“Milne-Thomson circle theorem”的概念、定义、翻译、参考文献-科学参考

Milne-Thomson circle theorem

Mathematics

This theorem describes planar fluid flow around a circle. If w = f(z) is the complex potential of a flow, with all its singularities satisfying |z| > a, then———

$w = f (z) + \overset{}{f (\frac{a^{2}}{\bar{z}})}$

is the complex potential of a flow with the same singularities as f(z) outside |z| > a and which has |z| = a as a streamline. This is essentially applying the method of images to a circular boundary as $a^{2} / z ¯$ is the inverse point of z.

单词	Milne-Thomson circle theorem
释义	Milne-Thomson circle theorem Mathematics This theorem describes planar fluid flow around a circle. If w = f(z) is the complex potential of a flow, with all its singularities satisfying \|z\| > a, then——— $w = f (z) + \overset{}{f (\frac{a^{2}}{\bar{z}})}$ is the complex potential of a flow with the same singularities as f(z) outside \|z\| > a and which has \|z\| = a as a streamline. This is essentially applying the method of images to a circular boundary as $a^{2} / z ¯$ is the inverse point of z.
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