亥姆霍兹定理 (流体力学)
亥姆霍兹定理（英語：）是流体力学中关于涡旋动力学性质的三条定理，以德国物理学家赫尔曼·冯·亥姆霍兹的名字命名。
亥姆霍兹定理适用于有势体积力作用下的无粘性、正压流体，其表述分别为：
- 亥姆霍兹第一定理：涡线的强度沿涡线保持不变。
- 亥姆霍兹第二定理：涡线在流体中不会自行产生或消失，只能首尾相接、沿伸至无穷远处或终止于边界处。
- 亥姆霍兹第三定理：无外力影响下，无旋流动始终保持无旋。
参见
- 开尔文环流定理
参考文献
- M. J. Lighthill, An Informal Introduction to Theoretical Fluid Mechanics, Oxford University Press, 1986, ISBN 0-19-853630-5
- P. G. Saffman, Vortex Dynamics, Cambridge University Press, 1995, ISBN 0-521-42058-X
- G. K. Batchelor, An Introduction to Fluid Dynamics, Cambridge University Press (1967, reprinted in 2000).
- Kundu, P and Cohen, I, Fluid Mechanics, 2nd edition, Academic Press 2002.
- George B. Arfken and Hans J. Weber, Mathematical Methods for Physicists, 4th edition, Academic Press: San Diego (1995) pp. 92–93
- A.M. Kuethe and J.D. Schetzer (1959), Foundations of Aerodynamics, 2nd edition. John Wiley & Sons, Inc. New York ISBN 0-471-50952-3
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