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Methodology for the Evaluation of Natural Ventilation in ... - Cham

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Where V is <strong>the</strong> outlet velocity, A o is <strong>the</strong> area <strong>of</strong> <strong>the</strong> outlet, A S is <strong>the</strong> total surface area <strong>of</strong> <strong>the</strong>model, U is <strong>the</strong> weighted average overall heat transfer coefficient <strong>of</strong> <strong>the</strong> model materials, and ΔTis <strong>the</strong> temperature difference between <strong>the</strong> outlet or exhaust temperature and <strong>the</strong> <strong>in</strong>let temperature.The heat <strong>in</strong>put, Q <strong>in</strong>put , equals <strong>the</strong> heat loss due to advection (ρVA o ΔT) plus <strong>the</strong> heat loss due toconduction through <strong>the</strong> envelope (UA S ΔT). The heat loss due to advection uses <strong>the</strong> velocity andproperties <strong>of</strong> air at ei<strong>the</strong>r <strong>the</strong> <strong>in</strong>let or <strong>the</strong> outlet measurement locations, and <strong>the</strong> temperaturedifference <strong>in</strong> both parts <strong>of</strong> <strong>the</strong> equation is <strong>the</strong> <strong>in</strong>let m<strong>in</strong>us <strong>the</strong> ambient temperature. For <strong>the</strong> sevenw<strong>in</strong>dows, three-stack case, <strong>the</strong> values needed <strong>for</strong> <strong>the</strong> calculation are provided <strong>in</strong> Table 28.Table 28. Data from <strong>the</strong> 7 W<strong>in</strong>dow, 3 Stack S<strong>in</strong>gle Heated Zone Model7 W<strong>in</strong>dows, 3 StacksLower W<strong>in</strong>dows Upper W<strong>in</strong>dowsV <strong>in</strong>let 0.6 m/s 0.75 m/sV outlet 0.7 m/s 0.8 m/sA <strong>in</strong>let 0.0168 m 2 0.0168 m 2A outlet 0.016875 m 2 0.016875 m 2T <strong>in</strong>let 13°C 13°CT outlet 36.3°C 36.9°CThe <strong>the</strong>oretical flow rate, Q, was calculated and compared to <strong>the</strong> measured velocities and airflowrates <strong>for</strong> <strong>the</strong> s<strong>in</strong>gle heated zone experiment. The <strong>the</strong>oretical flow rate was calculated us<strong>in</strong>g anequation <strong>for</strong> two resistances <strong>in</strong> series <strong>for</strong> a simple model: TgH 1 o TiQ cd A1(7.5)2 A1 1 A2where A 1 is <strong>the</strong> <strong>in</strong>let area, A 2 is <strong>the</strong> outlet area, and c d is <strong>the</strong> discharge coefficient, 0.6 <strong>for</strong> sharpedged orifices. The comparison <strong>of</strong> measured flow rates, Q, and <strong>the</strong>oretical flow rates, Theory Q,that do not account <strong>for</strong> <strong>the</strong> heat loss through <strong>the</strong> envelope, are presented <strong>in</strong> Table 29.Table 29. Air Velocities and Flow rates <strong>for</strong> Several Cases7 W<strong>in</strong>dows 5 W<strong>in</strong>dows 2 W<strong>in</strong>dows# <strong>of</strong> Stacks 3 2 1 3 2 1 3 2 1V <strong>in</strong>let (m/s) 0.6 0.7 0.9 0.4 0.5 0.8 0.4 0.5 0.6V outlet (m/s) 0.7 0.8 1 0.4 0.6 0.7 0.3 0.4 0.5Measured Q (m 3 /s) 0.0101 0.0118 0.0151 0.0068 0.0068 0.0039 0.0051 0.0045 0.0028Theory Q (m 3 /s) 0.0096 0.0079 0.0042 0.0066 0.0057 0.0037 0.0033 0.0030 0.0026For <strong>the</strong> 7 w<strong>in</strong>dow, 3 stack case, two-thirds <strong>of</strong> <strong>the</strong> heat loss was due to advection, while <strong>the</strong>rema<strong>in</strong><strong>in</strong>g one-third was due to heat conduction through <strong>the</strong> envelope <strong>of</strong> <strong>the</strong> model. As <strong>the</strong>number <strong>of</strong> open<strong>in</strong>gs decreased, <strong>the</strong> <strong>in</strong>terior temperature <strong>in</strong> <strong>the</strong> model <strong>in</strong>creased, and <strong>the</strong>percentage <strong>of</strong> heat loss through <strong>the</strong> envelope <strong>in</strong>creased.122

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