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The computation of turbulent natural convection flows - Turbulence ...

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283<br />

<strong>The</strong> reverse feature is observed at the top end, where the core fluid is at a<br />

temperature closer to that <strong>of</strong> the hot side. Figure 7.73 shows large differences<br />

between the numerical and experimental data. <strong>The</strong> numerical simulation is<br />

mostly similar to the two-dimensional simulation in which within the central<br />

longitudinal plane there is a circulation cell with fluid moving upwards along<br />

the hot, upper side and then returning downwards along the cold, lower side.<br />

In contrast, the experimental data show that within this plane the predomi-<br />

nant motion is in the downward direction, which suggests that within other<br />

longitudinal planes, closer to the side walls, there must be a compensating<br />

downward motion and thus strongly three-dimensional flow conditions. <strong>The</strong><br />

experimental data suggests that probably because at this angle <strong>of</strong> inclination<br />

the buoyancy force is weak, even with a spanwise aspect ratio as high as 6.8,<br />

the presence <strong>of</strong> the end walls causes the development <strong>of</strong> a three-dimensional<br />

flow, with downward flow in the middle and upward flow along the sides.<br />

This is a feature that the k-ε-AWF model, is unable to reproduce. <strong>The</strong> rea-<br />

son may be that EVM tends to produce too high values for <strong>turbulent</strong> viscosity<br />

which prevent the flow breaks down to smaller cells. Corresponding compar-<br />

isons for the velocity fluctuations in the longitudinal and normal directions<br />

are presented in Figures 7.75 and 7.76. Comparisons show that while near the<br />

end walls the velocity fluctuations are severely under-estimated, over the rest<br />

<strong>of</strong> the cavity the k-ε-AWF returns the same fluctuation levels as those found<br />

in the measurements, though the distribution is different. Nevertheless, the<br />

large deviation between the predicted and measured flow fields, makes these<br />

comparisons less meaningful.<br />

Figures 7.77-7.80 present comparisons between measured and predicted<br />

temperature pr<strong>of</strong>iles in the <strong>of</strong>f-centre longitudinal planes, Z=0.25, 0.655, 0.75<br />

and 0.875. <strong>The</strong> comparisons show that, as is also the case for the central longi-<br />

tudinal plane, Z=0.5, the core temperature is close to that <strong>of</strong> the cold side near<br />

the bottom end wall and close to that <strong>of</strong> the hot side near the top end wall and<br />

also that the predictions are in reasonable agreement with the measurements.<br />

<strong>The</strong> fact that measured temperature field, in agreement with the predicted one<br />

is mainly two-dimensional, suggests that the three-dimensional flow features<br />

exert a weak influence on the temperature field. Figures 7.81 and 7.82 present

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