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The 79 pages that link to Turbulence, each with the reason it gives.
Reynolds numberRelated: High Reynolds number makes turbulent motion more likely but does not guarantee it.
Molecular cloudRelated: Supersonic turbulence both supports clouds against collapse and creates dense pockets within them.
Hydrostatic equilibriumCompared with: Turbulent flows violate the at-rest assumption behind the hydrostatic description.
Navier–Stokes equationsRelated: The equations govern turbulence, but its multiscale behavior makes prediction difficult.
HydrodynamicsCompared with: It emerges when liquid motion becomes unstable and strongly mixed.
Fluid mechanicsRelated: It arises when nonlinear motion overwhelms simple laminar patterns and greatly enhances mixing.
SedimentationRelated: Turbulent eddies can keep particles suspended or resuspend settled material.
Chaos theoryRelated: Turbulence is a major physical setting where chaotic dynamics may contribute to unpredictability.
Laminar flowCompared with: Unlike laminar flow, turbulence continually transports momentum across the stream.
Wind turbineRelated: Turbulence creates changing aerodynamic loads that affect energy capture and fatigue.
Gravitational instabilityCompared with: Turbulent motions can support a cloud on large scales while promoting dense structures locally.
Turbidity currentRelated: Turbulent mixing keeps sediment suspended and shapes the current's structure.
MicrofluidicsCompared with: It contrasts with the smooth, usually laminar flows common in microchannels.
Andrey KolmogorovNarrower topic: His scaling theory remains a central framework for understanding fully developed turbulence.
Fluid dynamicsBroader topic: It is a difficult flow regime that challenges averaging, prediction, and computation.
Mathematical physicsRelated: A rigorous account of its emergence and statistical behavior remains difficult despite precise fluid equations.
Swing bowlingRelated: Turbulent flow around one side of the ball can shift where airflow separates.
TurbiditeRelated: Turbulent motion helps keep sediment suspended within many turbidity currents.
Aerodynamic dragCompared with: Turbulence can raise skin friction yet delay separation and reduce pressure drag.
WindbreakRelated: Airflow around and through a windbreak generates turbulence that shapes its shelter zone.
Flow separationCompared with: Turbulent mixing can replenish near-wall momentum and delay separation.
Hydraulic jumpRelated: Strong turbulence converts much of the incoming flow’s mechanical energy into heat.
VortexRelated: Turbulent flows contain vortices that stretch, tilt, and interact.
Blood flowCompared with: Unlike laminar flow, turbulence raises energy losses and can occur at high velocity or near narrowed vessels.
DraftingRelated: The wake is turbulent, making shelter and handling less steady than simple drag reduction suggests.
Volumetric flow rateCompared with: Its fluctuating velocities make flow-rate measurement depend on averaging over time and area.
Wind dispersalRelated: Gusts and turbulent eddies lift and transport seeds beyond steady-flow predictions.
Cold brew coffeeCompared with: Unlike stirred or flowing extraction, many cold-brew methods leave grounds largely undisturbed.
Dynamic viscosityCompared with: Viscosity opposes velocity gradients, while turbulence greatly increases mixing and momentum transport.
Nonlinear dynamicsRelated: Nonlinear fluid equations help account for turbulence's instabilities and interacting scales.
Open-channel flowCompared with: Channel flow can be turbulent; this is a separate regime distinction from having a free surface.
Dust coagulationRelated: Turbulent gas motions can stir dust and raise collision speeds.
GasRelated: Gas flows can become turbulent, making their motion difficult to predict from simple laws.
HemodynamicsCompared with: It departs from the orderly-flow assumptions behind basic resistance equations.
Internal waveRelated: Wave breaking often transfers internal-wave energy into turbulent motion.
Shear rateRelated: Turbulent velocity gradients create highly variable local shear rates.
StreamliningCompared with: Turbulent boundary layers resist separation better but usually increase skin friction.
Pipe flowBroader topic: It is common in practical pipes and raises frictional losses beyond laminar predictions.
Reverse swingRelated: The rough side of an older ball can trigger turbulence in the air flowing over it.
Star formation efficiencyRelated: Turbulent motions can support a cloud against collapse while also creating dense pockets.
Suspended loadRelated: Eddies lift and redistribute sediment, counteracting its tendency to settle.
Atmospheric instabilityRelated: Unstable stratification can generate turbulence and enhance vertical mixing.
Benoit MandelbrotRelated: Mandelbrot used scaling ideas to investigate the complex geometry of turbulent phenomena.
Steady flowRelated: Turbulence can be statistically steady even though instantaneous properties fluctuate.
Wavelet transformRelated: Wavelet analysis can track localized structures across turbulence's broad range of scales.
Bok globuleRelated: Internal turbulent motions can support a globule or promote dense substructure.
Claude-Louis NavierRelated: The nonlinear equations Navier helped establish govern turbulent flow, though predicting it remains difficult.
Hagen–Poiseuille equationCompared with: The equation does not describe the extra momentum transport of turbulence.
Large eddy simulationNarrower topic: LES is designed to predict turbulent flows without resolving every fluctuation.
Theodore von KármánRelated: His work addressed how turbulent motion develops and how engineers can estimate its effects.