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5. SIMULATION AND RESULTS<br />

Efficiency vs NTU for counterflow HEX<br />

ε<br />

1,0<br />

0,9<br />

0,8<br />

0,7<br />

0,6<br />

0,5<br />

0,4<br />

0,3<br />

0,2<br />

0,1<br />

0,0<br />

C_ratio = 0<br />

C_ratio = 0,25<br />

C_ratio = 0,50<br />

C_ratio = 1,00<br />

0 1 2 3 4 5<br />

NTU<br />

Figure 5.30: The figure shows the relation between ɛ (effectiveness) <strong>and</strong> NTU (Number <strong>of</strong><br />

Transfer Units) for a counterflow heat exchanger.<br />

The correlation between NTU <strong>and</strong> ɛ for a counter flow heat exchanger<br />

can be seen in figure 5.30. (GGHEX4 <strong>and</strong> the SHEXes are assumed to be<br />

counterflow, <strong>and</strong> the EVAP <strong>and</strong> ABSO has a heat capacity flow ratio <strong>of</strong> 0<br />

which means that the flow ɛ-NTU relation is unaffected by the flow configuration<br />

<strong>and</strong> only depends on NTU).<br />

It is seen that the SHEXes have the largest relative sizes (a large NTU<br />

means that the HEX is large relative to the (smallest) heat capacity flow).<br />

Hence it is easiest (<strong>and</strong> cheapest) to improve the heat exchangers which<br />

have a low NTU number. So the SHEXes will not be improved further,<br />

whereas the GGHEX, EVAP <strong>and</strong> ABSO can be improved. The list below<br />

show the values used in the optimization.<br />

1. GGHEX4: 8,7% (∆T min =9,4 ◦ C, ɛ=0,9, NTU=5,0) Ċ r atio = 0,78<br />

2. SHEX1: 2,4% (∆T min =5 ◦ C, ɛ=0,87, NTU=5,0 Ċ r atio = 0,88)<br />

3. EVAP: 1,6% (∆T min =2,7 ◦ C, ɛ=0,65, NTU=1,0)Ċ r atio = 0<br />

4. ABSO: 1,6% (∆T min =1,8 ◦ C, ɛ=0,65, NTU=1,0) Ċ r atio = 0<br />

5. SHEX2: 1,5% (∆T min =5 ◦ C, ɛ=0,87, NTU=5,0) Ċ r atio = 0,89<br />

Since GGHEX4 is very important, it has been decided that a very good<br />

HEX should be used (NTU=5). For the evaporator <strong>and</strong> absorber the NTU<br />

150

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