Schröder's equation
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Schröder's equation, named after Ernst Schröder, is a functional equation with one independent variable: given the function h, find the function Ψ such that
Ernst Schröder (1841–1902) in 1870 formulated his eponymous equation.
Turbulence
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In fluid dynamics, turbulence or turbulent flow is fluid motion exhibiting chaotic changes in pressure and flow velocity. It is in contrast to laminar flow, which occurs when a fluid flows in parallel
Schröder's equation
…have thus been extensively utilized in studies of nonlinear dynamics (often referred to colloquially as chaos theory). It is also used in studies of turbulence, as well as the renormalization group. An equivalent transpose form of Schröder's equation for the inverse Φ = Ψ−1 of Schröder's conjugacy function is…
Laminar and turbulent water flow over the hull of a submarine. As the relative velocity of the water increases, turbulence occurs.
Turbulence in the tip vortex from an airplane wing passing through coloured smoke
Flow visualization of a turbulent jet, made by laser-induced fluorescence. The jet exhibits a wide range of length scales, an important characteristic of turbulent flows.
The plume from this candle flame goes from laminar to turbulent. The Reynolds number can be used to predict where this transition will take place