V2EX sommerfeld number

Sommerfeld Number

定义 Definition

Sommerfeld number(索末菲数)是润滑与轴承工程中常用的无量纲参数,用来表征滑动轴承(流体动压润滑)中黏度、转速、载荷与几何尺寸等因素的综合影响,常用于判断润滑状态、估算摩擦与承载能力。(不同教材对其具体公式写法可能略有差异,但物理含义一致。)

发音 Pronunciation (IPA)

/smrfld/ /nmbr/

例句 Examples

The Sommerfeld number helps engineers compare bearing performance under different loads.
索末菲数帮助工程师在不同载荷下比较轴承性能。

In hydrodynamic lubrication analysis, increasing viscosity or speed typically raises the Sommerfeld number, which can shift the operating point toward a thicker lubricant film.
在流体动压润滑分析中,提高黏度或转速通常会增大索末菲数,从而使工作状态趋向于更厚的润滑油膜。

词源 Etymology

“Sommerfeld”来自德国物理学家Arnold Sommerfeld(阿诺德索末菲)的姓氏;“number”在工程与物理中常指用于相似分析/尺度化的无量纲数。因此“Sommerfeld number”字面义为“索末菲提出/相关的无量纲数”,在摩擦学与承理论中被固定为描述动压润滑工况的重要参数。

相关词 Related Words

文学与经典著作中的用例 Literary Works

  • Fundamentals of Fluid Film Lubrication(Hamrock, Schmid, Jacobson):在滑动轴承与流体膜润滑章节中用索末菲数组织性能图与工况分析。
  • Hydrodynamic Lubrication(Pinkus & Sternlicht):讨论轴承特性参数与性能曲线时频繁引用索末菲数。
  • Design of Film Bearings(Raimondi & Boyd 相关经典轴承图表文献与汇编):轴承性能图(RaimondiBoyd 图)常以索末菲数或等价参数表达工况位置。
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