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李婷婷, 李青, 涂国华, 袁先旭, 周强. 气动载荷下防热材料剥离颗粒输运特性的直接数值模拟研究. 力学学报, 2022, 54(6): 1523-1532. DOI: 10.6052/0459-1879-21-604
引用本文: 李婷婷, 李青, 涂国华, 袁先旭, 周强. 气动载荷下防热材料剥离颗粒输运特性的直接数值模拟研究. 力学学报, 2022, 54(6): 1523-1532. DOI: 10.6052/0459-1879-21-604
Li Tingting, Li Qing, Tu Guohua, Yuan Xianxu, Zhou Qiang. Direct numerical simulation of single ablative particle dynamics in near-wall Couette flow under aerodynamic load. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(6): 1523-1532. DOI: 10.6052/0459-1879-21-604
Citation: Li Tingting, Li Qing, Tu Guohua, Yuan Xianxu, Zhou Qiang. Direct numerical simulation of single ablative particle dynamics in near-wall Couette flow under aerodynamic load. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(6): 1523-1532. DOI: 10.6052/0459-1879-21-604

气动载荷下防热材料剥离颗粒输运特性的直接数值模拟研究

DIRECT NUMERICAL SIMULATION OF SINGLE ABLATIVE PARTICLE DYNAMICS IN NEAR-WALL COUETTE FLOW UNDER AERODYNAMIC LOAD

  • 摘要: 高超声速飞行器防热材料在气动载荷下发生机械剥蚀, 进而影响绕流流态、气动性能、热载荷等, 相关颗粒剥离动力学是高超声速热防护系统设计及防热材料体系评价中的共性基础性科学问题. 研究通过近壁流动量纲分析, 将烧蚀颗粒剥离过程模化为单个圆球惯性烧蚀颗粒在Couette流动中的动力学问题, 并采用颗粒解析的直接数值模拟方法开展数值研究, 获得了烧蚀颗粒关键特征参量对颗粒输运动力学的影响规律. 研究发现, 随着颗粒/流体密度比 \rho _r 越大, 颗粒惯性St越大, 则颗粒水平和法向输运速度均减小; 随着颗粒粒径d_\textp越大, 颗粒惯性St越大, 则颗粒水平输运速度减小, 但是, 法向输运速度和位移均因大颗粒受到更大的Saffman升力而增大. 此外, 烧蚀颗粒法向位移远小于水平位移, 颗粒以水平输运为主. 本研究最终建立了颗粒启动速度归一化表达式, 发现归一化颗粒启动速度是颗粒和流体惯性的函数, 即颗粒水平输运速度等于流体微团或中性浮力颗粒的速度减去惯性修正项. 研究结果为烧蚀颗粒调制边界层作用机理研究提供支撑.

     

    Abstract: When hypersonic vehicles reenter the atmosphere, the surface thermal protection materials will ablate under the action of high temperature airflow. In the process, the ablative particles will entrance the high temperature airflow and affect boundary-layer transition and turbulence characteristics downstream. Those phenomena will also happen in an arc-heated wind tunnel when conducting material thermal response experiments. Therefore, it is a significant basic scientific problem to study the transport behavior of inertial ablative particles under aerodynamic load. In this article, we analyzed the flow condition and particle exfoliation process very near a hypersonic vehicle wall with dimensional theory. After a series of reasonable assumptions and simplifications, we modelled the ablative particle exfoliation and transport process as one spherical inertial particle in Couette flow and adopted the particle resolved-direct numerical simulation (PR-DNS) method to study it. As a result, the particle exfoliation and transport characteristics were revealed and a normalized expression of particle start-up velocity was obtained, which would provide theoretical basis for accurate prediction of particle mass loss in the future. The research findings show that as the particle fluid density ratio \rho _r increases, the particle inertia St increases, and the horizontal and normal velocities of particle decrease. The larger the particle diameter is, the larger the particle inertia St is, and the horizontal velocity of the particle decreases. However, the normal velocity and displacement of the larger particle are increased. The reason is maybe larger particles receive larger Saffman lift force. Besides, the normal displacement of ablative particles is much smaller than the horizontal displacement, so the particles are mainly transported horizontally. In order to find the unified law underlying all the regularities, we defined the start-up velocity and found that the normalized particle start-up velocity is a function of the particle and fluid inertia, i.e., the particle horizontal transport velocity is the velocity of fluid or neutral buoyant particle minus the inertia correction term.

     

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