Chapter 3
Steady-State,
O Di
One-Dimensional
i
l Conduction
C d ti
3.11 The Plane Wall
3
3.1.1 Temperature Distribution
For one-dimensional, steady-state conduction in a plane wall with
no heat generation, the differential equation (2.13) reduces to
d k d

Chapter 2
Fundamental Concepts of
C d ti
Conduction
2 1 The Conduction Rate Equation
2.1
Fourier's law: from observation
r
T
T
T
q = kT = k (i
+j
+k
)
x
y
z
(2.3)
(2.5)
= iq x + jqy + kqz
T q = k T q = k T
q
=
k
x
y
z
where
(2.6)
x
y
z
or qn = k Tn
(2.4)

Ch t 1
Chapter
Essential Concepts
p
1.11 What and How?
1
Heat Transfer (or heat) is thermal energy in transit due
to a spatial temperature difference.
Three modes of heat transfer: conduction, convection,
and radiation (Fig. 1.1)
1.22 Physical Origins a

Ch t 4
Chapter
Steady-State
y
MultiDimensional Conduction
4 1 Alternative Approaches
4.1
For 2-D, steady-state conduction with no heat generation and
constant k,
k the differential equation
eq ation (2.16)
(2 16) reduces
red ces to
2T + 2 T = 0
x 2 y2
T