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3.14. Cooling Tower - TOWER<br />

The air could ideally come out at a temperature equal to the water inlet<br />

temperature, but due to resistances, heat transports, mixing etc. the real<br />

outlet temperature <strong>of</strong> the air is expected to be somewhat lower. This is<br />

modeled by means <strong>of</strong> the approach temperature difference ∆T minair,o :<br />

∆T minair,o = T w,i − T air,o (3.108)<br />

3. Since some <strong>of</strong> the water in the water circuit has been lost to the air<br />

during the evaporation process, some new water is added (ṁ add ).<br />

A mass balance is made for each <strong>of</strong> the steps for both the water flow<br />

<strong>and</strong> air flow. The overall mass balances becomes:<br />

ṁ w,o = ṁ w,i (3.109)<br />

ṁ air,o = ṁ air,i + ṁ w,add (3.110)<br />

An energy balance is also added for each step:<br />

Ḣ air,i +Ẇ f an = Ḣ air,mp pressurizing (3.111)<br />

Ḣ air,mp + Ḣ w,i = Ḣ air,o + Ḣ w,mp evaporation (3.112)<br />

Ḣ w,mp + Ḣ w,add = Ḣ w,o water side refill (3.113)<br />

The variable (W Q r atio ) expresses how much power the fan consumes<br />

relative to how big a cooling service the tower delivers to the water<br />

circuit.<br />

W Q r atio =<br />

Ẇ f an<br />

˙Q cool<br />

(3.114)<br />

˙Q cool = Ḣ w,i − Ḣ w,o (3.115)<br />

75

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