21.04.2014 Views

these simulation numerique et modelisation de l'ecoulement autour ...

these simulation numerique et modelisation de l'ecoulement autour ...

these simulation numerique et modelisation de l'ecoulement autour ...

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

Figure 2. Principle of the large-scale isothermal LARA experiment. 18<br />

si<strong>de</strong>, with a primary flow of ‘hot gases’; the second one, <strong>de</strong>noted by ‘2’, represents the casing,<br />

with a secondary flow of ‘cooling air’ (Fig. 2). The two channels (height h = 120mm and<br />

width l = 400mm) are separated by a plate perforated with holes of diam<strong>et</strong>er d = 5mm<br />

(0.5mm is the common value for gas turbines). Twelve rows of staggered holes are drilled into<br />

the plate that separates the two channels. A grid is placed at the outl<strong>et</strong> section of channel 2<br />

in or<strong>de</strong>r to generate a pressure drop across the plate. Because the pressure is higher in the<br />

‘casing si<strong>de</strong>’, a fraction of the air flowing in channel 2 is injected through the perforated plate.<br />

The spacing b<strong>et</strong>ween the holes corresponds to classical industrial applications: the distance<br />

b<strong>et</strong>ween two rows of holes is 5.84 diam<strong>et</strong>ers in the streamwise direction and 3.37 diam<strong>et</strong>ers in<br />

the spanwise direction. Due to the staggered disposition of the perforations, the hole-to-hole<br />

distances are 2 × 5.84 and 2 × 3.37 diam<strong>et</strong>ers in the streamwise and spanwise directions<br />

respectively. The thickness of the plate being e = 10mm and holes being angled at α = 30 ◦<br />

with the plate, the hole length-to-diam<strong>et</strong>er ratio is 4. Note that the perforations are only<br />

angled in the direction of the main flow, without any spanwise component. Measurements<br />

are performed at ambient temperature.<br />

The LARA database has been used twice: first, the LES presented in section III <strong>de</strong>als<br />

with the same geom<strong>et</strong>ry as the LARA test rig. Numerical and experimental results are<br />

compared in Men<strong>de</strong>z <strong>et</strong> al. 30 Then, in section IV, a mo<strong>de</strong>l for discr<strong>et</strong>e effusion through a<br />

plate is implemented in our CFD co<strong>de</strong>. The validation case is also the LARA experiment.<br />

One operating point has been consi<strong>de</strong>red: the pressure drop across the plate is ∆P = 42 Pa.<br />

The Reynolds number for the primary ‘hot’ flow (based on the duct centerline velocity U 1<br />

and the half height of the rectangular duct h/2) is Re 1 = 17750, while it is Re 2 = 8900 for the<br />

secondary ‘cold’ flow. The characteristics are given upstream of the perforated zone, where<br />

the flow is fully-<strong>de</strong>veloped. The Reynolds number in the hole, based on the momentum in<br />

the j<strong>et</strong> core <strong>et</strong> the hole exit and the hole diam<strong>et</strong>er is Re h = 2600. The ninth row has been<br />

7 of 26

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!