Bounds for turbulent shear flow
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Publication:5595116
DOI10.1017/S0022112070000599zbMath0198.30501MaRDI QIDQ5595116
Publication date: 1970
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Euler equationsvariational methodschannel flowpipe flowplane Couette flowturbulent shear flowturbulent regimesbounds on the transport of momentum
Related Items (35)
Variational bounds on shear-driven turbulence and turbulent Boussinesq convection ⋮ Remark on the energy dissipation in shear driven turbulence ⋮ Analysis of mesh effects on turbulent flow statistics ⋮ Maximum-entropy closure for a Galerkin model of an incompressible periodic wake ⋮ Improved variational principle for bounds on energy dissipation in turbulent shear flow ⋮ Wall to wall optimal transport ⋮ On the zeroth law of turbulence for the stochastically forced Navier-Stokes equations ⋮ Turbulent Couette flow profiles that maximize the efficiency function ⋮ Low-dimensional models from upper bound theory ⋮ Energy dissipation rate limits for flow through rough channels and tidal flow across topography ⋮ Bound on the drag coefficient for a flat plate in a uniform flow ⋮ Energy dissipation bounds for shear flows for a model in large eddy simulation ⋮ 3D shear flows driven by Lévy noise at the boundary ⋮ Pressure-driven flows in helical pipes: bounds on flow rate and friction factor ⋮ Upper bounds on the energy dissipation in turbulent precession ⋮ Upper bounds for turbulent Couette flow incorporating the poloidal power constraint ⋮ Heuristic Methods for Solving Large Scale Network Routing Problems: The Telpaking Problem ⋮ A prediction for the optimal stratification for turbulent mixing ⋮ New results in the variational approach to turbulent Boussinesq convection ⋮ Maximal mixing rate in turbulent stably stratified Couette flow ⋮ On smoothed turbulent shear flows: Bounds, numerics and stress-reducing additives ⋮ Stability and turbulent transport in Taylor–Couette flow from analysis of experimental data ⋮ Bounds on the dissipation in the Lorenz system ⋮ Bounds on dissipation for Navier-Stokes flow with Kolmogorov forcing ⋮ Scaling bounds on dissipation in turbulent flows ⋮ Lowering dissipation bounds for turbulent shear flows using a smoothness constraint ⋮ On the maximum drag reduction due to added polymers in Poiseuille flow ⋮ Unification of variational principles for turbulent shear flows: The background method of Doering-Constantin and the mean-fluctuation formulation of Howard-Busse ⋮ Extreme-scale motions in turbulent plane Couette flows ⋮ Optimal heat transfer enhancement in plane Couette flow ⋮ Bounds for turbulent convective dynamos ⋮ Upper bounds on functions of the dissipation rate in turbulent shear flow ⋮ Three-dimensional shear driven turbulence with noise at the boundary ⋮ Time-averaged energy dissipation rate for shear driven flows in \(\mathbb{R}^n\) ⋮ Effect of tangential derivative in the boundary layer on time averaged energy dissipation rate
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