V2EX irrotational

Irrotational

释义 Definition

无旋的;无涡的(尤用于物理与数学):指流体流动或向量场在局部没有旋转/涡旋,通常意味着其旋度(curl)为零。在流体力学中常说 irrotational flow(无旋流)。
(该词也可在更一般语境中表示“不会旋转的”,但最常见于理工科。)

发音 Pronunciation

/rotenl/

例句 Examples

Irrotational flow has no local swirling motion.
无旋流在局部没有旋涡式的旋转运动。

If the velocity field is irrotational, it can often be expressed as the gradient of a potential function, except in regions with singularities.
如果速度场是无旋的,它通常可以表示为某个势函数的梯度,但在存在奇点的区域可能例外。

词源 Etymology

由 **ir-**(否定前缀,表示“非、不”)+ rotational(旋转的,来自 rotate “旋转”)构成;整体字面义即“非旋转的”。在科学语境中进一步专指“旋度为零”的性质。

相关词 Related Words

文学与经典著作 Literary Works

  • G. K. Batchelor, An Introduction to Fluid Dynamics(常用于讨论无旋流与速度势)
  • L. D. Landau & E. M. Lifshitz, Fluid Mechanics(无旋近似、势流理论中频繁出现)
  • H. Lamb, Hydrodynamics(经典流体力学著作,含 irrotational motion/flow 的系统表述)
  • J. D. Jackson, Classical Electrodynamics(在向量分析与场论语境中涉及“无旋场/旋度为零”相关表述)
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