Some Features of Hydrodynamic Instability of a Plane Channel Flow of a Thermoviscous Fluid

In this work we study the effect of the exponential temperature dependence of the incompressible fluid viscosity on the critical parameters of the flow hydrodynamic stability in a flat channel at various specified values of the wall temperature. The temperature field perturbations are thought to be...

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Bibliographic Details
Published inFluid dynamics Vol. 54; no. 7; pp. 978 - 982
Main Authors Kireev, V. N., Nizamova, A. D., Urmancheev, S. F.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.12.2019
Springer
Springer Nature B.V
Subjects
Analysis
Channel flow
Classical and Continuum Physics
Classical Mechanics
Eigenvalues
Engineering Fluid Dynamics
Flow stability
Fluid dynamics
Fluid flow
Fluid- and Aerodynamics
Incompressible flow
Incompressible fluids
Neutral stability curves
Numerical analysis
Orr-Sommerfeld equations
Peclet number
Physics
Physics and Astronomy
Reynolds number
Structural stability
Temperature dependence
Temperature distribution
Viscosity
Wall temperature
hydrodynamic instability
critical Reynolds number
thermoviscous fluid
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Summary:In this work we study the effect of the exponential temperature dependence of the incompressible fluid viscosity on the critical parameters of the flow hydrodynamic stability in a flat channel at various specified values of the wall temperature. The temperature field perturbations are thought to be absent. The eigenvalue spectra for the generalized Orr-Sommerfeld equation are constructed at sufficiently large Peclet numbers. The spectra structure, neutral stability curves, and the critical Reynolds number are shown to largely depend on the fluid properties that are determined by the exponential viscosity function.
ISSN:0015-4628
1573-8507
DOI:10.1134/S0015462819070073