Prandtl–Batchelor theorem
From Wikipedia, the free encyclopedia
In fluid dynamics, Prandtl–Batchelor theorem states that if in a two-dimensional laminar flow at high Reynolds number closed streamlines occur, then the vorticity in the closed streamline region must be a constant. A similar statement holds true for axisymmetric flows. The theorem is named after Ludwig Prandtl and George Batchelor. Prandtl in his celebrated 1904 paper stated this theorem in arguments,[1] George Batchelor unaware of this work proved the theorem in 1956.[2][3] The problem was also studied in the same year by Richard Feynman and Paco Lagerstrom[4] and by W.W. Wood in 1957.[5]