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首页> 外文期刊>Journal of applied mathematics and mechanics >The effect of surface curvature on the boundary conditions in the viscous shock layer model for hypersonic rarefied gas flow
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The effect of surface curvature on the boundary conditions in the viscous shock layer model for hypersonic rarefied gas flow

机译：表面曲率对高超声速稀薄气流粘性激波层模型边界条件的影响

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摘要

The supersonic and hypersonic flow of a rarefied gas over blunt bodies is investigated within the framework of asymptotically correct models of a viscous shock layer (VSL) and a thin viscous shock layer (TVSL). In the case of the VSL model, terms associated with its curvature, which are important at low Reynolds numbers, are taken into account in the shock boundary conditions. Conditions are proposed for the slip velocity and the temperature jump on the body surface taking account of its curvature. A numerical simulation of hypersonic flow problems is performed within the sramerort of the continuum VSL and TVSL models over a wide range of Reynolds numbers using an implicit iterative-marching method having a high accuracy of approximation. It is shown, by comparing of the numerical and asymptotic solutions with the kinetic and free molecules solutions and also with the solutions obtained by the direct simulation monte Carlo method, that taking into account the terms in the VSL model associated with the shock curvatures and the streamlinked surface considerably affects the prediction of the heat transfer and skin friction at low Reynolds numbers and extends the domain of applicability of this model. The importance of the asymptotic correctness of the continuum models used in the transient flow regime is demonstrated.
机译：在粘性冲击层（VSL）和薄粘性冲击层（TVSL）的渐近正确模型的框架内，研究了稀薄气体在钝体上的超音速和高超音速流动。对于VSL模型，在冲击边界条件下考虑了与曲率相关的项，这些项在低雷诺数下很重要。考虑到其曲率，提出了滑移速度和体表温度跳跃的条件。使用具有高精度近似值的隐式迭代行进方法，在广泛的雷诺数范围内的连续VSL和TVSL模型的sramerort中对高超声速流动问题进行了数值模拟。通过将数值解和渐近解与动力学和自由分子解以及通过直接模拟蒙特卡罗方法获得的解进行比较，可以看出，该模型考虑了VSL模型中与冲击曲率和振动相关的项。在低雷诺数下，流连表面大大影响了传热和皮肤摩擦的预测，并扩展了该模型的适用范围。证明了在瞬变流态中使用的连续模型的渐近正确性的重要性。

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