Computation of the Linear and Nonlinear Stability of a Two-Layer Couette Flow

Autor:	Yu. Ya. Trifonov
Rok vydání:	2020
Předmět:	010302 applied physics Fluid Flow and Transfer Processes Physics Work (thermodynamics) Mechanical Engineering Computation Dynamics (mechanics) Mode (statistics) General Physics and Astronomy Mechanics 01 natural sciences 010305 fluids & plasmas Physics::Fluid Dynamics Nonlinear system 0103 physical sciences Range (statistics) Couette flow Communication channel
Zdroj:	Fluid Dynamics. 55:992-1002
ISSN:	1573-8507 0015-4628
DOI:	10.1134/s0015462820080078
Popis:	—This work considers the linear and nonlinear stability of a two-layer Couette flow in a horizontal channel. At the first stage, the Navier–Stokes equations are linearized in both phases. We then solve the spectral problem and investigate the dynamics of periodic disturbances in a wide range of changes in the volumetric content of liquids and the velocity of the top plate. Both the neutral and the fastest growing disturbances of the unstable interface mode are calculated. At the second stage, nonlinear stationary traveling wave regimes were calculated for the Couette flow in a horizontal channel using the complete Navier–Stokes equations for both liquids. The results are compared to the experimental data available in the literature.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c1e1fa786f2ceef76cb8e86c8c179d67 https://doi.org/10.1134/s0015462820080078 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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