + convection)
  4. Question 4: B2 — Initial cooling rate of a heated aluminium plate
  5. Question 5: C1 — Film-model dissolution with an instantaneous reaction
  6. Question 6: C2 — Deriving the diffusion equation in spherical coordinates

May 2018

  1. Question 1: A1 — Time to drain a tank through a pipe
  2. Question 2: A2 — Average-to-maximum velocity for the 1/7-power law
  3. Question 3: B1 — Mass of oil heated per hour in a tube
  4. Question 4: B2 — Conduction in a long hollow cylinder
  5. Question 5: C1 — Gas-phase mass-transfer coefficient in a wetted-wall column
  6. Question 6: C2 — Diffusion with a surface reaction 3A → B on a catalyst

December 2017

  1. Question 1: A1 — Three-reservoir branching pipe network
  2. Question 2: A2 — Velocity distribution for flow between parallel plates
  3. Question 3: B1 — Tube-side exit temperature by the transfer analogies
  4. Question 4: B2 — Transient heating of a well-stirred tank by a coil
  5. Question 5: C1 — Convective mass-transfer coefficient: flat plate and sphere
  6. Question 6: C2 — Steady diffusion through a spherical membrane wall

May 2017

  1. Question 1: A1 — Boundary layer and drag on a flat plate
  2. Question 2: A2 — Flow through a symmetric arterial stenosis
  3. Question 3: B1 — Steady-state temperature of a catalyst pellet
  4. Question 4: B2 — Free, forced, or mixed convection on a vertical plate
  5. Question 5: C1 — Length-average mass-transfer coefficient over a membrane
  6. Question 6: C2 — O&sub2; diffusion with zeroth-order consumption in a sphere

December 2016

  1. Question 1: A1 — Turbulent pipe flow from a pressure gradient
  2. Question 2: A2 — Axial drag flow in an annulus (moving rod)
  3. Question 3: B1 — Counterflow double-pipe exchanger sizing and rating
  4. Question 4: B2 — Maximum temperature in a nuclear fuel rod
  5. Question 5: C1 — Evaporation of a water spill through a stagnant air film
  6. Question 6: C2 — Diffusion equation in spherical coordinates

May 2016

  1. Question 1: A1 — Gravity-fed IV bag flow rate and emptying time
  2. Question 2: A2 — Spin-coating film-thinning law
  3. Question 3: B1 — Turbulent air heating in a pipe (constant heat flux)
  4. Question 4: B2 — Energy equation for a heated sphere (angular symmetry)
  5. Question 5: C1 — Dissolution of a rotating iron cylinder
  6. Question 6: C2 — Evaporation of a water film from a blackboard

May 2015

  1. Question 1: A1 — Average velocity of laminar pipe flow
  2. Question 2: A2 — Pressure drop, benzene vs. kerosene
  3. Question 3: B1 — Conduction with temperature-dependent conductivity
  4. Question 4: B2 — Allowable fouling resistance of a tubular exchanger
  5. Question 5: C1 — Lead dissolution along a pipe section
  6. Question 6: C2 — Falling-level pool evaporation

December 2014

  1. Question 1: A1 — Combined pressure–drag flow in an annulus
  2. Question 2: A2 — Drag on a dimpled vs. smooth golf ball
  3. Question 3: B1 — Conduction with temperature-dependent conductivity
  4. Question 4: B2 — Length of a blood-cooling coil
  5. Question 5: C1 — Diffusion-limited drug release from a gel capsule
  6. Question 6: C2 — Evaporation time of a suspended toluene drop

May 2014

  1. Question 1: A1 — Laminar flow of water between parallel plates
  2. Question 2: A2 — Spinning cone viscometer torque
  3. Question 3: B1 — Heat generation in a hollow cylinder
  4. Question 4: B2 — Composite wall with a sandwiched heater
  5. Question 5: C1 — Diffusion with homogeneous reaction to a catalyst surface
  6. Question 6: C2 — Helium diffusion through a glass tube wall

May 2013

  1. Question 1: Continuity Test of a Given Velocity Field
  2. Question 2: Combined Couette–Gravity Flow Between Vertical Plates
  3. Question 3: Steady Conduction Through a Hollow Sphere
  4. Question 4: Instantaneous Surface Reaction on a Cylinder
  5. Question 5: Oxygen Diffusion with Metabolic Consumption in Lung Tissue

Undated paper

  1. Question 1: A1 — Pressure drop for benzene and kerosene in a steel pipe
  2. Question 2: A2 — Power-law melt flow between parallel plates
  3. Question 3: B1 — Initial free-convection heat loss from a hot square steel plate
  4. Question 4: B2 — Slug flow with uniform wall flux: show that $Nu=8$
  5. Question 5: C1 — Metal oxide dissolving into a flowing melt over a flat plate
  6. Question 6: C2 — Helium leaking through a Pyrex tube wall