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al. 30 The present paper d<strong>et</strong>ails the m<strong>et</strong>hodology <strong>de</strong>veloped for post-processing the reference<br />

act geom<strong>et</strong>ry for film cooling studies. However, generating this type of data experimentally<br />

is very challenging: the operating conditions in the combustion chambers (high temperature<br />

and high pressure) are difficult to reproduce in test rigs and experimental techniques<br />

are rarely adapted to such conditions. Moreover, the characteristic size of the micro-j<strong>et</strong>s<br />

being sub-millim<strong>et</strong>ric, the main flow features are out of reach of current measurements techniques.<br />

This explains the lack of d<strong>et</strong>ailed measurements in realistic operating conditions:<br />

accurate information about the velocity field in FCFC configurations is available only on<br />

large-scale isothermal plates. 16–18 When experiments are performed on plates at real scale,<br />

only wall param<strong>et</strong>ers, 19–22 like the heat transfer coefficient or the adiabatic cooling efficiency,<br />

or integrated data like the discharge coefficient 23,24 are provi<strong>de</strong>d and very often, only small<br />

temperature differences b<strong>et</strong>ween the hot and the cold streams are investigated.<br />

An alternative is to use direct <strong>simulation</strong>s to generate the requested data. However<br />

requirements in computational power are huge due to the configuration: in FCFC, the perforated<br />

plate contains hundreds or thousands of holes and resolving the flow in each of <strong>these</strong><br />

holes would be very expensive. Hence, only Reynolds-Averaged Navier–Stokes (RANS) computations<br />

were performed with a large number of cooling rows. 25,26 However, using RANS<br />

results as reference data for mo<strong>de</strong>ling is questionable, as they already result from the mo<strong>de</strong>ling<br />

of the whole turbulent part of the flow. On the other hand, owing to the mo<strong>de</strong>rate<br />

Reynolds number in the perforations, Large-Eddy Simulations (LES) 6,27,28 and Direct Numerical<br />

Simulations (DNS) 29 can be used, but until now they only <strong>de</strong>al with a very small<br />

number of holes, typical of turbine bla<strong>de</strong>s film cooling. As existing small-scale computations<br />

do not directly <strong>de</strong>al with FCFC configurations, it has been <strong>de</strong>ci<strong>de</strong>d to perform specific smallscale<br />

wall-resolved LES relevant to FCFC configurations. The un<strong>de</strong>rlying m<strong>et</strong>hodology and<br />

the corresponding results obtained in an isothermal configuration are <strong>de</strong>scribed in Men<strong>de</strong>z <strong>et</strong><br />

isothermal data obtained by LES and proposes a homogeneous mo<strong>de</strong>l that accounts for<br />

the major flow characteristics near a perforated wall. In this mo<strong>de</strong>l, the injection and the<br />

aspiration si<strong>de</strong>s are coupled: a law for the discharge coefficient in the holes relates the pressure<br />

drop to the mass flow rate through the plate. The inputs are the pressure drop across the<br />

plate and the geom<strong>et</strong>rical characteristics (porosity, aperture angle). A priori testing is first<br />

performed, the fluxes provi<strong>de</strong>d by this homogeneous mo<strong>de</strong>l being compared to the reference<br />

<strong>simulation</strong>s. 30 As an a posteriori validation, the mo<strong>de</strong>l is implemented in a LES co<strong>de</strong> in<br />

or<strong>de</strong>r to reproduce an experimental s<strong>et</strong>-up where two channels are separated by a perforated<br />

plate. Numerical results are compared with experimental measurements performed in an<br />

isothermal large-scale configuration. 18<br />

Section II is <strong>de</strong>dicated to the <strong>de</strong>scription of the co<strong>de</strong> used to perform the Large-Eddy<br />

5 of 26

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