INTRODUCTION TO CHEMICAL ENGINEERING FLUID MECHANICS
William M. Deen
Massachusetts
Institute of Technology
University Printing House, Cambridge CB2 8BS, United Kingdom
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First published 2016
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Example 1.4-1 Speed of water waves
Example 1.4-2 Shear stress in pipe flow
Example 1.4-3 Energy of an atomic blast
Dynamic similarity
1.5 Conclusion
References
Problems
1.1 Falling body
1.2 Pendulum
1.3 Salad dressing
1.4 Heat transfer coefficient
1.5 Oscillating drops
1.6 Dip coating
1.7 Breakup of liquid jets
1.8 Valve scale-up
1.9 Ship scale-up
1.10 Power input in a stirred tank
1.11 Underwater swimming
2 Pipe flow
2.1 Introduction
2.2 Shear stress
Fundamental quantities
Friction factor
2.3 Pressure drop and dynamic pressure
Friction factor and pressure drop
Circuit analogy
Example 2.3-1 Pressure drop for water in process pipes
Example 2.3-2 Pressure drop in an oil pipeline
Example 2.3-3 Flow rate in an oil pipeline
Example 2.3-4 Capillary viscometer
2.4 Noncircular cross-sections
Turbulent flow
Laminar flow
Example 2.4-1 Pressure drop for air in a triangular duct
Example 2.4-2 Material efficiency of square and circular ducts
2.5 Wall roughness
Example 2.5-1 Effect of roughness on water flow in a process pipe
Example 2.5-2 Practical smoothness
2.6 Conclusion
References
Problems
2.1 Cavitation
2.2 Bottling honey
2.3 Filling a boiler
2.4 Syringe pump
2.5 Flue gases
2.6 Hydraulic fracturing
2.7 Drag reduction
2.8 Economic pipe diameter
2.9 Microfluidic device
2.10 Murray's law
2.11 Open-channel flow
Example 4.2-1 Manometer
Example 4.2-2 Layered fluids
Additional note: Pascal's law
4.3 Pressure forces
Stress and force vectors
Boundaries
Example 4.3-1 Rectangular tank
Example 4.3-2 Inclined planar surface
Projected areas
Immersed objects at constant pressure
Buoyancy
Example 4.3-3 Buoyancy of a sphere
4.4 Surface tension
Tensile forces and contact lines
Example 4.4-1 Young–Laplace equation
Example 4.4-2 Capillary rise
Interfaces with variable curvature
4.5 Conclusion
References
Problems
4.1 Manometry for liquid pipe flow
4.2 Hydraulic lift
4.3 Static pressure variations in air
4.4 Force on Hoover Dam
4.5 Floating cup
4.6 Sedimentation in a sucrose gradient
4.7 Half-submerged cylinder
4.8 Buoyancy of a cone
4.9 Formation of small bubbles
4.10 Capillary adhesion
4.11 Capillary flotation
4.12 Plateau–Rayleigh instability
5 Fluid kinematics
5.1 Introduction
5.2 Continuity
Example 5.2-1 Unknown velocity component
Example 5.2-2 Expansion of the Universe
Example 5.2-3 Filtration in a hollow fiber
5.3 Rates of change for moving observers
Example 5.3-1 Temperature changes sensed by a weather balloon
5.4 Rate of strain
Example 5.4-1 Rate of strain in simple shear flow
Example 5.4-2 Rate of strain in pure dilatation
5.5 Vorticity
Definition
Irrotational flow
5.6 Stream function
Definitions
Streamlines and streaklines
Example 5.6-1 Streamlines from the stream function
Trajectories
Example 5.6-2 Streamlines from trajectories
5.7 Conclusion
References
7.3 Moving surfaces
Example 7.3-1 Plane Couette flow
Example 7.3-2 Rotating rod
Example 7.3-3 Plate suddenly set in motion
7.4 Free surfaces
Example 7.4-1 Falling film on a vertical wall
Example 7.4-2 Surface of a stirred liquid
7.5 Non-Newtonian fluids
Example 7.5-1 Poiseuille flow of a power-law fluid
Example 7.5-2 Plane Couette flow of generalized Newtonian fluids
7.6 Symmetry conditions
Cylindrical symmetry
Reflective symmetry
7.7 Conclusion
References
Problems
7.1 Couette viscometer
7.2 Annular conduit
7.3 Triangular conduit
7.4 Elliptical conduit
7.5 Slip in tube flow
7.6 Darcy permeability of a fibrous material
7.7 Surface of a liquid in rigid-body rotation
7.8 Layered liquids on an inclined surface
7.9 Liquid film outside a vertical tube
7.10 Film on an upward-moving surface
7.11 Slot coating
7.12 Flow in a cavity
7.13 Falling-cylinder viscometer
7.14 Bubble rising in a tube
7.15 Paint film
7.16 Temperature-dependent viscosity
7.17 Blood rheology
8 Approximations for viscous flows
8.1 Introduction
8.2 Lubrication approximation
Example 8.2-1 Tapered channel
Example 8.2-2 Permeable tube
Example 8.2-3 Slider bearing
8.3 Creeping flow
Stokes’ equation
Example 8.3-1 Flow between porous and solid disks
Example 8.3-2 Flow past a sphere
Example 8.3-3 Stokes’ law
Porous media
8.4 Pseudosteady flow
Example 8.4-1 Parallel-plate channel with a decaying pressure drop
Example 8.4-2 Squeeze flow
8.5 Anticipating approximations
Order-of-magnitude estimation
Example 8.5-1 Order-of-magnitude analysis for a tapered channel
Example 8.5-2 Order-of-magnitude analysis for Stokes
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Flush’d with success, Beyond all hope or guess, His new dead robbery upon his back, Bunce plotted—such high flights ambition takes,— To treat the Faculty like ducks and drakes, And sell them all ere they could utter “Quack!” But fate opposed. According to the schools, When men become insufferably bad, The gods confer to drive them mad; March hairs upon the heads of April fools! Tempted by the old demon avaricious, Bunce traded on too far into the morning; Till nods, and winks, and looks, and signs suspicious, Ev’n words malicious, Forced on him rather an unpleasant warning. Glad was he to perceive, beside a wicket, A porter, ornamented with a ticket, Who did not seem to be at all too busy— “Here, my good man, Just show me, if you can, A doctor’s—if you want to earn a tizzy!”
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A TOTAL ECLIPSE OF THE SON.
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