The present analytical, numerical, and experimental investigations are performed to study the flow field in acoustically simulated solid rocket motor (SRM) chamber geometry. The computational solution is carried out for a high Reynolds number and low Mach number internal flows driven by sidewall mass addition in a long chamber with end-wall disturbances. This kind of flow (transient, weakly viscous, and contains vorticity) have several features in common with a turbulent flow field. The numerical study is performed by solving the unsteady Reynolds-averaged Navier–Stokes equations along with the energy equation using the control volume approach based on a staggered grid system. The v2-f turbulence model has been implemented in the current study. A comparison of the SIMPLE and PISO algorithms showed that both algorithms provide identical results, and the computational time using the PISO algorithm is higher by about 6% than the corresponding value of the SIMPLE algorithm. A fair agreement has been obtained between the numerical, analytical, and experimental results. Moreover, the results showed that the complex turbulent internal flow patterns are induced inside the chamber due to the strong interaction of the sidewall injection with the traveling acoustic waves. Such a complex internal structure is shown to be dependent on the piston frequency and sidewall mass flux. The current study, for the first time, emphasizes the acoustic-fluid dynamics interaction mechanism and the accompanying unsteady rotational fields along with the effect of the generated turbulence on the unsteady vorticity and its impact on the real burning rate.

中文翻译：

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具有侧壁质量注入和端壁扰动的固体火箭发动机舱模型中的湍流特性

目前的分析、数值和实验研究用于研究声学模拟固体火箭发动机 (SRM) 室几何结构中的流场。计算解决方案是针对在具有端壁扰动的长腔室中由侧壁质量增加驱动的高雷诺数和低马赫数内部流动进行的。这种流动（瞬态的、弱粘性的、包含涡度的）与湍流流场有几个共同的特征。数值研究是通过使用基于交错网格系统的控制体积方法求解非定常雷诺平均 Navier-Stokes 方程以及能量方程来进行的。v2-f 湍流模型已在当前研究中实施。SIMPLE 和 PISO 算法的比较表明，这两种算法提供了相同的结果，使用 PISO 算法的计算时间比 SIMPLE 算法的相应值高约 6%。在数值、分析和实验结果之间取得了公平的一致性。此外，结果表明，由于侧壁注入与行进声波的强烈相互作用，在腔室内产生了复杂的湍流内部流动模式。这种复杂的内部结构被证明取决于活塞频率和侧壁质量通量。目前的研究首次强调了声流体动力学相互作用机制和伴随的非定常旋转场，以及产生的湍流对非定常涡度的影响及其对实际燃烧速率的影响。