Eddy heat exchange at the boundary under white noise turbulence
Franco Flandoli, Lucio Galeati, Dejun Luo
2022Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences33 citationsDOIOpen Access PDF
Abstract
We prove the existence of an eddy heat diffusion coefficient coming from an idealized model of turbulent fluid. A difficulty lies in the presence of a boundary, with also turbulent mixing and the eddy diffusion coefficient going to zero at the boundary. Nevertheless, enhanced diffusion takes place. This article is part of the theme issue 'Scaling the turbulence edifice (part 2)'.
Topics & Concepts
TurbulenceEddy diffusionMechanicsDiffusionPhysicsBoundary (topology)Mixing (physics)Boundary layerTurbulent diffusionScalingTurbulence modelingThermodynamicsMathematicsGeometryMathematical analysisQuantum mechanicsFluid Dynamics and Turbulent FlowsAdvanced Mathematical Modeling in EngineeringNumerical methods in inverse problems