Heat diffusion in a channel under white noise modeling of turbulence
Franco Flandoli, Scuola Normale Superiore, Piazza dei Cavalieri, 7, 56126 Pisa, Italy, Eliseo Luongo
Abstract
<abstract><p>A passive scalar equation for the heat diffusion and transport in an infinite channel is studied. The velocity field is white noise in time, modelling phenomenologically a turbulent fluid. Under the driving effect of a heat source, the phenomenon of eddy dissipation is investigated: the solution is close, in a weak sense, to the stationary deterministic solution of the heat equation with augmented diffusion coefficients.</p></abstract>
Topics & Concepts
TurbulenceHeat equationScalar (mathematics)MechanicsDiffusionWhite noisePhysicsEddy diffusionTurbulent diffusionDissipationThermodynamicsNoise (video)MathematicsComputer scienceGeometryQuantum mechanicsStatisticsImage (mathematics)Artificial intelligenceFluid Dynamics and Turbulent FlowsAdvanced Mathematical Modeling in EngineeringStochastic processes and financial applications