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THESE de DOCTORAT - cerfacs

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5.2 Experimental configuration 73<br />

fluctuating quantities such as the velocity or the temperature field. On the contrary, acoustic<br />

pressure fluctuations, which are much smaller in amplitu<strong>de</strong>, are much more difficult to evaluate<br />

and their correct estimation is linked to the or<strong>de</strong>r of the numerical scheme and to the <strong>de</strong>gree<br />

of resolution of the computational grid. On the other hand, hybrid approaches have not been<br />

ever consi<strong>de</strong>red to compute combustion noise in confined domains. As a consequence, it is<br />

not known yet how appropriate is their use for combustion noise estimation in combustion<br />

chambers. There are several conceptual differences between open and confined flames that<br />

should be consi<strong>de</strong>red regarding this matter. An important one is that in a confined flame there<br />

is not such a thing of ’far field pressure’. This means that fluctuations of pressure field are not<br />

only composed of acoustics. Turbulence, and therefore hydrodynamic fluctuations, might be<br />

of consi<strong>de</strong>rable importance and, as a consequence, ‘contaminate’ the acoustic field. Another<br />

main concern is the boundary conditions: an open flame is computed consi<strong>de</strong>ring acoustic<br />

waves that propagate outwards the domain and for this purpose the boundaries of the computational<br />

domain are treated to be non-reflecting; in a confined flame, acoustic waves produced<br />

travel both inwards and outwards. Boundary conditions mo<strong>de</strong>ling is therefore expected to be<br />

of crucial importance because their acoustic reflection is linked directly to the acoustic field<br />

produced. These physical concepts should be taken into account when applying hybrid approaches<br />

for confined flames.<br />

5.2 Experimental configuration<br />

Both direct and indirect computations of combustion noise are performed and applied to swirled<br />

premixed combustor (EC2 combustor) carried out in the EM2C laboratory (École Centrale<br />

Paris) [43, 44]. The EC2 combustor consists of two geometrically i<strong>de</strong>ntical stages for air-fuel<br />

injection, a premixer and a combustion chamber. Air is fed into each stage through a circular<br />

manifold in which a swirler is inserted. This swirler has a hollow cylin<strong>de</strong>r with large lateral<br />

openings (see Fig. 5.1a), through which air is injected in the inner premixer channel. Insi<strong>de</strong><br />

these rectangular openings, four injectors (1 mm diameter) <strong>de</strong>liver gaseous propane perpendicularly<br />

to the air flow. This cross-flow configuration enhances fuel-air mixing. The tangential<br />

injections create a strong swirl motion in the D = 30 mm diameter inner channel, which in<br />

turn generates a central recirculation zone at the plenum that stabilizes the flame. The flame is<br />

controlled by the fuel-air ratio imposed in each of the two stages and is consi<strong>de</strong>red premixed<br />

and compact. Note that the LES could consi<strong>de</strong>r mo<strong>de</strong>ling the lines at each stage of both fuel<br />

and air as shown in Fig. 5.1(a). Nevertheless, important computational costs would arise due<br />

to the small grid cells that would be necessary to mesh the fuel lines. Since an homogeneous<br />

air-fuel mixing is consi<strong>de</strong>red to be achieved before arriving to the reacting zone, the fact of<br />

meshing fuel lines far upstream from the flame might be totally unnecessary. Therefore the<br />

present LES will only consi<strong>de</strong>r the air lines (simplified mo<strong>de</strong>l shown in Fig. 5.1b) in which a<br />

premixed mixture with equivalent ratios φ 1 and φ 2 is injected for each stage.<br />

This configuration features strong combustion instabilities <strong>de</strong>pending on the fuel staging ratio

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