This lesson covers the theoretical model of flow pasture finitely, Biot Servert Law, and Prandtl's Lifting Line Theory. It explains the motivation behind the theory, which was to model the finite wing using a horseshoe vortex. The lesson also discusses the concept of vortex filament and the accompanying Biot Servert Law. It further elaborates on the Helmholtz theorem, which states that the strength of a vortex filament is constant along its length and a vortex filament cannot end in a fluid. The lesson concludes with an explanation of how Prandtl and his team refined the model to make it look like a continuous sheet of vorticity.
01:16 - Explanation of the bound vortex and trailing vertices.
07:08 - Explanation of the Helmholtz theorem and its implications.
10:12 - Discussion on the concept of geometric twist, wash out, and wash in in wings.
20:06 - Discussion on the downwash distribution with the use of multiple horseshoe vortices.
- The first theoretical model for flow pasta finite wing was proposed by Ludwig Prandtl.
- The Biot Servert Law in aerodynamics gives a relation between the current carried by a conductor of elemental length and the magnetic field induced by that current.
- The Helmholtz theorem states that the strength of a vortex filament is constant along its length and a vortex filament cannot end in a fluid.
- Prandtl and his team refined the model to make it look like a continuous sheet of vorticity, which gave a very good approximation of the real flow field.