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Solutions to Transport Phenomena 2nd Revised Edition by BSL
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Appendix A: Vector and Tensor Notation | ||||||||
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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 | |
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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 | |
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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 | |
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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 | |
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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 | |
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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 | |
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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 | |
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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 | |
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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 |