In fluid dynamics, turbulence kinetic energy (TKE) is the mean kinetic energy per unit mass associated with eddies in turbulent flow. Physically, the turbulence kinetic energy is characterised by measured root-mean-square (RMS) velocity fluctuations. In the Reynolds-averaged Navier Stokes equations, the turbulence kinetic energy can be calculated based on the closure method, i.e. a turbulence model. Generally, the TKE is defined to be half the sum of the variances (square of standard deviations) of the velocity components: where the turbulent velocity component is the difference between the instantaneous and the average velocity , whose mean and variance are and , respectively. TKE can be produced by fluid shear, friction or buoyancy, or through external forcing at low-frequency eddy scales (integral scale). Turbulence kinetic energy is then transferred down the turbulence energy cascade, and is dissipated by viscous forces at the Kolmogorov scale. This process of production, transport and dissipation can be expressed as: where: * Dk/Dt is the mean-flow material derivative of TKE; * ∇ · T′ is the turbulence transport of TKE; * P is the production of TKE, and * ε is the TKE dissipation. Assuming that molecular viscosity is constant, and making the Boussinesq approximation, the TKE equation is: By examining these phenomena, the turbulence kinetic energy budget for a particular flow can be found. (Wikipedia).
Kinetic Energy: Example Problems
This video gives an explanation of kinetic and contains several examples for calculating kinetic energy, mass and velocity using the kinetic energy equation. Kinetic energy is the energy an object possesses due to its motion. If an object is in motion then it has kinetic energy. It is als
From playlist Kinetic Energy, Potential Energy, Work, Power
Energy, Work, & Power, (1 of 31) Kinetic Energy, An Explanation
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From playlist Kinetic Energy, Potential Energy, Work, Power
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From playlist Kinetic Energy, Potential Energy, Work, Power
Energy, Work & Power (2 of 31) Kinetic Energy, Example No. 1
This video shows you how to calculate the kinetic energy of an object in motion and the relationship between kinetic energy and work. Kinetic energy is the energy that an object has due to its motion. It is defined as the work needed to accelerate an object from rest to a specific velocit
From playlist Kinetic Energy, Potential Energy, Work, Power
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Show you how to calculate changes in gravitational potential energy. Gravitational potential energy is the energy that an object has due to its position relative to other objects. Potential energy is often referred to as stored energy. Gravitational potential energy is dependent on the ma
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From playlist Wave equation
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Turbulence Energy Spectrum by Jayanta K. Bhattacharjee
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Horizontal convection: ocean energetics, heat flux,... - Young - Workshop 1 - CEB T3 2019
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