V2EX froude number

Froude Number

释义 Definition

弗劳德数(Fr):流体力学中的无量纲数,用来衡量惯性力与重力效应的相对大小,常用于自由液面流(如明渠水流、船舶兴波)与相似尺度分析。常见形式:
**Fr = V / √(gL)**(V 为特征速度,g 为重力加速度,L 为特征长度)

发音 Pronunciation (IPA)

/frud nmbr/

例句 Examples

The Froude number helps predict whether a flow is subcritical or supercritical.
弗劳德数有助于判断水流是缓流(亚临界)还是急流(超临界)。

To scale a ship model test to the real ship, engineers often match the Froude number to keep wave-making effects similar.
为了把船模试验结果可靠地推算到实船,工程师常通过匹配弗劳德数来保持造波效应的相似性。

词源 Etymology

Froude number 得名于英国工程师 William Froude(威廉弗劳德,18101879)。他在船舶阻力与模型试验的相似理论中作出重要贡献,因此以其姓氏命名该无量纲参数;“number”表示“数/指标”。(该术语主要用于工程与科学语境。)

相关词 Related Words

文献与著作 Literary / Notable Works

  • Frank M. White,《Fluid Mechanics》(常用于讨论相似准则与 Fr 的物理意义)
  • G. K. Batchelor,《An Introduction to Fluid Dynamics》(涉及无量纲分析与自由表面问题)
  • Horace Lamb,《Hydrodynamics》(经典流体力学著作,相关章节会用到相似参数思想)
  • Ven Te Chow,《Open-Channel Hydraulics》(明渠水力学中用 Fr 区分流态与临界条件)
  • J. P. H. Pritchard / 等船舶工程教材(如船舶阻力与推进类教材中常用 Fr 处理兴波相似)
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