One
One


Dimensional, Steady
Dimensional, Steady


State
State
Conduction without
Conduction without
Thermal Energy Generation
Thermal Energy Generation
Chapter
Three
Chapter
Three
Sections 3.1 through 3.4
Sections 3.1 through 3.4
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Methodology
•
Specify appropriate form of the
heat equation
.
•
Solve for the
temperature distribution
.
•
Apply
Fourier’s law
to determine the
heat flux
.
Simplest Case:
OneDimensional
,
SteadyState
Conduction with
No
Thermal Energy
Generation
.
•
Common Geometries:
–
The
Plane Wall
: Described in rectangular (
x
) coordinate.
Area
perpendicular to direction of heat transfer is constant (independent of
x
).
–
The
Tube Wall
:
Radial conduction through tube wall.
–
The
Spherical Shell
:
Radial conduction through shell wall.
Methodology of a Conduction Analysis