Physics:Lamb surface
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Short description: Smooth, connected 2D surfaces in fluid dynamics
In fluid dynamics, Lamb surfaces are smooth, connected orientable two-dimensional surfaces, which are simultaneously stream-surfaces and vortex surfaces, named after the physicist Horace Lamb.[1][2][3] Lamb surfaces are orthogonal to the Lamb vector [math]\displaystyle{ \boldsymbol{\omega}\times\mathbf{u} }[/math] everywhere, where [math]\displaystyle{ \boldsymbol{\omega} }[/math] and [math]\displaystyle{ \mathbf{u} }[/math] are the vorticity and velocity field, respectively. The necessary and sufficient condition are
- [math]\displaystyle{ (\boldsymbol{\omega}\times\mathbf{u})\cdot[\nabla\times(\boldsymbol{\omega}\times\mathbf{u})]=0, \quad \boldsymbol{\omega}\times\mathbf{u}\neq 0. }[/math]
Flows with Lamb surfaces are neither irrotational nor Beltrami. But the generalized Beltrami flows has Lamb surfaces.
See also
References
![]() | Original source: https://en.wikipedia.org/wiki/Lamb surface.
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