Balancing of a Water and Air System (PDF
Balancing of a Water and Air System (PDF
Balancing of a Water and Air System (PDF
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BTUH = GPM X 60 X 8.337 X ∆T <strong>of</strong> the water<br />
Tons = GPM X ∆T <strong>of</strong> the water / 30<br />
GPM = BTUH / 60 X 8.337 X ∆T <strong>of</strong> the water<br />
GPM = (Tons X 30) / ∆T <strong>of</strong> the water<br />
GPM = (<strong>Air</strong> Density X CFM X ∆ Enthalpy h1-h2) / (8.337 X <strong>Water</strong> ∆T) .<br />
CFM = (GPM X 8.337 X <strong>Water</strong> ∆T) / (<strong>Air</strong> Density X ∆ Enthalpy h1-h2)<br />
Example 12: Find the tons <strong>of</strong> a cooling tower with an entering water temperature <strong>of</strong> 90º<br />
<strong>and</strong> a leaving water temperature <strong>of</strong> 80º <strong>and</strong> a 145 gpm.<br />
Solution 1<br />
• GPM x 60 X 8.337 X ∆T <strong>of</strong> the water = BTUH<br />
• BTUH / 15,000 = Tons<br />
• 145 gpm X 60 X 8.337 X 10º ∆T = 725,319 btuh<br />
• 725,319 btuh / 15,000 = 48.35 tons<br />
Solution 2<br />
• GPM X ∆T <strong>of</strong> the water / 30 = tons<br />
• (145 gpm X 10º ∆T) / 30 = 48.33 tons<br />
Example 13: Find the GPM <strong>of</strong> a cooling tower with an entering water temperature <strong>of</strong> 90º<br />
<strong>and</strong> a leaving water temperature <strong>of</strong> 80º <strong>and</strong> a entering air temperature <strong>of</strong> 95º dry bulb <strong>and</strong><br />
67º wet bulb, leaving air temperature <strong>of</strong> 92º dry bulb <strong>and</strong> 84º wet bulb <strong>and</strong> a 10,167 CFM.<br />
Solution 1<br />
• GPM = (<strong>Air</strong> Density X CFM X ∆ Enthalpy h1-h2) / (8.337 X <strong>Water</strong> ∆T)<br />
• <strong>Air</strong> density <strong>of</strong> 92º dry bulb <strong>and</strong> 84º wet bulb is 0.071<br />
• Enthalpy <strong>of</strong> 92º dry bulb <strong>and</strong> 84º wet bulb is 48.13<br />
• Enthalpy <strong>of</strong> 95º dry bulb <strong>and</strong> 67º wet bulb is 31.38<br />
• <strong>Water</strong> ∆T is 10º<br />
• (0.071 X 10,167 X 16.75) / (8.337 X 10) = 12,091.10 / 83.37 = 145.02 gpm<br />
Analysis <strong>of</strong> the Test Data<br />
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