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Lecture Objectives: Finish cooling / heat pump example
Review Psychrometrics Swimming pool example
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Heat pump example A recreation center Heat Pump Ice Rink Swimming pool
Condenser Evaporator 85-89oF 30oF Consumes heat energy Rejects heat energy Electric power for a compressor
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Ice Rinks Energy flow
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Challenges for this problem
Circulating fluid Adjustment of evaporation and condensation temperatures Adjustment of capacity for design condition Control of capacity for non design conditions Need to study load profiles Design sophisticated control Provide backup system
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Psychrometrics (Swimming pool example)
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High humidity High humidity and low temperature
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Psychrometric Chart Need two quantities for a state point
Can get all other quantities from a state point Can do all calculations without a chart Often require iteration Many “digital” psychrometric charts available Can make your own Best source is ASHRAE fundamentals (Chapter 6) Or electronic version at:
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Connection between W and Pw (W humidity ratio – Pw water partial pressure)
PV = mRT (Ideal Gas Law ) P = Pw + Pa R = gas constant P = pressure V = volume T = absolute temperature W = humidity ratio Subscripts: w is water vapor, a is dry air
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Calculation of psychometric quantities
For an ideal gas, hda = ∫cpadT, hw = ∫cpwdT So, hda = cp,dat which assumes a reference state of 0 °F or 0 °C – Tables A4 Note different reference hw = cpwt + hg0 h = cp,dat + W(cpwt + hg0) Or you can use: h = cpt + W∙hg0, cp = cp,da + Wcpw cp = specific heat h = enthalpy T = absolute temperature t = temperature W = humidity ratio Subscripts: w is water vapor, a is dry air, g is saturated water vapor
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Adiabatic mixing Governing equation External heat
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Sensible heating
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Dehumidification by Cooling
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Real Dehumidification Process
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Transport of saturated air
tsurface < tdp Condensation Mold in a duct
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Humidification hw Specific enthalpy of water added to system
hg Specific enthalpy of saturated water vapor
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Summary Describe psychrometric quantities
Given any two psychrometric quantities, calculate any other quantity Use Tables A4 or psychrometric charts to look up psychrometric quantities Calculate psychrometric quantities at non-standard conditions
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Swimming pool energy and mass balance
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Evaporation Heat loss by evaporation: hm
Tpool Tair pool W s W ≈ hm Ws Tpool Wair pool Depends on the air speed and even more on the condition of the water surface (people splashing in the water) Further analysis can be conducted in the psychrometric chart
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Process in AHUs Example AHUs for swimming pools MENERGA ThermoCond 19
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Swimming pool heating
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Dehumidification using outside air in Winter and Summer
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More advance control MENERGA ThermoCond 29
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Dehumidification using outside air in winter
Condenser in the air stream Evaporator Compressor of the heat pump Condenser in the swimming pool
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Recirculation of air with dehumidification
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