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

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evaporation rate on the hot water load with reference to air as a very poor<br />

conductive medium.<br />

As it can be seen in these figures in comparison with air, it is clear that the<br />

evaporation rate increases at higher solid thermal conductivity. Nevertheless, the<br />

proportionality <strong>of</strong> evaporation rate is neither uniform with k s nor linear with the water<br />

mass flow rate. It is also important to point out that maximum evaporation rate<br />

occurs when k s is around 1.14 W.m -1 .K -1 as for the case <strong>of</strong> Pyrex glass <strong>and</strong> fired clay<br />

brick as listed in table (7.2) . It seems that around this value <strong>of</strong> k s , the best balance<br />

between sensible <strong>and</strong> latent heat components at different interfaces can be<br />

obtained. This means that the evaporation rate is enhanced at the expense <strong>of</strong> the<br />

sensible heat component at the liquid-gas interface due to increasing the sensible<br />

heat transfer at the solid-gas interface with better stratification in the bed. As the<br />

thermal conductivity is further increased, this optimum balance is broken down <strong>and</strong><br />

evaporation rate is decreased.<br />

On comparing the productivities <strong>of</strong> the Pyrex glass <strong>and</strong> fired clay bricks, it is<br />

recommended that, using smaller size (40-50 mm diameter) <strong>of</strong> spherical fired clay<br />

bricks <strong>and</strong> would be the ideal c<strong>and</strong>idate for the present application due to its lower<br />

cost, rather than the Pyrex glass which is quite expensive, heavy, <strong>and</strong> has high<br />

vulnerability for breaking.<br />

In figure (7.11), the highly conductive media such as aluminium <strong>and</strong> iron show a<br />

declining trend for the percentage improvement in the evaporation rate over the air,<br />

as an approximately non-conductive medium, when increasing the water load. The<br />

lower conductive media show a peak at 500 l/h, <strong>and</strong> then follow the same declining<br />

trend as the water load is further increased. Although increasing the water load<br />

increase the productivity due to increasing the wetted area <strong>and</strong> heat <strong>and</strong> mass<br />

transfer coefficients at water-air interface, the area <strong>of</strong> dry patches decrease with the<br />

same magnitude <strong>of</strong> increasing the wetted area which decreases the heat transfer at<br />

the solid-air interface <strong>and</strong> hence the percentage improvement over the air spheres<br />

decreases as well. The phenomenological process known as the MEHH, which is an<br />

important topic addressed in the current study, st<strong>and</strong>s behind this interpretation.<br />

Table 7.2: Effect <strong>of</strong> different packing media on the evaporation rate (Mhw=1000 [l/h])<br />

Glass, Brick<br />

<strong>PCM</strong> (HS<br />

Medium Properties<br />

Iron Aluminum Water<br />

Air<br />

Pyrex (fired clay)<br />

58)<br />

k (W/m.K) 1.14 1.13 70 229 0.64 0.6 0.027<br />

ρ (kg/m 3 ) 2240 2310 7880 2701.1 1000 1280 1.084<br />

c (J/kg) 840 922 511 938.3 4180 2.51E+05 1015<br />

M d [l/h] 62.52 62.38 60.87 59.92 60.73 59.82 56.89<br />

M d Increase (%)<br />

relative to air<br />

9.9% 9.65% 6.99% 5.32% 6.74% 5.14% 0.00%<br />

152

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