Abstract
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.
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Funding
The research of S.F. Urmancheev and A.D. Nizamova was supported by the State task of 2019–2022, no. 0246-2019-0052. The research of V.N. Kireev was supported by the Russian Foundation for Basic Research, project no. 17-41-020999.
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Russian Text © The Author(s), 2019, published in Prikladnaya Matematika i Mekhanika, 2019, Vol. 83, No. 3, pp. 478–483.
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Kireev, V.N., Nizamova, A.D. & Urmancheev, S.F. Some Features of Hydrodynamic Instability of a Plane Channel Flow of a Thermoviscous Fluid. Fluid Dyn 54, 978–982 (2019). https://doi.org/10.1134/S0015462819070073
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DOI: https://doi.org/10.1134/S0015462819070073