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Analytical Solution to the Heat Transfer in Fling-Off Cooling of Spur Gears

机译：正齿轮副冷却中传热的解析解

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摘要

In this research paper, the cooling process of an impingement cooled spur gear is examined by means of an analytical model. The process is modeled as a coolant film, which is flung off a rotating gear tooth flank by centrifugal forces. During the process, heat is transferred from the isothermal gear tooth flank to the coolant film. With a numerical solution to the analytical model, a formulation for the transient local Nusselt number is derived. The evaluation of the numerical solution revealed that the heat transfer is dominated by heat conduction in the coolant film. The heat transfer process ends when the thermal capacity of the coolant film is reached. The transient Nusselt number is used to derive a time-averaged and a global heat transfer coefficient. Furthermore, the influence of the initial coolant film height is examined by using a modified version of the analytical model. The global heat transfer coefficient decreases toward smaller initial cooling film heights. The analytical model is then extended to include the temperature dependency of the viscosity of the coolant. A viscosity that decreases with increasing temperature yields a moderate decrease in heat transfer. A discussion is presented regarding the applicability of the analytical model toward impingement cooled spur gears. The effect of the simplifications made in the derivation of the analytical model is outlined and assessed with regard to the heat transfer mechanism.
机译：在这篇研究论文中，通过分析模型检查了冲击冷却的正齿轮的冷却过程。该过程被建模为冷却剂薄膜，该薄膜通过离心力从旋转的齿轮齿侧面甩下。在此过程中，热量从等温齿轮的齿侧面传递到冷却液膜。通过对解析模型的数值解，得出了瞬态局部Nusselt数的公式。数值解的评估表明，热传递受冷却剂薄膜中的热传导支配。当达到冷却液膜的热容量时，传热过程结束。暂态Nusselt数用于导出时间平均值和全局传热系数。此外，通过使用分析模型的修改版本来检查初始冷却剂膜高度的影响。总体传热系数朝较小的初始冷却膜高度减小。然后扩展分析模型以包括冷却剂粘度的温度依赖性。粘度随着温度的升高而降低，从而导致热传递的适度降低。讨论了分析模型对冲击冷却的正齿轮的适用性。关于传热机制，概述并评估了在分析模型推导中进行的简化的效果。

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  • 来源
    《Journal of Heat Transfer》 |2019年第8期|082103.1-082103.10|共10页
  • 作者

    Kromer Christian; Cordes Laura; Keller Marc C.; Schwitzke Corina; Bauer Hans-Joerg;

  • 作者单位

    KIT, Inst Thermal Turbomachinery, Kaiserstr 12, D-76131 Karlsruhe, Germany;

    KIT, Inst Thermal Turbomachinery, Kaiserstr 12, D-76131 Karlsruhe, Germany;

    KIT, Inst Thermal Turbomachinery, Kaiserstr 12, D-76131 Karlsruhe, Germany;

    KIT, Inst Thermal Turbomachinery, Kaiserstr 12, D-76131 Karlsruhe, Germany;

    KIT, Inst Thermal Turbomachinery, Kaiserstr 12, D-76131 Karlsruhe, Germany;

  • 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
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