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On combustion instability in solid rocket motors

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Figure

Figure 3.1 Comparison between Fox’s solution (solid line) and the modal representation with 4, 8 and 16 modes respectively (dashed lines); the initial condition consists of anm =1 sound wave with ε =0.1
Figure 3.3 Nonlinear behavior for purelytangential modes with the same initialconditions as in Figure 3.1; the resultscorresponding to a 4 and 16 modetruncation are presented (no discernibledifference)
Figure 4.1 Comparison between the closed form analytic solution(dashed line) and numerical integration (solid line) for the case of 4purely tangential modes; the initial conditions are ηm=εmwhereε =0.025; the angleqis defined by ηiqm=ηm e−m
Figure 4.2 Time evolution of the first four tangential modes whenM k10.003biµ =and M k0.025b µm = −i  for all other modes; the initial disturbance values are the sameη14ε0.05→ ==
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