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Heat Transfer Between Colliding Surfaces and Particles

机译:碰撞表面与颗粒之间的热传递

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摘要

Collisional heat transfer between two contacting curved surfaces is investigated computationally using a finite difference method and analytically using various asymptotic methods. Transformed coordinates that scale with the contact radius and the diffusion length are used for the computations. Hertzian contact theory of elasticity is used to characterize the contact area as a function of time. For an axisymmetric contact area, a two-dimensional self-similar solution for the thermal field during the initial period of contact is obtained, and it serves as an initial condition for the heat transfer simulation throughout the entire duration of collision. A two-dimensional asymptotic heat transfer result is obtained for small Fourier number. For finite Fourier numbers, local analytical solutions are presented to elucidate the nature of the singularity of the thermal field and heat flux near the contact point. From the computationally determined heat transfer during the collision, a closed-form formula is developed to predict the heat transfer as a function of the Fourier number, the thermal diffusivity ratio, and the thermal conductivity ratio of the impacting particles.
机译:使用有限差分法计算分析两个接触曲面之间的碰撞传热,并使用各种渐近方法进行分析。根据接触半径和扩散长度缩放的变换坐标用于计算。赫兹弹性接触理论用于表征接触面积随时间的变化。对于轴对称的接触区域,获得了在接触初始阶段的热场的二维自相似解,它是整个碰撞过程中传热模拟的初始条件。对于较小的傅立叶数,可以获得二维渐近传热结果。对于有限的傅立叶数,提出了局部解析解以阐明接触点附近的热场和热通量的奇异性质。根据计算得出的碰撞过程中的热传递,可以得出一个封闭形式的公式来预测热传递与冲击粒子的傅立叶数,热扩散率和热导率之间的关系。

著录项

  • 来源
    《Journal of Heat Transfer》 |2012年第1期|p.011301.1-011301.12|共12页
  • 作者单位

    Department of Mechanical and Aerospace Engineering,University of Florida,Gainesville, FL 32611;

    Department of Mechanical and Aerospace Engineering,University of Florida,Gainesville, FL 32611;

    Department of Mechanical and Aerospace Engineering,University of Florida,Gainesville, FL 32611;

    Department of Mechanical and Aerospace Engineering,University of Florida,Gainesville, FL 32611;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    heat transfer; particle impact; asymptotic method; fourier number;

    机译:传播热量;粒子冲击渐近法傅立叶数;

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