Lamb surface explained

\boldsymbol{\omega} x u everywhere, where \boldsymbol{\omega} and u are the vorticity and velocity field, respectively. The necessary and sufficient condition are(\boldsymbol{\omega} x u ) ⋅ [\nabla x (\boldsymbol{\omega} x u )] =0 , \boldsymbol{\omega} x u ≠ 0 .

Flows with Lamb surfaces are neither irrotational nor Beltrami. But the generalized Beltrami flows has Lamb surfaces.

See also

• Beltrami flow

Notes and References

1. Lamb, H. (1932). Hydrodynamics, Cambridge Univ. Press,, 134–139.
2. Truesdell, C. (1954). The kinematics of vorticity (Vol. 954). Bloomington: Indiana University Press.
3. Sposito, G. (1997). On steady flows with Lamb surfaces. International journal of engineering science, 35(3), 197–209.