]H.W#5[
HeatConductionME665
A rectangular parallelepiped
,
,
is initially at temperature
, , . For times
all
boundary surfaces are kept at zero temperature . Obtain an
expression for
, , , for times
Also examine case
.
when
, ,
Solution:
GoverningEq
]H.W#5[
HeatConductionME665
1. (28)A region
0 ,
0 ,
0 is initially at uniform
temperature . for times
0 all boundaries are kept at
zero temperature. Using the product solution, obtain an
expressionforthetemperaturedistribution
, , , inthe
medium.
0
0
0
So
]H.W#4[
HeatConductionME665
1. Aslab,
boundaries at
and
distribution
,
,fortimes
0the
are kept insulated, that is,
at
,isinitiallyatatemperature
and
. Obtain an expression for the temperature
, intheslab.
1
2
. cos
cos
#5
2.2
From
=0
=0
0
,
1
,
]H.W#6[
HeatConductionME665
in the cylindrical coordinate system is
initiallyatatemperature
.Fortimes
0theboundaryat
iskeptinsulated.Obtainanexpressionforthetemperaturedistribution
, intheregionfortimes
0.
1. (32) A region
Solution:
GoverningEquation:
1
]H.W#2[
HeatConductionME665
GivenTable2.2fromOzisikyoucanpickouttheNormfor anyofthe
Plane wall (0 < x< L) cases with the 9 possible combinations of
boundary conditions. Please show how to derive the Norm for the
generalconvectionboundaryconditions(case#1