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首页> 外文会议>The 2001 ASME International Mechanical Engineering Congress and Exposition, 2001, Nov 11-16, 2001, New York, New York >TURBULENT HEAT TRANSFER OVER A FREE ROTATING DISK: ANALYTICAL AND NUMERICAL PREDICTIONS USING SOLUTIONS OF DIRECT AND INVERSE PROBLEMS
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TURBULENT HEAT TRANSFER OVER A FREE ROTATING DISK: ANALYTICAL AND NUMERICAL PREDICTIONS USING SOLUTIONS OF DIRECT AND INVERSE PROBLEMS

机译：自由旋转圆盘上的湍流传热：使用直接和反问题解决方案的解析和数值预测

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摘要

All known analytical solutions of the integral equation of the turbulent thermal boundary layer for a rotating disk have ten obtained for the case of direct problem. This means finding the Nusselt number at a given distribution of the wall temperature. This distribution is described by power law and is monotone (derivative of wall temperature with respect to the radial coordinate does not change its sign). Outlined in this paper is an analytical form of non-monotone distribution of the wall temperature, which provided a new analytical solution for the turbulent Nusselt number including earlier known equations as a specific particular case. The solution is based on the integral method, which proved to be more precise than known Dorfman 's approach. Chosen for validation of the proposed method were turbulent heat transfer experiments of Northrop and Owen (1988). Predictions presented include analytical studies using inverse and direct problem solutions as well as numerical simulations using polynomial approximations of the experimental wall temperature distributions.
机译：对于直接问题，对于旋转盘的湍流热边界层的积分方程的所有已知解析解都有十个。这意味着在壁温的给定分布下找到Nusselt数。该分布由幂定律描述，并且是单调的（壁温相对于径向坐标的导数不会改变其符号）。本文概述了壁温非单调分布的一种解析形式，它为湍流的Nusselt数提供了一种新的解析解，其中包括较早的已知方程式作为特定的特殊情况。该解决方案基于积分方法，事实证明它比已知的Dorfman方法更精确。为验证所提出的方法，选择了Northrop和Owen（1988）的湍流传热实验。提出的预测包括使用反问题和直接问题解决方案的分析研究以及使用实验壁温度分布的多项式逼近进行的数值模拟。

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