caa a22 4500 445391332 CHVBK 20180317143047.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1007/s10955-011-0256-1 doi (NATIONALLICENCE)springer-10.1007/s10955-011-0256-1 Hydrodynamic Fluctuations in Laminar Fluid Flow. I. Fluctuating Orr-Sommerfeld Equation [Elektronische Daten] [J. OrtizdeZárate, J. Sengers] In recent years it has become evident that fluctuating hydrodynamics predicts that fluctuations in nonequilibrium states are always spatially long ranged. In this paper we consider the application of fluctuating hydrodynamics to laminar fluid flow, using plane Couette flow as a representative example. Specifically, fluctuating hydrodynamics yields a stochastic Orr-Sommerfeld equation for the wall-normal velocity fluctuations, where spontaneous thermal noise acts as a random source.This stochastic equation needs to be solved subject to appropriate boundary conditions. We show how an exact solution can be obtained from an expansion in terms of the eigenfunctions of the Orr-Sommerfeld hydrodynamic operator. We demonstrate the presence of a flow-induced enhancement of the wall-normal velocity fluctuations and a resulting flow-induced energy amplification and provide a quantitative analysis how these quantities depend on wave number and Reynolds number. Springer Science+Business Media, LLC, 2011 Hydrodynamic fluctuations nationallicence Laminar fluid flow nationallicence Plane Couette flow nationallicence Orr-Sommerfeld equation nationallicence OrtizdeZárate J. Departamento de Física Aplicada I, Facultad de Física, Universidad Complutense, 28040, Madrid, Spain aut Sengers J. Institute for Physical Science and Technology and Burgers Program for Fluid Dynamics, University of Maryland, 20740-8510, College Park, MD, USA aut Journal of Statistical Physics Springer US; http://www.springer-ny.com 144/4(2011-08-01), 774-792 0022-4715 144:4<774 2011 144 10955 https://doi.org/10.1007/s10955-011-0256-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-011-0256-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- OrtizdeZárate J. Departamento de Física Aplicada I, Facultad de Física, Universidad Complutense, 28040, Madrid, Spain aut NATIONALLICENCE 700 1- Sengers J. Institute for Physical Science and Technology and Burgers Program for Fluid Dynamics, University of Maryland, 20740-8510, College Park, MD, USA aut NATIONALLICENCE 773 0- Journal of Statistical Physics Springer US; http://www.springer-ny.com 144/4(2011-08-01), 774-792 0022-4715 144:4<774 2011 144 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer