Wing Theory & Boundary Layer (Prandtl)
Ludwig Prandtl explained in 1904 why air clings to a surface in a thin layer, and by 1918 had a working theory of lift and drag on a wing, so engineers could calculate an aircraft before building it.
Open in the interactive tree →In August 1904 Prandtl told the mathematics congress in Heidelberg that air next to a surface sticks to it in a thin boundary layer; this explains friction drag and, when the layer peels away, stall. In 1907 he began building a wind-tunnel institute at Göttingen, and with Albert Betz and Max Munk he published the lifting-line theory in 1918-1919, which shows how wingtip vortices cause drag and that an elliptical lift distribution gives the least of it for a given span. These theories let designers analyse a wing before building it, and in 1926 A. A. Griffith used aerofoil theory to show that compressor blades must be wing-shaped, a step toward the jet engine.
Prerequisites
- Newtonian Mechanics1687Forces on a moving fluid follow from Newton's laws
- Partial Differential Equations1747Boundary-layer theory simplifies the partial differential equations of fluid flow.
- Aerodynamics & Gliders1799-1896Lilienthal's lift tables showed what a theory of wings had to explain
Unlocks
- Turbojet Engine1937Compressor and turbine blades are aerofoils; Griffith's 1926 blade theory rests on wing theory
- Supersonic Flight (X-1 to Concorde)1947-1976Wings for near-sound speeds were designed with aerofoil theory
- Modern Wind Turbines~1980Rotor blades are aerofoils, designed with wing and lift theory.
Sources
More in Transport & Mobility · Machine Age
- Zeppelins & Rigid Airships1900-1937
- Airplane1903
- Gyrocompass & Autopilot1908
- Pallet & Forklift1917-1945
- Motorways & Interstates1924-1956
- Helicopter1936-1942
- Turbojet Engine1937