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l ALGEBRAIC OPERATIONS FOR VECTORS AND 
TENSORS IN CARTESIAN COORDINATES 
(s is a scalar; v and w are vectors; T is a tens...
d2vz d2v, d2vZ 
[V2v]=, [V Vv] ,= - +- 
ax2 + 3 az2 
[v Vv] , dvx dvx dvx = vx - + v - + v, -- dx Y dy dz 
[v dvz dv, dvz ...
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Transport 
Phenomena 
Second Edition 
R. Byron Bird 
Warren E. Stewart 
Edwin N. Lightfoot 
Chemical Engineering Departmen...
Acquisitions Editor Wayne Anderson 
Marketing Manager Katherine Hepburn 
Senior Production Editor Petrina Kulek 
Director ...
Preface 
While momentum, heat, and mass transfer developed independently as branches of 
classical physics long ago, their...
iv Preface 
Fourier analysis of turbulent transport at high Pr or Sc 
more on heat and mass transfer coefficients 
enlarge...
Contents 
Preface 52.4 Flow through an Annulus 53 
52.5 Flow of Two Adjacent Immiscible Fluids 56 
Chapter 0 The Subject o...
vi Contents 
Ex. 4.1-2 Unsteady Laminar Flow between Two 
Parallel Plates 117 
Ex. 4.1-3 Unsteady Laminar Flow near an 
Os...
Ex. 8.3-3 Tangential Annular Flow of a Power- 
Law Fluid 244 
~8.4' Elasticity and the Linear Viscoelastic 
Models 244 
Ex...
viii Contents 
311.5 Dimensional Analysis of the Equations of Change 
for Nonisothermal Systems 353 
Ex. 11.5-1 Temperatur...
Contents ix 
Ex. 15.5-1 Heating of a Liquid in an Agitated 
Tank 466 
Ex. 15.5-2 Operation of a Simple Temperature 
Contro...
x Contents 
519.2 Summary of the Multicomponent Equations of 
Change 586 
519.3 Summary of the Multicomponent Fluxes 590 
...
Contents xi 
~ 2 2 . 7Ef~fe cts of Interfacial Forces on Heat and Mass 
Transfer 699 
Ex. 22.7-1 Elimination of Circulatio...
xii Contents 
Tensor Operations in Terms of 
Components 815 
Vector and Tensor Differential Operations 819 
Ex. A.4-1 Proo...
Chapter 0 
The Subject of Transport 
Phenomena 
90.1 What are the transport phenomena? 
50.2 Three levels at which transpo...
2 Chapter 0 The Subject of Transport Phenomena 
motions and interactions are responsible for viscosity, thermal conductivi...
50.2 Three Levels At Which Transport Phenomena Can Be Studied 3 
ecular structure and intermolecular forces. Generally thi...
4 Chapter 0 The Subject of Transport Phenomena 
Table 0.2-1 Organization of the Topics in This Book 
Type of transport Mom...
90.3 The Conservation Laws: An Example 5 
Molecule A before collision I 
I 
Fig. 0.3-1 A collision 
between homonuclear 
d...
6 Chapter 0 The Subject of Transport Phenomena 
center of mass and the position vector of the atom with respect to the cen...
s0.4 Concluding Comments 7 
The conservation laws as applied to collisions of monatomic molecules can be ob-tained 
from t...
8 Chapter 0 The Subject of Transport Phenomena 
QUESTIONS FOR DISCUSSION 
What are the definitions of momentum, angular mo...
Part One 
Momentum 
Transport
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Chapter 1 
Viscosity and the Mechanisms 
of Momentum Transport 
51.1 Newton's law of viscosity (molecular momentum transpo...
12 Chapter 1 Viscosity and the Mechanisms of Momentum Transport 
Fluid initially 
< O at rest 
Lower plate 
f = O set in m...
51.1 Newton's Law of Viscosity (Molecular Transport of Momentum) 13 
should not refer to Eq. 1.1-2 as a "law," since Newto...
14 Chapter 1 Viscosity and the Mechanisms of Momentum Transport 
Table 1.1-1 Summary of Units for Quantities 
Related to E...
$1.1 Newton's Law of Viscosity (Molecular Transport of Momentum) 15 
Table 1.1-4 Viscosities of Some Liquid Metals 
Temper...
16 Chapter 1 Viscosity and the Mechanisms of Momentum Transport 
1 . 2 GENERALIZATION OF NEWTON'S LAW OF VISCOSITY 
In the...
1 2 Generalization of Newton's Law of Viscosity 17 
any instant of time we can slice the volume element in such a way as t...
18 Chapter 1 Viscosity and the Mechanisms of Momentum Transport 
I, vectors." Therefore we will refer to T as the z~iscous...
1.2 Generalization of Newton's Law of Viscosity 19 
sired, this set of relations can be written more concisely in the vect...
20 Chapter 1 Viscosity and the Mechanisms of Momentum Transport 
of radius R 
Force by fluid in 
+8 direction on 
surface ...
3 Pressure and Temperature Dependence of Viscosity 21 
Fig. 1.2-3 The flow in a converging duct is an example of a situati...
22 Chapter 1 Viscosity and the Mechanisms of Momentum Transport 
Fig. 1.3-1 Reduced vis-cosity 
pr = p/p, as a 
function o...
1 . 4 Molecular Theory of the Viscosity of Gases at Low Density 23 
unless there are chemically dissimilar substances in t...
24 Chapter 1 Viscosity and the Mechanisms of Momentum Transport 
The average distance traveled by a molecule between succe...
4 Molecular Theory of the Viscosity of Gases at Low Density 25 
or, by combining Eqs. 1.4-1,3, and 8 
This expression for ...
26 Chapter 1 Viscosity and the Mechanisms of Momentum Transport 
A rigorous kinetic theory of monatomic gases at low densi...
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