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Experimental and Numerical Analysis of a PCM-Supported ...

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for latent heat storage would be obtained when the melting point or range <strong>of</strong> a <strong>PCM</strong><br />

lies outside the operation range. Figure (8.11) shows a histogram <strong>of</strong> the hourly<br />

variation <strong>of</strong> outlet hot water temperature from the solar collector, which represents<br />

the inlet temperature to the <strong>PCM</strong> storage tank.<br />

Figure 8.11: Histogram <strong>of</strong> hourly variation <strong>of</strong> inlet water temperature to the<br />

<strong>PCM</strong>-storage over one year for Al-Arish city with 3m 3 thermal storage<br />

It is clear from the figure how wide the fluctuation margin in the collector outlet water<br />

temperature. The useful heat output from the collector under the local influencing<br />

meteorological quantities <strong>and</strong> the specified load structure is indeed not favourable <strong>of</strong><br />

a latent heat store. The Stefan number (Ste) materializes these facts; it is the ratio <strong>of</strong><br />

the <strong>PCM</strong> sensible heat to latent heat per unit mass:<br />

c<br />

Ste <br />

pcm( Ti<br />

h<br />

Ti<br />

, c<br />

,<br />

)<br />

(8.1)<br />

Hm<br />

Where T i,h , <strong>and</strong> T i,c represent the inlet fluid temperature during the heating (energy<br />

storing) period, <strong>and</strong> the inlet fluid temperature during the cooling (energy releasing)<br />

period respectively. The symbols c pcm is the heat capacity <strong>of</strong> the <strong>PCM</strong>, <strong>and</strong> Hm<br />

is<br />

the latent heat <strong>of</strong> phase change.<br />

As Stefan number tends to infinity (Ste→∞), sensible heat storage dominates, while<br />

when the Stefan number approaches zero (Ste→ 0), latent heat storage dominates.<br />

For optimal PCR operation, the latter limiting case is preferred. These effects are<br />

clearly observed <strong>and</strong> elaborately discussed by both Erk <strong>and</strong> Dudukovic [83] <strong>and</strong><br />

Modarresi <strong>and</strong> Sadrameli [84]. The physical properties <strong>of</strong> useful phase change<br />

173

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