2017/02/04 by Volker Elling, Elling, Volker
Engineering · #35Q35 #76B03 #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Fluid Dynamics and Vibration Analysis #Fluid dynamics and aerodynamics studies
paper · pdf · doi:10.48550/arxiv.1702.01365
openalex publication_date 2017/02/04 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28
We prove non-existence of nontrivial uniformly subsonic inviscid irrotational\nflows around several classes of solid bodies with two protruding corners, in\nparticular vertical and angled flat plates; horizontal plates are the only case\nwhere solutions exists. This fills the gap between classical results on bodies\nwith a single protruding corner on one hand and recent work on bodies with\nthree or more protruding corners.\n Thus even with zero viscosity and slip boundary conditions solids can\ngenerate vorticity, in the sense of having at least one rotational but no\nirrotational solutions. Our observation complements the commonly accepted\nexplanation of vorticity generation based on Prandtl's theory of viscous\nboundary layers.\n