Abstract In this study, we investigate centrifugal buoyancy-induced flow by conducting numerical experiments for Rayleigh numbers in the range of 10 5 to 10 8 . The primary focus of the study is to understand the fluid flow and heat transfer induced by centrifugal buoyancy in a rapidly rotating system with direct relevance to the internal air system of a gas-turbine engine. We solve the compressible Navier–Stokes equations in an inertial frame of reference. Flow visualization shows the formation of counter-rotating convection cells in the domain analogous to Rayleigh–Benard convection. The prediction of wall heat transfer shows good agreement with experimental data for low Rayleigh number but deviates for the high Rayleigh number cases. Further, the effect of compressibility or Mach number is studied by running additional simulations with varying flow Mach numbers at fixed Rayleigh and Rossby numbers. A strong dependence of flow structure and induced wall heat transfer rate on the flow Mach number is observed. The increase in flow Mach number causes density stratification, which suppresses the formation of convection rollers and reduces the wall heat transfer rate. Furthermore, a guideline is provided on how to reduce the computational cost for the high Rayleigh number cases.

中文翻译：

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封闭旋转腔内离心浮力诱导流动的压缩效应模拟

摘要 在这项研究中，我们通过对 10 5 到 10 8 范围内的瑞利数进行数值实验来研究离心浮力引起的流动。该研究的主要重点是了解与燃气涡轮发动机的内部空气系统直接相关的快速旋转系统中由离心浮力引起的流体流动和热传递。我们在惯性参考系中求解可压缩的 Navier-Stokes 方程。流动可视化显示了在类似于 Rayleigh-Benard 对流的域中反向旋转对流单元的形成。壁面传热的预测与低瑞利数的实验数据显示出良好的一致性，但在高瑞利数情况下有偏差。更多，可压缩性或马赫数的影响是通过在固定瑞利数和罗斯比数下使用不同的流动马赫数运行附加模拟来研究的。观察到流动结构和诱导壁传热速率对流动马赫数的强烈依赖性。流量马赫数的增加引起密度分层，抑制了对流辊的形成，降低了壁面传热率。此外，还提供了有关如何降低高瑞利数情况的计算成本的指南。从而抑制对流辊的形成，降低壁面传热率。此外，还提供了有关如何降低高瑞利数情况的计算成本的指南。从而抑制对流辊的形成，降低壁面传热率。此外，还提供了有关如何降低高瑞利数情况的计算成本的指南。