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Computational Mechanics Research and Support for Aerodynamics ...

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Figure 3.4: Sampling domain [3]<br />

A conversion from parcels to mass was per<strong>for</strong>med <strong>for</strong> the two cases, <strong>and</strong> the results are shown in Table<br />

3.1.<br />

Table 3.1: Water content in sampling domain generated by a GCM traveling at 29 m/s (65 mph) [1]<br />

Without Trailer-Mounted Flaps With Trailer-Mounted Flaps<br />

2.15 parcels/m 3 0.0609 parcels/ft 3 3.4 parcels/m 3 0.0963 parcels/ft 3<br />

48.375 g/m 3 0.00295 lb/ft 3 76.5 g/m 3 0.00467 lb/ft 3<br />

The density of water is 1,000 kg/m 3 , <strong>and</strong> <strong>for</strong> the case without flaps the mass per cubic meter is 48.375 g;<br />

so the volume of the water is 48.375 * 10-6 m 3 . For the case with flaps case, the volume of water is<br />

76.5 * 10-6 m 3 .<br />

For an initial analysis, it is assumed that the parcel distribution is uni<strong>for</strong>m throughout the sampling<br />

domain. The density of air at sea level <strong>and</strong> 15 degrees Celsius is 1225.21 g/m 3 . So <strong>for</strong> the case without–<br />

flaps, the combined mass of the air <strong>and</strong> water in a cubic meter is 1273.59 grams, <strong>and</strong> <strong>for</strong> the case withflaps,<br />

it is 1301.71 grams. Table 3.2 shows the resulting densities that should be used <strong>for</strong> the cloud<br />

material in the MM-ALE simulations. The ratio of the density of the cloud to the density of air, which is<br />

seen to be from 4% to 6% larger than that of the air alone, appears to be reasonable.<br />

Table 3.2: Cloud material densities generated by a GCM traveling at 29 m/s (65 mph)<br />

Trailer-Mounted-Flaps Without With<br />

Mass of air plus water (g) 1273.59 1301.71<br />

Density (g/m 3 ) 1273.59 1301.71<br />

Density ratio 1.039 1.062<br />

TRACC/TFHRC Y1Q3 Page 43

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