Acoustic damping effect of the gap of baffled injectors in combustion chamber
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摘要:
为了定量研究隔板喷嘴对燃烧室声学脉动的抑制作用，基于线性声学理论，在喷嘴间隙大于声学层流边界层厚度的一般情况下，推导了双喷嘴单间隙模型的声学损耗理论计算模型。采用声学有限元方法（FEM）计算1阶声学扰动的衰减速率，与理论推导的相对误差仅为0.81%，并进一步揭示了隔板喷嘴壁面边界层黏性损耗和热损耗对声学脉动的抑制作用机理。在全尺寸发动机燃烧室中，当隔板喷嘴间隙不小于壁面两侧边界层厚度时，验证了燃烧室1阶切向声学模态损耗系数的变化趋势与理论模型一致。能为隔板喷嘴的设计提供一定的指导准则。
Abstract:In order to study the effect of baffled injectors on the acoustic pulsation of combustor quantitatively, based on the linear acoustic theory, the theoretical calculation model of acoustic loss of model with double injectors and single gap was deduced when the injector gap was larger than the acoustic laminar boundary layer thickness. Based on acoustic finite element method (FEM), the relative error between damping rate of acoustic perturbation and theoretical calculation was only 0.81%, and the mechanism of suppressing the acoustic mode by the viscous loss and heat loss of the boundary layer on the walls of the injectors was further revealed. In a full-scale engine combustor, the variation trend of the first-order tangential acoustic modal loss coefficient of the combustor was verified to be consistent with the theoretical model when the gap between the baffled injectors was not less than the thickness of the boundary layer on both sides of the wall. This can provide some guidelines for the design of chamber with baffled injectors.
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图 4 相邻喷嘴几何构型与计算域
Figure 4. Geometry schematic of adjacent injector and calculation compartment
图 8 边界层损耗导致的压力衰减
Figure 8. Pressure dissipation in terms of boundary layer dissipation
图 11 不同频率下的声速扰动分布
Figure 11. Distribution of acoustic velocity perturbation in terms of frequencies
图 16 不考虑热黏性损耗时的声压变化
Figure 16. Acoustic pressure responses with respect to no thermo-viscous damp
表 1 气体性质参数和几何尺寸
Table 1. Properties of gas and geometry
参数 数值 参数 数值 T/K 2099 $c/ （{ {\rm{m} } } /{ {\rm{s} } }）$ 1884.5 $\rho / （{ {\rm{kg} } } /{ {\rm{m} }^3}）$ 0.358 $ \gamma $ 1.27 $\mu /10^{-5} （{ {\rm{kg} } } / （{ {\rm{m} } } /{ {\rm{s} } }） ）$ $4.833$ $\nu /10^{-4} （{ {{\rm{m}}} ^2}/{\rm{s}}）$ $1.35$ ${C_p}/ （{ {\rm{J} } } / （{ {\rm{kg} } } /{ {\rm{K} } }） ）$ 6257.6 Pr 0.79 $R/{\rm{m} }$ 0.01 $\delta /{\rm{m}}$ 0.0008 
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