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

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Table 43. Calculated W<strong>in</strong>d and Buoyancy Pressure Differences and Result<strong>in</strong>g ArchimedesNumber Us<strong>in</strong>g Measured/Corrected Enter<strong>in</strong>g W<strong>in</strong>dow Velocities and Equation 7.8Pw Pb ArSite-1 16.1 27.4 1.7Site-2 4.6 26.6 5.8Site-3 5.3 7.4 1.4Site-4 5.7 12.4 2.4Site-5* --- --- ---*Site-5 w<strong>in</strong>dow velocity measurements were not recordedUs<strong>in</strong>g both <strong>of</strong> <strong>the</strong> above-described methods, <strong>the</strong> Archimedes number was calculated <strong>for</strong> each set<strong>of</strong> measurements. For <strong>the</strong> site visits with low w<strong>in</strong>d velocity, buoyancy <strong>for</strong>ce dom<strong>in</strong>ated <strong>the</strong> flow.At high w<strong>in</strong>d velocity, buoyancy and w<strong>in</strong>d <strong>for</strong>ces were comparable. Both methods providedsimilar results.7.4 Comparison to Full-Scale and Prototype Build<strong>in</strong>gIt was important to compare <strong>the</strong> dimensionless parameters identified <strong>in</strong> Chapter 5 <strong>for</strong> <strong>the</strong>reduced-scale model and <strong>the</strong> prototype build<strong>in</strong>g. The predicted full-scale build<strong>in</strong>g temperaturedistributions have been presented <strong>in</strong> <strong>the</strong> previous sections, and now <strong>the</strong> comparison <strong>of</strong> <strong>the</strong>Reynolds numbers, <strong>the</strong> Grash<strong>of</strong> numbers and <strong>the</strong> Archimedes numbers are provided to ensurethat <strong>the</strong> magnitude <strong>of</strong> <strong>the</strong>se parameters is similar <strong>for</strong> <strong>the</strong> two scales. The Grash<strong>of</strong> number ispresented <strong>for</strong> <strong>the</strong> buoyancy driven case and <strong>the</strong> Archimedes number <strong>for</strong> <strong>the</strong> w<strong>in</strong>d-driven case.For <strong>the</strong> buoyancy driven ventilation case, <strong>the</strong> Reynolds numbers were calculated us<strong>in</strong>g <strong>the</strong>hydraulic diameter <strong>of</strong> a heated zone, ra<strong>the</strong>r than <strong>the</strong> <strong>in</strong>let w<strong>in</strong>dow, as it was <strong>the</strong> flow <strong>in</strong> <strong>the</strong>build<strong>in</strong>g space that was <strong>of</strong> concern. The measured air velocity at <strong>the</strong> w<strong>in</strong>dow was used <strong>for</strong> <strong>the</strong>w<strong>in</strong>d driven case.Table 44. Key Dimensionless Parameters and Variables: Buoyancy-Driven CasePrototype Build<strong>in</strong>g Reduced-Scale Air-ModelScale 1 12g 9.8 9.8β 0.0034 0.0033ΔT 8 30H 15 1.2A CS 6.61 0.522Pr 0.7 0.7Re 8.9x10 5 3.5x10 4Gr 4.1x10 12 6.6x10 9Although <strong>the</strong> Reynolds numbers <strong>for</strong> <strong>the</strong> prototype and reduced-scale model <strong>in</strong> <strong>the</strong> buoyancydrivencase, Table 44, were not equal, <strong>the</strong>y were well above <strong>the</strong> critical Reynolds numberrequired <strong>for</strong> turbulent flow. They were calculated us<strong>in</strong>g <strong>the</strong> cross sectional area (A CS ) <strong>of</strong> <strong>the</strong>heated room.Us<strong>in</strong>g data from <strong>the</strong> reduced-scale air model under a variety <strong>of</strong> w<strong>in</strong>d conditions, <strong>the</strong> Archimedesnumber was calculated. The variables used <strong>in</strong> <strong>the</strong> calculations are presented <strong>in</strong> Table 45, where152

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