Solutions to Transport Phenomena Second (2nd) Revised Edition by Bird, Stewart, and Lightfoot (BSL)

Book Information

Title: Transport Phenomena
Authors: R. B. Bird, W. E. Stewart, and E. N. Lightfoot
Edition: Revised 2nd Edition
Pages: 905
Publisher: Copyright © 2007 by John Wiley & Sons, Inc.
ISBN: 978-0-470-11539-8
Printed in the United States of America Page
Appendix A.1 Appendix A.2 Appendix A.3 Appendix A.4 Appendix A.5 Appendix A.6 Appendix A.7
Exercise 1 | Solution Exercise 1 | Solution Exercise 1 | Solution Exercise 1 | Solution Exercise 1 | Solution Exercise 1 | Solution Exercise 1 | Solution
Exercise 2 | Solution Exercise 2 | Solution Exercise 2 | Solution Exercise 2 | Solution Exercise 2 | Solution Exercise 2 | Solution Exercise 2 | Solution
Exercise 3 | Solution Exercise 3 | Solution Exercise 3 | Solution Exercise 3 | Solution Exercise 3 | Solution Exercise 3 | Solution
Exercise 4 | Solution Exercise 4 | Solution Exercise 4 | Solution Exercise 4 | Solution Exercise 4 | Solution Exercise 4 | Solution
Exercise 5 | Solution Exercise 5 | Solution Exercise 5 | Solution Exercise 5 | Solution Exercise 5 | Solution
Exercise 6 | Solution Exercise 6 | Solution Exercise 6 | Solution
Exercise 7 | Solution Exercise 7 | Solution
Exercise 8 | Solution
Exercise 9 | Solution
Exercise 10 | Solution
Chapter 1 Chapter 2
Problem 1A.1 | Solution: Estimation of dense-gas viscosity Problem 2A.1 | Solution: Thickness of a falling film
Problem 1A.2 | Solution: Estimation of the viscosity of methyl fluoride Problem 2A.2 | Solution: Determination of capillary radius by flow measurement
Problem 1A.3 | Solution: Computation of the viscosities of gases at low density Problem 2A.3 | Solution: Volume flow rate through an annulus
Problem 1A.4 | Solution: Gas-mixture viscosities at low density Problem 2A.4 | Solution: Loss of catalyst particles in stack gas
Problem 1A.5 | Solution: Viscosities of chlorine-air mixtures at low density Problem 2B.1 | Solution: Different choice of coordinates for the falling film problem
Problem 1A.6 | Solution: Estimation of liquid viscosity Problem 2B.2 | Solution: Alternate procedure for solving flow problems
Problem 1A.7 | Solution: Molecular velocity and mean free path Problem 2B.3 | Solution: Laminar flow in a narrow slit
Problem 1B.1 | Solution: Velocity profiles and the stress components Problem 2B.4 | Solution: Laminar slit flow with a moving wall ("plane Couette flow")
Problem 1B.2 | Solution: A fluid in a state of rigid rotation Problem 2B.5 | Solution: Interrelation of slit and annulus formulas
Problem 1B.3 | Solution: Viscosity of suspensions Problem 2B.6 | Solution: Flow of a film on the outside of a circular tube
Problem 1C.1 | Solution: Some consequences of the Maxwell-Boltzmann distribution Problem 2B.7 | Solution: Annular flow with inner cylinder moving axially
Problem 1C.2 | Solution: The wall collision frequency Problem 2B.8 | Solution: Analysis of a capillary flowmeter
Problem 1C.3 | Solution: Pressure of an ideal gas Problem 2B.9 | Solution: Low-density phenomena in compressible tube flow
Problem 1D.1 | Solution: Uniform rotation of a fluid Problem 2B.10 | Solution: Incompressible flow in a slightly tapered tube
Problem 1D.2 | Solution: Force on a surface of arbitrary orientation Problem 2B.11 | Solution: The cone-and-plate viscometer
Problem 2B.12 | Solution: Flow of a fluid in a network of tubes
Problem 2C.1 | Solution: Performance of an electric dust collector
Problem 2C.2 | Solution: Residence time distribution in tube flow
Problem 2C.3 | Solution: Velocity distribution in a tube
Problem 2C.4 | Solution: Falling-cylinder viscometer
Problem 2C.5 | Solution: Falling film on a conical surface
Problem 2C.6 | Solution: Rotating cone pump
Problem 2C.7 | Solution: A simple rate-of-climb indicator
Problem 2D.1 | Solution: Rolling-ball viscometer
Problem 2D.2 | Solution: Drainage of liquids
Chapter 3 Chapter 4
Problem 3A.1 | Solution: Torque required to turn a friction bearing Problem 4A.1 | Solution: Time for attainment of steady state in tube flow
Problem 3A.2 | Solution: Friction loss in bearings Problem 4A.2 | Solution: Velocity near a moving sphere
Problem 3A.3 | Solution: Effect of altitude on air pressure Problem 4A.3 | Solution: Construction of streamlines for the potential around a cylinder
Problem 3A.4 | Solution: Viscosity determination with a rotating-cylinder viscometer Problem 4A.4 | Solution: Comparison of exact and approximate profiles for flow along a flat plate
Problem 3A.5 | Solution: Fabrication of a parabolic mirror Problem 4A.5 | Solution: Numerical demonstration of the von Kármán momentum balance
Problem 3A.6 | Solution: Scale-up of an agitated tank Problem 4A.6 | Solution: Use of boundary-layer formulas
Problem 3A.7 | Solution: Air entrainment in a draining tank Problem 4A.7 | Solution: Entrance flow in conduits
Problem 3B.1 | Solution: Flow between coaxial cylinders and concentric spheres Problem 4B.1 | Solution: Flow of a fluid with a suddenly applied constant wall stress
Problem 3B.2 | Solution: Laminar flow in a triangular duct Problem 4B.2 | Solution: Flow near a wall suddenly set in motion (approximate solution)
Problem 3B.3 | Solution: Laminar flow in a square duct Problem 4B.3 | Solution: Creeping flow around a spherical bubble
Problem 3B.4 | Solution: Creeping flow between two concentric spheres Problem 4B.4 | Solution: Use of the vorticity equation
Problem 3B.5 | Solution: Parallel-disk viscometer Problem 4B.5 | Solution: Steady potential flow around a stationary sphere
Problem 3B.6 | Solution: Circulating axial flow in an annulus Problem 4B.6 | Solution: Potential flow near a stagnation point
Problem 3B.7 | Solution: Momentum fluxes for creeping flow into a slot Problem 4B.7 | Solution: Vortex flow
Problem 3B.8 | Solution: Velocity distribution for creeping flow toward a slot Problem 4B.8 | Solution: The flow field about a line source
Problem 3B.9 | Solution: Slow transverse flow around a cylinder Problem 4B.9 | Solution: Checking solutions to unsteady flow problems
Problem 3B.10 | Solution: Radial flow between parallel disks Problem 4C.1 | Solution: Laminar entrance flow in a slit
Problem 3B.11 | Solution: Radial flow between two coaxial cylinders Problem 4C.2 | Solution: Torsional oscillatory viscometer
Problem 3B.12 | Solution: Pressure distribution in incompressible fluids Problem 4C.3 | Solution: Darcy's equation for flow through porous media
Problem 3B.13 | Solution: Flow of a fluid through a sudden contraction Problem 4C.4 | Solution: Radial flow through a porous medium
Problem 3B.14 | Solution: Torricelli's equation for efflux from a tank Problem 4D.1 | Solution: Flow near an oscillating wall
Problem 3B.15 | Solution: Shape of free surface in tangential annular flow Problem 4D.2 | Solution: Start-up of laminar flow in a circular tube
Problem 3B.16 | Solution: Flow in a slit with uniform cross flow Problem 4D.3 | Solution: Flows in the disk-and-tube system
Problem 3C.1 | Solution: Parallel-disk compression viscometer Problem 4D.4 | Solution: Unsteady annular flows
Problem 3C.2 | Solution: Normal stresses at solid surfaces for compressible fluids Problem 4D.5 | Solution: Stream functions for three-dimensional flow
Problem 3C.3 | Solution: Deformation of a fluid line
Problem 3C.4 | Solution: Alternative methods of solving the Couette viscometer problem by use of angular momentum concepts
Problem 3C.5 | Solution: Two-phase interfacial boundary conditions
Problem 3D.1 | Solution: Derivation of the equations of change by integral theorems
Problem 3D.2 | Solution: The equation of change for vorticity
Problem 3D.3 | Solution: Alternate form of the equation of motion
Chapter 5 Chapter 6
Problem 5A.1 | Solution: Pressure drop needed for laminar-turbulent transition Problem 6A.1 | Solution: Pressure drop required for a pipe with fittings
Problem 5A.2 | Solution: Velocity distribution in turbulent pipe flow Problem 6A.2 | Solution: Pressure difference required for flow in pipe with elevation change
Problem 5B.1 | Solution: Average flow velocity in turbulent tube flow Problem 6A.3 | Solution: Flow rate for a given pressure drop
Problem 5B.2 | Solution: Mass flow rate in a turbulent circular jet Problem 6A.4 | Solution: Motion of a sphere in a liquid
Problem 5B.3 | Solution: The eddy viscosity expression in the viscous sublayer Problem 6A.5 | Solution: Sphere diameter for a given terminal velocity
Problem 5C.1 | Solution: Two-dimensional turbulent jet Problem 6A.6 | Solution: Estimation of void fraction of a packed column
Problem 5C.2 | Solution: Axial turbulent flow in an annulus Problem 6A.7 | Solution: Estimation of pressure drops in annular flow
Problem 5C.3 | Solution: Instability in a simple mechanical system Problem 6A.8 | Solution: Force on a water tower in a gale
Problem 5D.1 | Solution: Derivation of the equation of change for the Reynolds stresses Problem 6A.9 | Solution: Flow of gas through a packed column
Problem 5D.2 | Solution: Kinetic energy of turbulence Problem 6A.10 | Solution: Determination of pipe diameter
Problem 6A.10 | Solution: Determination of pipe diameter
Problem 6B.1 | Solution: Effect of error in friction factor calculations
Problem 6B.2 | Solution: Friction factor for flow along a flat plate
Problem 6B.3 | Solution: Friction factor for laminar flow in a slit
Problem 6B.4 | Solution: Friction factor for a rotating disk
Problem 6B.5 | Solution: Turbulent flow in horizontal pipes
Problem 6B.6 | Solution: Inadequacy of mean hydraulic radius for laminar flow
Problem 6B.7 | Solution: Falling sphere in Newton's drag-law region
Problem 6B.8 | Solution: Design of an experiment to verify the f vs. Re chart for spheres
Problem 6B.9 | Solution: Friction factor for flow past an infinite cylinder
Problem 6C.1 | Solution: Two-dimensional particle trajectories
Problem 6C.2 | Solution: Wall effects for a sphere falling in a cylinder
Problem 6C.3 | Solution: Power input to an agitated tank
Problem 6D.1 | Solution: Friction factor for a bubble in a clean liquid
Chapter 7 Chapter 8
Problem 7A.1 | Solution: Pressure rise in a sudden enlargement Problem 8A.1 | Solution: Flow of a polyisoprene solution in a pipe
Problem 7A.2 | Solution: Pumping a hydrochloric acid solution Problem 8A.2 | Solution: Pumping of a polyethylene oxide solution
Problem 7A.3 | Solution: Compressible gas flow in a cylindrical pipe Problem 8B.1 | Solution: Flow of a polymeric film
Problem 7A.4 | Solution: Incompressible flow in an annulus Problem 8B.2 | Solution: Power law flow in a narrow slit
Problem 7A.5 | Solution: Force on a U-bend Problem 8B.3 | Solution: Non-Newtonian flow in an annulus
Problem 7A.6 | Solution: Flow-rate calculation Problem 8B.4 | Solution: Flow of a polymeric liquid in a tapered tube
Problem 7A.7 | Solution: Evaluation of various velocity averages from Pitot tube data Problem 8B.5 | Solution: Slit flow of a Bingham fluid
Problem 7B.1 | Solution: Velocity averages from the 1/7 power law Problem 8B.6 | Solution: Derivation of the Buckingham-Reiner equation
Problem 7B.2 | Solution: Relation between force and viscous loss for flow in conduits of variable cross section Problem 8B.7 | Solution: The complex-viscosity components for the Jeffreys fluid
Problem 7B.3 | Solution: Flow through a sudden enlargement Problem 8B.8 | Solution: Stress relaxation after cessation of shear flow
Problem 7B.4 | Solution: Flow between two tanks Problem 8B.9 | Solution: Draining of a tank with an exit pipe
Problem 7B.5 | Solution: Revised design of an air duct Problem 8B.10 | Solution: The Giesekus model
Problem 7B.6 | Solution: Multiple discharge into a common conduit Problem 8C.1 | Solution: The cone-and-plate viscometer
Problem 7B.7 | Solution: Inventory variations in a gas reservoir Problem 8C.2 | Solution: Squeezing flow between parallel disks
Problem 7B.8 | Solution: Change in liquid height with time Problem 8C.3 | Solution: Verification of Giesekus viscosity function
Problem 7B.9 | Solution: Draining of a cylindrical tank with exit pipe Problem 8C.4 | Solution: Tube Flow for the Oldroyd 6-Constant Model
Problem 7B.10 | Solution: Efflux time for draining a conical tank Problem 8C.5 | Solution: Chain Models with Rigid-Rod Connectors
Problem 7B.11 | Solution: Disintegration of wood chips
Problem 7B.12 | Solution: Criterion for vapor-free flow in a pipeline
Problem 7C.1 | Solution: End corrections in tube viscometers
Problem 7D.1 | Solution: Derivation of the macroscopic balances from the equations of change
Chapter 9 Chapter 10
Problem 9A.1 | Solution: Prediction of thermal conductivities of gases at low density Problem 10A.1 | Solution: Heat loss from an insulated pipe
Problem 9A.2 | Solution: Computation of the Prandtl numbers for gases at low density Problem 10A.2 | Solution: Heat loss from a rectangular fin
Problem 9A.3 | Solution: Estimation of the thermal conductivity of a dense gas Problem 10A.3 | Solution: Maximum temperature in a lubricant
Problem 9A.4 | Solution: Prediction of the thermal conductivity of a gas mixture Problem 10A.4 | Solution: Current-carrying capacity of a wire
Problem 9A.5 | Solution: Estimation of the thermal conductivity of a pure liquid Problem 10A.5 | Solution: Free convection velocity
Problem 9A.6 | Solution: Calculation of the Lorenz number Problem 10A.6 | Solution: Insulating power of a wall
Problem 9A.7 | Solution: Corroboration of the Wiedemann-Franz-Lorenz law Problem 10A.7 | Solution: Viscous heating in a ball-point pen
Problem 9A.8 | Solution: Thermal conductivity and Prandtl number of a polyatomic gas Problem 10B.1 | Solution: Heat conduction from a sphere to a stagnant fluid
Problem 9A.9 | Solution: Thermal conductivity of gaseous chlorine Problem 10B.2 | Solution: Viscous heating in slit flow
Problem 9A.10 | Solution: Thermal conductivity of chlorine-air mixtures Problem 10B.3 | Solution: Heat conduction in a nuclear fuel rod assembly
Problem 9A.11 | Solution: Thermal conductivity of quartz sand Problem 10B.4 | Solution: Heat conduction in an annulus
Problem 9A.12 | Solution: Calculation of molecular diameters from transport properties Problem 10B.5 | Solution: Viscous heat generation in a polymer melt
Problem 9C.1 | Solution: Enskog theory for dense gases Problem 10B.6 | Solution: Insulation thickness for a furnace wall
Problem 10B.7 | Solution: Forced-convection heat transfer in flow between parallel plates
Problem 10B.8 | Solution: Electrical heating of a pipe
Problem 10B.9 | Solution: Plug flow with forced-convection heat transfer
Problem 10B.10 | Solution: Free convection in an annulus of finite height
Problem 10B.11 | Solution: Free convection with temperature-dependent viscosity
Problem 10B.12 | Solution: Heat conduction with temperature-dependent thermal conductivity
Problem 10B.13 | Solution: Flow reactor with exponentially temperature-dependent source
Problem 10B.14 | Solution: Evaporation loss from an oxygen tank
Problem 10B.15 | Solution: Radial temperature gradients in an annular chemical reactor
Problem 10B.16 | Solution: Temperature distribution in a hot-wire anemometer
Problem 10B.17 | Solution: Non-Newtonian flow with forced-convection heat transfer
Problem 10B.18 | Solution: Reactor temperature profiles with axial heat flux
Problem 10C.1 | Solution: Heating of an electric wire with temperature-dependent electrical and thermal conductivity
Problem 10C.2 | Solution: Viscous heating with temperature-dependent viscosity and thermal conductivity
Problem 10C.3 | Solution: Viscous heating in a cone-and-plate viscometer
Problem 10D.1 | Solution: Heat loss from a circular fin
Problem 10D.2 | Solution: Duct flow with constant wall heat flux and arbitrary velocity distribution
Chapter 11 Chapter 12
Problem 11A.1 | Solution: Temperature in a friction bearing Problem 12A.1 | Solution: Unsteady-state heat conduction in an iron sphere
Problem 11A.2 | Solution: Viscosity variation and velocity gradients in a nonisothermal film Problem 12A.2 | Solution: Comparison of the two slab solutions for short times
Problem 11A.3 | Solution: Transpiration cooling Problem 12A.3 | Solution: Bonding with a thermosetting adhesive
Problem 11A.4 | Solution: Free-convection heat loss from a vertical surface Problem 12A.4 | Solution: Quenching of a steel billet
Problem 11A.5 | Solution: Velocity, temperature, and pressure changes in a shock wave Problem 12A.5 | Solution: Measurement of thermal diffusivity from amplitude of temperature oscillations
Problem 11A.6 | Solution: Adiabatic frictionless compression of an ideal gas Problem 12A.6 | Solution: Forced convection from a sphere in creeping flow
Problem 11A.7 | Solution: Effect of free convection on the insulating value of a horizontal air space Problem 12B.1 | Solution: Measurement of thermal diffusivity in an unsteady-state experiment
Problem 11B.1 | Solution: Adiabatic frictionless processes in an ideal gas Problem 12B.2 | Solution: Two-dimensional forced convection with a line heat source
Problem 11B.2 | Solution: Viscous heating in laminar tube flow (asymptotic solutions) Problem 12B.3 | Solution: Heating of a wall (constant wall heat flux)
Problem 11B.3 | Solution: Velocity distribution in a nonisothermal film Problem 12B.4 | Solution: Heat transfer from a wall to a falling film (short contact time limit)
Problem 11B.4 | Solution: Heat conduction in a spherical shell Problem 12B.5 | Solution: Temperature in a slab with heat production
Problem 11B.5 | Solution: Axial heat conduction in a wire Problem 12B.6 | Solution: Forced convection in slow flow across a cylinder
Problem 11B.6 | Solution: Transpiration cooling in a planar system Problem 12B.7 | Solution: Timetable for roasting turkey
Problem 11B.7 | Solution: Reduction of evaporation losses by transpiration Problem 12B.8 | Solution: Use of asymptotic boundary layer solution
Problem 11B.8 | Solution: Temperature distribution in an embedded sphere Problem 12B.9 | Solution: Non-Newtonian heat transfer with constant wall heat flux (asymptotic solution for small axial distances)
Problem 11B.9 | Solution: Heat flow in a solid bounded by two conical surfaces Problem 12C.1 | Solution: Product solutions for unsteady heat conduction in solids
Problem 11B.10 | Solution: Freezing of a spherical drop Problem 12C.2 | Solution: Heating of a semi-infinite slab with variable thermal conductivity
Problem 11B.11 | Solution: Temperature rise in a spherical catalyst pellet Problem 12C.3 | Solution: Heat conduction with phase change (the Neumann-Stefan problem
Problem 11B.12 | Solution: Stability of an exothermic reaction system Problem 12C.4 | Solution: Viscous heating in oscillatory flow
Problem 11B.13 | Solution: Laminar annular flow with constant wall heat flux Problem 12C.5 | Solution: Solar heat penetration
Problem 11B.14 | Solution: Unsteady-state heating of a sphere Problem 12C.6 | Solution: Heat transfer in a falling non-Newtonian film
Problem 11B.15 | Solution: Dimensionless variables for free convection Problem 12D.1 | Solution: Unsteady-state heating of a slab (Laplace transform method)
Problem 11C.1 | Solution: The speed of propagation of sound waves Problem 12D.2 | Solution: The Graetz-Nusselt problem
Problem 11C.2 | Solution: Free convection in a slot Problem 12D.3 | Solution: The Graetz-Nusselt problem (asymptotic solution for large z)
Problem 11C.3 | Solution: Tangential annular flow of a highly viscous liquid Problem 12D.4 | Solution: The Graetz-Nusselt problem (asymptotic solution for small z)
Problem 11C.4 | Solution: Heat conduction with variable thermal conductivity Problem 12D.5 | Solution: The Graetz problem for flow between parallel plates
Problem 11C.5 | Solution: Effective thermal conductivity of a solid with spherical inclusions Problem 12D.6 | Solution: The constant wall heat flux problem for parallel plates
Problem 11C.6 | Solution: Interfacial boundary conditions Problem 12D.7 | Solution: Asymptotic solution for small z for laminar tube flow with constant heat flux
Problem 11C.7 | Solution: Effect of surface-tension gradients on a falling film Problem 12D.8 | Solution: Forced conduction heat transfer from a flat plate (thermal boundary layer extends beyond the momentum boundary layer)
Problem 11D.1 | Solution: Equation of change for entropy
Problem 11D.2 | Solution: Viscous heating in laminar tube flow
Problem 11D.3 | Solution: Derivation of the energy equation using integral theorems