V2EX nondimensional

Nondimensional

定义 Definition

(尤用于科学与工程)无量纲的;非量纲化的:不带单位,或经过缩放处理后用纯数字来表示,以便比较不同系统、简化方程与突出关键影响因素。(也常写作 non-dimensional

发音 Pronunciation (IPA)

/nn.dmn.n.l/

例句 Examples

We rewrite the equations in nondimensional form.
我们把方程改写成无量纲形式。

Using nondimensional numbers like the Reynolds number helps compare flows at different scales.
使用雷诺数等无量纲数有助于比较不同尺度下的流动。

词源 Etymology

由前缀 non-(“非、不”)+ dimensional(“有维度的、量纲的”)构成,字面意思是“非量纲的”。在物理、流体力学、传热等学科中,常指通过选取特征长度、速度、时间等基准量进行量纲分析/无量纲化,把带单位的变量转换为纯数形式。

相关词 Related Words

文学与作品 Literary Works

  • Transport Phenomena(Bird, Stewart & Lightfoot):大量使用无量纲变量与无量纲数来推导与比较传递过程。
  • Boundary-Layer Theory(Hermann Schlichting):边界层方程常以无量纲形式给出以揭示相似性。
  • An Introduction to Fluid Dynamics(G. K. Batchelor):讨论相似理论与无量纲化在流体问题中的作用。
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