Hydrodynamic fluctuations in laminar fluid flow. I: Fluctuating Orr-Sommerfeld equation

DOI10.1007/s10955-011-0256-1zbMath1227.82074OpenAlexW1989401681MaRDI QIDQ644953

José M. Ortiz de Zárate, Jan V. Sengers

Publication date: 7 November 2011

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-011-0256-1

zbMATH Keywords

Orr-Sommerfeld equationplane Couette flowlaminar fluid flowhydrodynamic fluctuations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Statistical mechanics of liquids (82D15) PDEs in connection with statistical mechanics (35Q82)

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Velocity fluctuations in laminar fluid flow ⋮ Transition to turbulence in shear flows ⋮ Hydrodynamic fluctuations in laminar fluid flow. II. Fluctuating squire equation ⋮ Effective field theory of dissipative fluids ⋮ Hydrodynamic fluctuations in laminar fluid flow. I: Fluctuating Orr-Sommerfeld equation ⋮ Potential landscape and flux field theory for turbulence and nonequilibrium fluid systems ⋮ Analytical and Computational Studies of Correlations of Hydrodynamic Fluctuations in Shear Flow ⋮ Nonequilibrium thermodynamics of the first and second kind: averages and fluctuations ⋮ Bi-velocity hydrodynamics: multicomponent fluids ⋮ Fluctuating hydrodynamics for a rarefied gas based on extended thermodynamics

Cites Work

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• Velocity fluctuations in laminar fluid flow
• On the application of infinite systems of ordinary differential equations to perturbations of plane Poiseuille flow
• Energy amplification in channel flows with stochastic excitation
• Stochastic forcing of the linearized Navier–Stokes equations
• Componentwise energy amplification in channel flows
• Contributions to Non-Equilibrium Thermodynamics. I. Theory of Hydrodynamical Fluctuations

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