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oai:docta.ucm.es:20.500.14352/350382024-09-06T17:06:20Zcom_20.500.14352_14col_20.500.14352_15

Hydrodynamic Fluctuations in Laminar Fluid Flow. II. Fluctuating Squire Equation Ortiz De Zárate Leira, José María Sengers, Jan V. Energy amplification Fluctuating hydrodynamics Laminar fluid flow Orr-Sommerfeld equation Plane Couette flow Squire equation Vorticity fluctuations Física (Física) 22 Física © Springer Science+Business Media, LLC 2012. The authors acknowledge stimulating discussions with Andreas Acrivos, Bruno Eckhardt and Mihailo Jovanovic. The research was supported by the Spanish Ministry of Science and Innovation through research grant FIS2008-03801. We use fluctuating hydrodynamics to evaluate the enhancement of thermally excited fluctuations in laminar fluid flow using plane Couette flow as a representative example. In a previous publication (J. Stat. Phys. 144:774, 2011) we derived the energy amplification arising from thermally excited wall-normal fluctuations by solving a fluctuating Orr-Sommerfeld equation. In the present paper we derive the energy amplification arising from wall-normal vorticity fluctuation by solving a fluctuating Squire equation. The thermally excited wall-normal vorticity fluctuations turn out to yield the dominant contribution to the energy amplification. In addition, we show that thermally excited streaks, even in the absence of any externally imposed perturbations, are present in laminar fluid flow. Ministerio de Ciencia e Innovación (MCINN), España Depto. de Estructura de la Materia, Física Térmica y Electrónica Fac. de Ciencias Físicas TRUE pub 2023-06-19T14:59:04Z 2023-06-19T14:59:04Z 2013-02 journal article https://hdl.handle.net/20.500.14352/35038 0022-4715 10.1007/s10955-012-0495-9 eng FIS2008-03801 open access application/pdf Springer