This preview shows page 1. Sign up to view the full content.
Chapter 5
Numerical Methods in Heat Conduction
5118E
A plane wall in space is subjected to specified temperature on one side and radiation and heat flux
on the other. The finite difference formulation of this problem is to be obtained, and the nodal temperatures
under steady conditions are to be determined.
Assumptions
1
Heat transfer through the wall is given to be steady and onedimensional.
2
Thermal
conductivity is constant.
3
There is no heat generation.
4
There is no convection in space.
Properties
The properties of the wall are given to be
k
=1.2
W/m
⋅
°C,
ε
= 0.80, and
α
s
= 0.45.
T
0
Δ
x
Radiation
1
q
s
•
•
•
•
0
2
3
T
surr
Analysis
The nodal spacing is given to be
Δ
x
= 0.1 ft. Then
the number of nodes becomes
1
/
+
Δ
=
x
L
M
= 0.3/0.1+1 =
4. The left surface temperature is given to be
T
0
= 520 R =
60
°
F. This problem involves 3 unknown nodal
temperatures, and thus we need to have 3 equations to
determine them uniquely. Nodes 1 and 2 are interior nodes,
and thus for them we can use the general finite difference
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 01/22/2012 for the course PHY 4803 taught by Professor Dr.danielarenas during the Fall '10 term at UNF.
 Fall '10
 Dr.DanielArenas
 Thermodynamics, Mass, Heat, Radiation

Click to edit the document details