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

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the air pressure drop ∆P per unit bed height through a porous bed with relative<br />

uniform porosity:<br />

2<br />

2<br />

g<br />

(1 <br />

) vg<br />

g<br />

(1 <br />

) vg<br />

P 150 1.75<br />

(4.10)<br />

2 3<br />

3<br />

d <br />

d <br />

p<br />

p<br />

Where d P is the diameter <strong>of</strong> particles, <strong>and</strong> v g is the superficial gas velocity.<br />

4.2.3 Two phase flow in dual phase change regenerators<br />

Modeling two phase flow in dual phase change regenerators is rarely presented in<br />

the literature for the condenser [17], but not a single analysis has been reported for<br />

the evaporator up to the best knowledge <strong>of</strong> the author. The underlying heat <strong>and</strong><br />

mass transfer processes are complex <strong>and</strong> require the solution <strong>of</strong> highly nonlinear<br />

coupled partial differential equations for space <strong>and</strong> time varying flow characteristics<br />

<strong>and</strong> tracking the moving boundaries. Derivation <strong>of</strong> the governing equations to<br />

describe steady state <strong>and</strong> dynamic characteristics <strong>of</strong> multi-phase multi-component<br />

dual phase change regenerators <strong>of</strong> the evaporator <strong>and</strong> condenser is expected to be<br />

more complicated <strong>and</strong> should be clearly formulated on rational basis <strong>and</strong> supported<br />

by experimental validation.<br />

4.2.2.1 Flow in the evaporator<br />

Figure (4.4) shows a schematic <strong>of</strong> the evaporator chamber with its flow pattern <strong>and</strong><br />

operation features. Warm salt water from the external <strong>PCM</strong> storage tank is gently<br />

sprayed in tiny droplets at the top <strong>of</strong> the evaporation tower <strong>and</strong> trickles downward by<br />

gravity where heat <strong>and</strong> mass transfer take place between sprayed droplets <strong>and</strong> a<br />

countercurrent dehumidified air leaving bottom <strong>of</strong> the condenser chamber.<br />

Countercurrent air stream is heated <strong>and</strong> humidified in contact with the hot water film<br />

while hot water is cooled down <strong>and</strong> partly evaporated. On the other side, another<br />

binary heat transfer between solid <strong>PCM</strong> beads <strong>and</strong> both liquid water film <strong>and</strong> humid<br />

air (gas mixture) take place simultaneously. This is due to non-fully wetted surface<br />

area <strong>of</strong> packing elements.<br />

The binary interactions between solid phase <strong>and</strong> both fluid phases are dependent on<br />

the interfacial areas <strong>and</strong> flow characteristics. The evaporated water leaves behind<br />

salts <strong>and</strong> other contaminations resulting in concentrated brine with lower<br />

temperature at the bottom <strong>of</strong> the evaporator. A mutual interdependency between<br />

heat <strong>and</strong> mass transfer <strong>and</strong> flow fields couples between hydrodynamics <strong>and</strong><br />

thermodynamics.<br />

71

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