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IEA Solar Heating and Cooling Programm - NachhaltigWirtschaften.at

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<strong>IEA</strong> SHC Task 38 <strong>Solar</strong> Air Conditioning <strong>and</strong> Refriger<strong>at</strong>ion Subtask C2-A, November 9, 2009<br />

The glass cover exchanges he<strong>at</strong> by convection with the outside air <strong>and</strong> by radi<strong>at</strong>ion with the<br />

sky <strong>and</strong> the absorber. The absorber receives solar radi<strong>at</strong>ion <strong>and</strong> he<strong>at</strong>s the fluid inside the<br />

tube. The vapour rising from the he<strong>at</strong> pipe enters the condenser <strong>and</strong> releases energy to the<br />

circul<strong>at</strong>ing storage fluid, then exits the condenser as a s<strong>at</strong>ur<strong>at</strong>ed liquid. The he<strong>at</strong> pipe liquid is<br />

he<strong>at</strong>ed to s<strong>at</strong>ur<strong>at</strong>ion before the evapor<strong>at</strong>ion process begins.<br />

The governing equ<strong>at</strong>ions for each component (characterized by he<strong>at</strong> capacity C <strong>and</strong><br />

temper<strong>at</strong>ure T):<br />

Glass cover:<br />

M<br />

g<br />

C<br />

g<br />

dT<br />

dt<br />

g<br />

4 4<br />

4 4<br />

= ε σS<br />

( T − T ) + ε σS<br />

( T − T ) + S h ( T − T )<br />

(16)<br />

g<br />

g<br />

sky<br />

g<br />

p<br />

p<br />

p<br />

g<br />

g<br />

g<br />

a<br />

g<br />

Absorber:<br />

M<br />

p<br />

C<br />

p<br />

dT<br />

dt<br />

p<br />

4 4<br />

= ε σS<br />

( T − T ) + GταS<br />

+ S h ( T − T )<br />

(17)<br />

p<br />

p<br />

g<br />

p<br />

p<br />

H<br />

H<br />

s<strong>at</strong><br />

p<br />

Vapour flow r<strong>at</strong>e:<br />

m L = S h T − T )<br />

(18)<br />

v<br />

H<br />

H<br />

(<br />

p s<strong>at</strong><br />

Condenser:<br />

M<br />

c<br />

C<br />

dT<br />

) = m L + S h ( T − T )<br />

(19)<br />

dt<br />

c<br />

c<br />

(<br />

v v c c f c<br />

Storage fluid:<br />

m<br />

∂T<br />

f<br />

(<br />

∂t<br />

∂T<br />

f<br />

1C<br />

f<br />

+ u ) = Schc<br />

( Tc<br />

− T<br />

f<br />

∂z<br />

)<br />

(20)<br />

Storage tank<br />

In order to take into account thermal str<strong>at</strong>ific<strong>at</strong>ion in the storage tank, it is divided into n<br />

nodes [14]. The following equ<strong>at</strong>ions apply to the first node, the last node (n=12) <strong>and</strong> the ith<br />

current node:<br />

page 32

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