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Solutions to Transport Phenomena 2nd Revised Edition by BSL

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Appendix A: Vector and Tensor Notation
Section A.1 Section A.2 Section A.3 Section A.4 Section A.5 Section A.6 Section A.7
Exercise 1 Exercise 1 Exercise 7 Exercise 1 Exercise 1 Exercise 7 Exercise 1 Exercise 1 Exercise 1
Exercise 2 Exercise 2 Exercise 2 Exercise 2 Exercise 8 Exercise 2 Exercise 2 Exercise 2
Exercise 3 Exercise 3 Exercise 3 Exercise 3 Exercise 9 Exercise 3 Exercise 3
Exercise 4 Exercise 4 Exercise 4 Exercise 4 Exercise 10 Exercise 4 Exercise 4
Exercise 5 Exercise 5 Exercise 5 Exercise 5 Exercise 5
Exercise 6 Exercise 6 Exercise 6

Chapter 1: Viscosity and the Mechanisms of Momentum Transport
Problem 1A.1: Estimation of dense-gas viscosity Problem 1A.2: Estimation of the viscosity of methyl fluoride
Problem 1A.3: Computation of the viscosities of gases at low density Problem 1A.4: Gas-mixture viscosities at low density
Problem 1A.5: Viscosities of chlorine-air mixtures at low density Problem 1A.6: Estimation of liquid viscosity
Problem 1A.7: Molecular velocity and mean free path Problem 1B.1: Velocity profiles and the stress components
Problem 1B.2: A fluid in a state of rigid rotation Problem 1B.3: Viscosity of suspensions
Problem 1C.1: Some consequences of the Maxwell-Boltzmann distribution Problem 1C.2: The wall collision frequency
Problem 1C.3: Pressure of an ideal gas Problem 1D.1: Uniform rotation of a fluid
Problem 1D.2: Force on a surface of arbitrary orientation

Chapter 2: Shell Momentum Balances and Velocity Distributions in Laminar Flow
Problem 2A.1: Thickness of a falling film Problem 2A.2: Determination of capillary radius by flow measurement
Problem 2A.3: Volume flow rate through an annulus Problem 2A.4: Loss of catalyst particles in stack gas
Problem 2B.1: Different choice of coordinates for the falling film problem Problem 2B.2: Alternate procedure for solving flow problems
Problem 2B.3: Laminar flow in a narrow slit Problem 2B.4: Laminar slit flow with a moving wall ("plane Couette flow")
Problem 2B.5: Interrelation of slit and annulus formulas Problem 2B.6: Flow of a film on the outside of a circular tube
Problem 2B.7: Annular flow with inner cylinder moving axially Problem 2B.8: Analysis of a capillary flowmeter
Problem 2B.9: Low-density phenomena in compressible tube flow Problem 2B.10: Incompressible flow in a slightly tapered tube
Problem 2B.11: The cone-and-plate viscometer Problem 2B.12: Flow of a fluid in a network of tubes
Problem 2C.1: Performance of an electric dust collector Problem 2C.2: Residence time distribution in tube flow
Problem 2C.3: Velocity distribution in a tube Problem 2C.4: Falling-cylinder viscometer
Problem 2C.5: Falling film on a conical surface Problem 2C.6: Rotating cone pump
Problem 2C.7: A simple rate-of-climb indicator Problem 2D.1: Rolling-ball viscometer
Problem 2D.2: Drainage of liquids

Chapter 3: The Equations of Change for Isothermal Systems
Problem 3A.1: Torque required to turn a friction bearing Problem 3A.2: Friction loss in bearings
Problem 3A.3: Effect of altitude on air pressure Problem 3A.4: Viscosity determination with a rotating-cylinder viscometer
Problem 3A.5: Fabrication of a parabolic mirror Problem 3A.6: Scale-up of an agitated tank
Problem 3A.7: Air entrainment in a draining tank Problem 3B.1: Flow between coaxial cylinders and concentric spheres
Problem 3B.2: Laminar flow in a triangular duct Problem 3B.3: Laminar flow in a square duct
Problem 3B.4: Creeping flow between two concentric spheres Problem 3B.5: Parallel-disk viscometer
Problem 3B.6: Circulating axial flow in an annulus Problem 3B.7: Momentum fluxes for creeping flow into a slot
Problem 3B.8: Velocity distribution for creeping flow toward a slot Problem 3B.9: Slow transverse flow around a cylinder
Problem 3B.10: Radial flow between parallel disks Problem 3B.11: Radial flow between two coaxial cylinders
Problem 3B.12: Pressure distribution in incompressible fluids Problem 3B.13: Flow of a fluid through a sudden contraction
Problem 3B.14: Torricelli's equation for efflux from a tank Problem 3B.15: Shape of free surface in tangential annular flow
Problem 3B.16: Flow in a slit with uniform cross flow Problem 3C.1: Parallel-disk compression viscometer
Problem 3C.2: Normal stresses at solid surfaces for compressible fluids Problem 3C.3: Deformation of a fluid line
Problem 3C.4: Alternative methods of solving the Couette viscometer problem by use of angular momentum concepts Problem 3C.5: Two-phase interfacial boundary conditions
Problem 3D.1: Derivation of the equations of change by integral theorems Problem 3D.2: The equation of change for vorticity
Problem 3D.3: Alternate form of the equation of motion

Chapter 4: Velocity Distributions with More Than One Independent Variable
Problem 4A.1: Time for attainment of steady state in tube flow Problem 4A.2: Velocity near a moving sphere
Problem 4A.3: Construction of streamlines for the potential around a cylinder Problem 4A.4: Comparison of exact and approximate profiles for flow along a flat plate
Problem 4A.5: Numerical demonstration of the von Kármán momentum balance Problem 4A.6: Use of boundary-layer formulas
Problem 4A.7: Entrance flow in conduits Problem 4B.1: Flow of a fluid with a suddenly applied constant wall stress
Problem 4B.2: Flow near a wall suddenly set in motion (approximate solution) Problem 4B.3: Creeping flow around a spherical bubble
Problem 4B.4: Use of the vorticity equation Problem 4B.5: Steady potential flow around a stationary sphere
Problem 4B.6: Potential flow near a stagnation point Problem 4B.7: Vortex flow
Problem 4B.8: The flow field about a line source Problem 4B.9: Checking solutions to unsteady flow problems
Problem 4C.1: Laminar entrance flow in a slit Problem 4C.2: Torsional oscillatory viscometer
Problem 4C.3: Darcy's equation for flow through porous media Problem 4C.4: Radial flow through a porous medium
Problem 4D.1: Flow near an oscillating wall Problem 4D.2: Start-up of laminar flow in a circular tube
Problem 4D.3: Flows in the disk-and-tube system Problem 4D.4: Unsteady annular flows
Problem 4D.5: Stream functions for three-dimensional flow

Chapter 5: Velocity Distributions in Turbulent Flow
Problem 5A.1: Pressure drop needed for laminar-turbulent transition Problem 5A.2: Velocity distribution in turbulent pipe flow
Problem 5B.1: Average flow velocity in turbulent tube flow Problem 5B.2: Mass flow rate in a turbulent circular jet
Problem 5B.3: The eddy viscosity expression in the viscous sublayer Problem 5C.1: Two-dimensional turbulent jet
Problem 5C.2: Axial turbulent flow in an annulus Problem 5C.3: Instability in a simple mechanical system
Problem 5D.1: Derivation of the equation of change for the Reynolds stresses Problem 5D.2: Kinetic energy of turbulence

Chapter 6: Interphase Transport in Isothermal Systems
Problem 6A.1: Pressure drop required for a pipe with fittings Problem 6A.2: Pressure difference required for flow in pipe with elevation change
Problem 6A.3: Flow rate for a given pressure drop Problem 6A.4: Motion of a sphere in a liquid
Problem 6A.5: Sphere diameter for a given terminal velocity Problem 6A.6: Estimation of void fraction of a packed column
Problem 6A.7: Estimation of pressure drops in annular flow Problem 6A.8: Force on a water tower in a gale
Problem 6A.9: Flow of gas through a packed column Problem 6A.10: Determination of pipe diameter
Problem 6B.1: Effect of error in friction factor calculations Problem 6B.2: Friction factor for flow along a flat plate
Problem 6B.3: Friction factor for laminar flow in a slit Problem 6B.4: Friction factor for a rotating disk
Problem 6B.5: Turbulent flow in horizontal pipes Problem 6B.6: Inadequacy of mean hydraulic radius for laminar flow
Problem 6B.7: Falling sphere in Newton's drag-law region Problem 6B.8: Design of an experiment to verify the f vs. Re chart for spheres
Problem 6B.9: Friction factor for flow past an infinite cylinder Problem 6C.1: Two-dimensional particle trajectories
Problem 6C.2: Wall effects for a sphere falling in a cylinder Problem 6C.3: Power input to an agitated tank
Problem 6D.1: Friction factor for a bubble in a clean liquid

Chapter 7: Macroscopic Balances for Isothermal Flow Systems
Problem 7A.1: Pressure rise in a sudden enlargement Problem 7A.2: Pumping a hydrochloric acid solution
Problem 7A.3: Compressible gas flow in a cylindrical pipe Problem 7A.4: Incompressible flow in an annulus
Problem 7A.5: Force on a U-bend Problem 7A.6: Flow-rate calculation
Problem 7A.7: Evaluation of various velocity averages from Pitot tube data Problem 7B.1: Velocity averages from the 1/7 power law
Problem 7B.2: Relation between force and viscous loss for flow in conduits of variable cross section Problem 7B.3: Flow through a sudden enlargement
Problem 7B.4: Flow between two tanks Problem 7B.5: Revised design of an air duct
Problem 7B.6: Multiple discharge into a common conduit Problem 7B.7: Inventory variations in a gas reservoir
Problem 7B.8: Change in liquid height with time Problem 7B.9: Draining of a cylindrical tank with exit pipe
Problem 7B.10: Efflux time for draining a conical tank Problem 7B.11: Disintegration of wood chips
Problem 7B.12: Criterion for vapor-free flow in a pipeline Problem 7C.1: End corrections in tube viscometers
Problem 7D.1: Derivation of the macroscopic balances from the equations of change

Chapter 8: Polymeric Liquids
Problem 8A.1: Flow of a polyisoprene solution in a pipe Problem 8A.2: Pumping of a polyethylene oxide solution
Problem 8B.1: Flow of a polymeric film Problem 8B.2: Power law flow in a narrow slit
Problem 8B.3: Non-Newtonian flow in an annulus Problem 8B.4: Flow of a polymeric liquid in a tapered tube
Problem 8B.5: Slit flow of a Bingham fluid Problem 8B.6: Derivation of the Buckingham-Reiner equation
Problem 8B.7: The complex-viscosity components for the Jeffreys fluid Problem 8B.8: Stress relaxation after cessation of shear flow
Problem 8B.9: Draining of a tank with an exit pipe Problem 8B.10: The Giesekus model
Problem 8C.1: The cone-and-plate viscometer Problem 8C.2: Squeezing flow between parallel disks
Problem 8C.3: Verification of Giesekus viscosity function Problem 8C.4: Tube Flow for the Oldroyd 6-Constant Model
Problem 8C.5: Chain Models with Rigid-Rod Connectors


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