V2EX grashof number

Grashof Number

定义 Definition

Grashof number(格拉晓夫数)是流体力学与传热学中的一个无量纲数,用于衡量自然对流中由浮力(密度差)驱动的流动强度与黏性力的相对大小。它常与 Prandtl number 一起用来判断自然对流的流动状态与换热特性(例如层流/湍流趋势)。

常见形式(了解即可): \[ Gr=\frac{g\,\beta\,(T_s-T_\infty)\,L^3}{\nu^2} \] 其中 \(g\) 为重力加速度,\(\beta\) 为体膨胀系数,\(T_s-T_\infty\) 为温差,\(L\) 为特征长度,\(\nu\) 为运动黏度。

发音 Pronunciation (IPA)

/rf nmbr/

例句 Examples

The Grashof number helps predict natural convection around a heated plate.
格拉晓夫数有助于预测加热平板周围的自然对流情况。

When the Grashof number is large, buoyancy effects dominate and the flow may transition to turbulence, affecting heat transfer rates.
当格拉晓夫数很大时,浮力效应占主导,流动可能向湍流转捩,从而影响传热速率。

词源 Etymology

Gashof number得名于德国工程科学家Franz Grashof(弗朗茨格拉晓夫,18261893)。以人名命名的无量纲数在工程学中很常见,用于纪念相关领域的重要贡献者。

相关词 Related Words

文学与经典教材中的用例 Literary / Notable Works

  • Fundamentals of Heat and Mass Transfer(Incropera 等)自然对流关联式中常与 Gr、Pr、Ra 并用
  • Transport Phenomena(Bird, Stewart & Lightfoot)以无量纲分析框架讨论自然对流
  • Convective Heat Transfer(Kays & Crawford)对流换热章节中用于判据与经验关联
  • Heat and Mass Transfer: Fundamentals & Applications(engel & Ghajar)自然对流计算与关联式示例中出现
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