Transient spreading resistance of arbitrary isoflux contact areas - Development of a universal time function
Transient spreading resistance of arbitrary isoflux contact areas - Development of a universal time function
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任意等通量接触区域的瞬态扩展电阻 - 通用时间函数的开发
DOI：
10.2514/6.1997-2458
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发表时间：
1997
期刊：
影响因子：
--
通讯作者：
M. Yovanovich
中科院分区：
文献类型：
--
作者：
M. Yovanovich
给出了两类几何形状：正多边形和超椭圆的iso UX平面接触面积的无量纲扩展阻力。扩展阻力基于瞬时质心温升。给出了正多边形的稳态扩展阻力与边数的函数以及超椭圆与形状参数和纵横比的函数的闭合表达式。给出了基于质心和基于面积平均的扩展电阻的表达式，它们对圆形接触区域的所有无量纲时间都是有效的。利用基于圆形接触面积解的封闭关系，建立了一个通用的时间函数，推荐用于精确计算所有具有较大长宽比的多边形和超椭圆接触区域的铺展阻力。为了快速计算扩展阻力，还给出了另一个更简单的表达式。
Dimensionless spreading resistances of iso ux planar contact areas are presented for two families of geometries: regular polygons and the hyperellipse. The spreading resistance is based on the transient centroid temperature rise. Closed-form expressions are presented for the steadystate spreading resistance of regular polygons as a function of the number of sides, and the hyperellipse as a function of the shape parameter and the aspect ratio. Expressions are presented for the centroid based and area-average based spreading resistances which are valid for all dimensionless time for the circular contact area. A closed-form relationship based on the solution for the circular contact area is used to develop a universal time function which is recommended for the accurate calculation of the spreading resistance for all polygons and hyperellipse contact areas having a wide range of aspect ratios. An alternate simpler expression is also presented for quick calculation of the spreading resistance.