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Features of Laminar-Turbulent Transition for the Coolant Flow in a Plane Heat-Exchanger Channel

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Abstract

The presented work is devoted to one problem of hydrodynamic stability of a thermoviscous fluid. The stability of the flow of a 45\(\%\) aqueous solution of propylene glycol in a plane channel with a linear temperature distribution was considered. The solution of the obtained generalized Orr-Sommerfeld equation was carried out using the spectral method of expanding the sought functions in terms of the first kind Chebyshev polynomials. As a result of calculations, the distributions of eigenvalues were constructed for different parts of the curve of the dependence of viscosity on the temperature of the liquid under consideration, in each case the critical Reynolds numbers and eigenfunctions were determined. It was found that taking into account the dependence of the viscosity on the temperature of the liquid leads to an increase in the region of unstable flow regimes in the channels of heat exchangers.

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Funding

The work was supported by the state budget funds for the state assignment for 2019-2022 (0246-2019-0052).

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Authors and Affiliations

  1. Mavlyutov Institute of Mechanics, Ufa Centre of the Russian Academy of Sciences, 450054, Ufa, Bashkortostan, Russia

    A. D. Nizamova & S. F. Urmancheev

  2. Ufa State Aviation Technical University, 450008, Ufa, Bashkortostan, Russia

    R. D. Murtazina

  3. Bashkir State University, 450008, Ufa, Bashkortostan, Russia

    V. N. Kireev

Authors
  1. A. D. Nizamova
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  2. R. D. Murtazina
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  3. V. N. Kireev
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  4. S. F. Urmancheev
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Corresponding authors

Correspondence to A. D. Nizamova, R. D. Murtazina, V. N. Kireev or S. F. Urmancheev.

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(Submitted by D. A. Gubaidullin)

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Nizamova, A.D., Murtazina, R.D., Kireev, V.N. et al. Features of Laminar-Turbulent Transition for the Coolant Flow in a Plane Heat-Exchanger Channel. Lobachevskii J Math 42, 2211–2215 (2021). https://doi.org/10.1134/S1995080221090249

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  • DOI: https://doi.org/10.1134/S1995080221090249

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