
367Solar Heating and Cooling of Buildings
© 2008 Taylor & Francis Group, LLC
The constants C
1
and C
2
can be determined by substituting the two boundary conditions
and solving the two resulting equations for C
1
and C
2
. This gives
cass c
−+
=
α
(7.29)
From the preceding equation, the rate of heat transfer to the conduit from the portion of
the plate between two conduits can be determined by evaluating the temperature gradient
at the base of the n, or
qkt
dT
dy m
IUTx
w
fin
c
yw
ss cb a
=− =− −
[]
=
1
0
α () tanh (7.30)
Since the conduit is connected to ns on both sides, the total rate of heat transfer is
qx wIUTxT