This preview shows page 1. Sign up to view the full content.
Chapter 2
Heat Conduction Equation
239C
We try to avoid the radiation boundary condition in heat transfer analysis because it is a nonlinear
expression that causes mathematical difficulties while solving the problem; often making it impossible to
obtain analytical solutions.
240
A spherical container of inner radius
, outer radius
, and thermal
conductivity
k
is given. The boundary condition on the inner surface of the
container for steady onedimensional conduction is to be expressed for the
following cases:
r
1
r
2
r
1
r
2
(
a
) Specified temperature of 50
°
C:
Tr
()
1
50
=
°
C
(
b
) Specified heat flux of 30 W/m
2
towards the center:
k
dT r
dr
1
30
=
W/m
2
(
c
) Convection to a medium at
with a heat transfer coefficient of
h
:
T
∞
k
dT r
dr
hTr
T
[()
]
1
1
=−
∞
241
Heat is generated in a long wire of radius
covered with a plastic insulation layer at a constant rate
of
. The heat flux boundary condition at the interface (radius
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 01/14/2012 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