he differential form of Fourier’s Law of conduction through a thick-walled
cylinder is given by dr
dT
kA Q −= . For a cylinder of inner radius r1 at temperature
T1, outer radius r2 at temperature T2 , and length L, this equation can be
integrated to give:
[2]
a)
b)
c)
d)
e) 1
2
21
ln
2
r
r
TT
LkQ −
=
π
12
21
2 rr
TT
LkQ −
−
=
π
21
21
11
2
rr
TT
LkQ
−
−
=
π
2
1
21
ln
2
r
r
TT
LkQ −
=
π
1
2
21
ln2 r
r
L
TT
kQ
π
−
=
A20 In the compression stroke of a gas engine, the specific work done on the gas by [2]