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Principles of Sustainable Energy Systems, Second Edition, 2nd Edition
book

Principles of Sustainable Energy Systems, Second Edition, 2nd Edition

by Frank Kreith, Susan Krumdieck
August 2013
Intermediate to advanced content levelIntermediate to advanced
790 pages
30h 5m
English
CRC Press
Content preview from Principles of Sustainable Energy Systems, Second Edition, 2nd Edition
377Solar Heating and Cooling of Buildings
© 2008 Taylor & Francis Group, LLC
Then, for a given air temperature, the differentiation of Equation 7.49 gives
dT t
dt
Ud
Tt
Udt
ge
p
()
()
=
(7.50)
Adding Equations 7.48 through 7.50 gives a single differential equation for the plate
temperature:
() ()
()
()mc
U
U
mc
dT t
dt
IUTt
TA
p
c
R
p
cs cp
ac
+
=−
()
α
(7.51)
Equation 7.51 can be solved directly for given values of I
s
and T
a
. The solution to Equation
7.51 then gives the plate temperature as a function of time, for an initial plate temperature
T
p,0
, in the form
Tt T
I
U
I
U
TT
UAt
mc UU
pa
ss
c
ss
c
pa
cc
p
c
() ()exp
(/
,
−= −−
()
+
αα
0
∞∞
)( )
cg
mc
(7.52)
Collecto
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Publisher Resources

ISBN: 9781466556966