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An adiabatic mo<strong>de</strong>l for the flow around a<br />

multi-perforated plate<br />

S. Men<strong>de</strong>z ∗<br />

CERFACS, 31057 Toulouse, France.<br />

F. Nicoud †<br />

University Montpellier II, CC51, 34095 Montpellier, France<br />

An adiabatic mo<strong>de</strong>l to account for multi-perforated liners in combustion<br />

chamber flow <strong>simulation</strong>s is <strong>de</strong>scribed. It is separated into a suction mo<strong>de</strong>l<br />

and an injection mo<strong>de</strong>l to reproduce the average effect of effusion cooling on<br />

both si<strong>de</strong>s of the plate. This mo<strong>de</strong>l has been specifically <strong>de</strong>signed to be used<br />

in industrial full-scale computations of gas turbine combustion chambers,<br />

where effusion cooling is commonly used for cooling the liners. Notably, it<br />

does not impose any minimal resolution at the wall and can be used with<br />

a coarse grid, the real perforated plate being replaced by a homogeneous<br />

boundary condition on which the mo<strong>de</strong>l is applied. From the analysis of former<br />

wall-resolved Large-Eddy Simulations (LES), two versions of the mo<strong>de</strong>l<br />

are <strong>de</strong>rived with simple assumptions: one conserves the spatially-averaged<br />

velocity at the wall and the other conserves the wall fluxes. Two series of<br />

validations are proposed: a priori tests, where the mo<strong>de</strong>l is compared with<br />

wall-resolved LES data and a posteriori tests, where an experimental test<br />

rig is computed replacing the perforated plate of the experiment by the two<br />

mo<strong>de</strong>ls proposed in the paper. The mo<strong>de</strong>l conserving spatially-averaged velocity<br />

at the wall imposes low velocity in the near-wall region, providing<br />

an unrealistic flow structure. On the other hand, the mo<strong>de</strong>l conserving<br />

the wall fluxes allows reproduction of the global structure of the flow and<br />

comparisons with experimental profiles agree reasonably well.<br />

∗ PhD Stu<strong>de</strong>nt<br />

† Professor. E-mail: nicoud@math.univ-montp2.fr<br />

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