Riabouchinsky Solid
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In
fluid mechanics Fluid mechanics is the branch of physics concerned with the mechanics of fluids (liquids, gases, and plasma (physics), plasmas) and the forces on them. Originally applied to water (hydromechanics), it found applications in a wide range of discipl ...
a Riabouchinsky solid is a technique used for approximating
boundary layer separation In fluid dynamics, flow separation or boundary layer separation is the detachment of a boundary layer from a surface into a wake. A boundary layer exists whenever there is relative movement between a fluid and a solid surface with viscous fo ...
from a bluff body using
potential flow In fluid dynamics, potential flow or irrotational flow refers to a description of a fluid flow with no vorticity in it. Such a description typically arises in the limit of vanishing viscosity, i.e., for an inviscid fluid and with no vorticity pre ...
. It is named after Dimitri Pavlovitch Riabouchinsky. Riabouchinsky solids are typically used for analysing the behaviour of bodies moving through otherwise quiescent fluid (examples would include moving cars, or buildings in a windfield). Typically the
streamline Streamline may refer to: Business * Streamline Air, American regional airline * Adobe Streamline, a discontinued line tracing program made by Adobe Systems * Streamline Cars, the company responsible for making the Burney car Engineering ...
that touches the edge of the body is modelled as having no transverse pressure gradient and thus may be styled as a
free surface In physics, a free surface is the surface of a fluid that is subject to zero parallel shear stress, such as the interface between two homogeneous fluids. An example of two such homogeneous fluids would be a body of water (liquid) and the air in ...
after separation. The use of Riabouchinsky solids renders
d'Alembert's paradox In fluid dynamics, d'Alembert's paradox (or the hydrodynamic paradox) is a paradox discovered in 1752 by French mathematician Jean le Rond d'Alembert. D'Alembert proved that – for incompressible and inviscid potential flow – the drag force ...
void; the technique typically gives reasonable estimates for the drag offered by bluff bodies moving through inviscid fluids.


References

Fluid dynamics Russian inventions {{fluiddynamics-stub