Taylor–Couette flow

Taylor–Couette flow is fluid motion in the gap between concentric cylinders rotating at different angular velocities. Its behavior ranges from laminar circulation to vortices and turbulence as rotation and fluid properties change.

Taylor vortices: Toroidal vortices that form in the gap between rotating concentric cylinders when the basic flow becomes centrifugally unstable. They are the characteristic first instability of many Taylor–Couette configurations.
Couette flow: Viscous fluid flow driven by the relative motion of bounding surfaces. Taylor–Couette flow extends this shear-driven setup to curved, rotating boundaries.
Taylor–Couette–Poiseuille flow: Flow in a rotating-cylinder annulus with an additional axial pressure-driven component. It models systems where rotation and through-flow act together.
Geoffrey Ingram Taylor: British mathematician and physicist whose work advanced fluid mechanics, turbulence, and applied mathematics. His experiments and analysis identified the vortex instability in rotating-cylinder flow.
Plane Couette flow: Shear flow between parallel plates moving relative to one another. It isolates wall-driven shear without the cylindrical curvature central to Taylor–Couette flow.
Taylor number: A dimensionless measure of centrifugal driving relative to viscous resistance in rotating-cylinder flow. It helps express when centrifugal effects can overcome viscous damping.
Annulus (fluid mechanics): The ring-shaped region between two concentric cylindrical surfaces. This is the fluid-filled gap where Taylor–Couette motion occurs.
Rotating machinery: Machines that use rotating components to transfer energy or move fluids. Fluid gaps in bearings, seals, and turbomachinery can exhibit related rotating-flow behavior.
Maurice Couette: French physicist known for experimental studies of fluid viscosity using rotating-cylinder apparatus. His apparatus supplied the geometry later used to study centrifugal instability.
Rayleigh–Bénard convection: Convection in a fluid layer heated from below and cooled from above. Both systems form organized cells at instability onset, but their driving forces differ.

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