Chaos theory

Multiscale turbulence

Multiscale turbulence is a class of turbulent flows in which the chaotic motion of the fluid is forced at different length and/or time scales. This is usually achieved by immersing in a moving fluid a body with a multiscale, often fractal-like, arrangement of length scales. This arrangement of scales can be either passive or active As turbulent flows contain eddies with a wide range of scales, exciting the turbulence at particular scales (or range of scales) allows one to fine-tune the properties of that flow. Multiscale turbulent flows have been successfully applied in different fields., such as: * Reducing acoustic noise from wings by modifying the geometry of spoilers; * Enhancing heat transfer from impinging jets passing through grids; * Reducing the vortex shedding intensity of flows past normal plates without changing the shedding frequency; * Enhancing mixing by energy-efficient stirring; * Improving flow metering and flow conditioning in pipes; * Improving combustion. Multiscale turbulence has also played an important role into probing the internal structure of turbulence. This sort of turbulence allowed researchers to unveil a novel dissipation law in which the parameter in is not constant, as required by the Richardson-Kolmogorov energy cascade. This new law can be expressed as , with , where and are Reynolds numbers based, respectively, on initial/global conditions (such as free-stream velocity and the object's length scale) and local conditions (such as the rms velocity and integral length scale). This new dissipation law characterises non-equilibrium turbulence apparently universally in various flows (not just multiscale turbulence) and results from non-equilibrium unsteady energy cascade. This imbalance implies that new mean flow scalings exist for free shear turbulent flows, as already observed in axisymmetric wakes (Wikipedia).

Multiscale turbulence
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From playlist Multivariable calculus

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From playlist Multivariable Calculus | Multiple Integrals

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From playlist SmoothLife

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From playlist Lines and Planes in Three Dimensions

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Learning Multiscale Physics with Deep Neural Networks - Mallat - Workshop 2 - CEB T3 2018

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From playlist 2018 - T3 - Analytics, Inference, and Computation in Cosmology

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From playlist Advanced Calculus / Multivariable Calculus

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From playlist Thermalization, Many Body Localization And Hydrodynamics 2019

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From playlist Stochastic Thermodynamics, Active Matter and Driven Systems - 2017

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From playlist Worldwide Multivariable Calculus

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From playlist SIAM Conference on Geosciences 2015

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From playlist HIM Lectures: Trimester Program "Multiscale Problems"

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From playlist Turbulence from Angstroms to light years

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From playlist Multivariable Spaces and Functions

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From playlist Drones

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From playlist Multivariable Calculus

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From playlist Research Abstracts from Brunton Lab

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From playlist Data-driven Physical Simulations (DDPS) Seminar Series

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From playlist Advanced Calculus / Multivariable Calculus

Related pages

Frequency | Reynolds number | Length scale | Andrey Kolmogorov | Fractal | Root mean square | Dissipation | Turbulence