SIXTH EDITION

Fundamentals
of Heat
and Mass
Transfer
FRANK P. INCROPERA
College of Engineering
University of Notre Dame

...
ASSOCIATE PUBLISHER
ACQUISITIONS EDITOR
SENIOR PRODUCTION EDITOR
MARKETING MANAGER
SENIOR DESIGNER
COVER and TEXT DESIGNER...
In Memory
David P. DeWitt
March 2, 1934–May 17, 2005
The year 2005 was marked by the loss of Dr. David P. DeWitt, a dear f...
Forward to Preface

Not too long after finishing the previous editions of Fundamentals of Heat and
Mass Transfer and Introd...
Preface

Since the last edition, fundamental changes have occurred, both nationally and
globally, in how engineering is pr...
viii

Preface

Approach and Organization
From our perspective, the four learning objectives desired in any first course in ...
Preface

ix

have found that, once students have seen its power and ease of use, they will eagerly
utilize IHT’s additiona...
x

Preface

Hence, we have relegated the graphical representations to the supplemental material.
Because of the ease and f...
Preface

xi

Appreciation is extended to our colleagues at the University of Connecticut and
UCLA who provided valuable in...
Contents

Symbols
CHAPTER

xxiii

1

Introduction

1
1.1
1.2

1.3

1.4

What and How?
Physical Origins and Rate Equations
...
xiv

Contents

1.5
1.6
1.7

CHAPTER

Relevance of Heat Transfer
Units and Dimensions
Summary
References
Problems

2

Intro...
Contents

CHAPTER

4

Two-Dimensional, Steady-State Conduction
4.1
4.2
4.3
4.4

4.5

4.6

Alternative Approaches
The Metho...
xvi

Contents

5.10 Finite-Difference Methods
5.10.1 Discretization of the Heat Equation: The Explicit Method
5.10.2 Discr...
Contents

CHAPTER

7

External Flow

401
7.1
7.2

7.3
7.4

7.5
7.6
7.7

7.8
7.9

CHAPTER

xvii

The Empirical Method
The F...
xviii

Contents

8.8

Microscale Internal Flow
8.8.1 Flow Conditions in Microscale Internal Flow 524
8.8.2 Thermal Conside...
Contents

xix

10.5

636

Forced Convection Boiling
10.5.1 External Forced Convection Boiling 637
10.5.2 Two-Phase Flow 63...
xx

Contents

12.4
12.5

12.6
12.7
12.8
12.9

CHAPTER

12.3.3 The Stefan-Boltzmann Law 738
12.3.4 Band Emission 739
Emissi...
Contents

xxi

14.4

894

14.5

14.6
14.7
14.8

APPENDIX

Conservation of Species for a Stationary Medium
14.4.1 Conservat...
Symbols

A
Ab
Ac
Aff

Afr
Ap
Ar
a
Bi
Bo
C
CD
Cf
Ct
Co
c
cp
cv
D
DAB
Db
Dh
E

tot

E
Ec
˙
Eg
˙
Ein

˙
Eout

A area, m2
area...
xxiv

Symbols

ji

jH
jm
k
k0
k1
kЉ
1
L
Le
M

˙
Mi
˙
Mi,g
˙
Min
˙
Mout
˙
Mst
ᏹi
m
m
˙
mi
N

NL,NT
Nu
NTU
Ni
NЉ
i
˙
Ni
˙
Ni...
xxv

Symbols

Greek Letters
␣
thermal diffusivity, m2/s; heat
exchanger surface area per unit
volume, m2/m3; absorptivity
...
C H A P T E R

1
Introduction
2

Chapter 1

᭿

Introduction

F

rom the study of thermodynamics, you have learned that energy can be transferred by inte...
1.2

᭿

3

Physical Origins and Rate Equations

temperatures. The third mode of heat transfer is termed thermal radiation....
4

Chapter 1

᭿

Introduction

Higher temperatures are associated with higher molecular energies, and when
neighboring mol...
1.2

᭿

5

Physical Origins and Rate Equations

or

Љ
qx ϭ k

T1 Ϫ T2
ϭ k ⌬T
L
L

(1.2)

Note that this equation provides ...
6

Chapter 1

Introduction

᭿

The heat flux represents the rate of heat transfer through a section of unit area, and it
is...
1.2

᭿

7

Physical Origins and Rate Equations

fluid velocity is low. In fact, at the interface between the surface and th...
8

Chapter 1

᭿

Introduction

the flow of Figure 1.5a are small and/or buoyancy forces are large, a secondary
flow that is ...
1.2

᭿

9

Physical Origins and Rate Equations

When Equation 1.3a is used, the convection heat flux is presumed to be posi...
10

Chapter 1

᭿

Introduction

where ␧ is a radiative property of the surface termed the emissivity. With values in
the r...
1.2

᭿

11

Physical Origins and Rate Equations

to a temperature difference rather than to the difference between two tem...
12

Chapter 1

᭿

Introduction

Analysis:
1. The surface emissive power may be evaluated from Equation 1.5, while the ir4
...
1.3

᭿

13

The Conservation of Energy Requirement

of energy required in the form of heat for a system to pass from one e...
14

Chapter 1

᭿

Introduction

The first law can also be applied to a control volume (or open system), a region
of space b...
1.3

᭿

The Conservation of Energy Requirement

15

(accumulated) in the control volume; if the converse is true, there wi...
16

Chapter 1

᭿

Introduction

For the study of heat transfer, we focus attention on the sensible and latent
components o...
1.3

᭿

17

The Conservation of Energy Requirement

q
zout

(ut , pv, V)in

zin

(ut , pv, V)out

•

W

Reference height

...
18

Chapter 1

᭿

Introduction

2. An incompressible liquid with negligible kinetic and potential energy changes
and negli...
1.3

᭿

19

The Conservation of Energy Requirement

Assumptions:
1. At any time t the temperature of the rod is uniform.
2...
Chapter 1

᭿

Introduction

2. For fixed environmental conditions (h, Tϱ, Tsur), as well as a rod of fixed geometry (D) and ...
1.3

᭿

21

The Conservation of Energy Requirement

(MEA). At the anode, protons and electrons are generated (2H2 l 4Hϩ ϩ ...
22

Chapter 1

᭿

Introduction

where V has units of m/s. The exterior surface of the fuel cell has an emissivity of
␧ ϭ 0...
1.3

᭿

23

The Conservation of Energy Requirement

where
4
qrad ϭ ␧A␴ (T 4 Ϫ Tsur)
c
ϭ 0.88 ϫ (2 ϫ 0.05 m ϫ 0.05 m) ϫ 5.6...
24

Chapter 1

᭿

Introduction

Find: Expression for time needed to melt the ice.
Schematic:
Section A-A

A

A

T1

Ein

∆...
1.3

᭿

25

The Conservation of Energy Requirement

to take the ice from the subcooled to the fusion temperature. During t...
26

Chapter 1

᭿

Introduction

convection from the surface to a fluid (qЉ ), and net radiation exchange from the
conv
surf...
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Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
Fundamentals of heat and mass transfer   frank p. incropera
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