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Numerical simulation of supersonic flow past a plate with surface material sublimation

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Thermophysics and Aeromechanics Aims and scope

Abstract

A method of direct numerical simulation and a method of solving the boundary-layer equations were applied to parameters of a supersonic boundary layer for a flow past a flat plate (Mach number M = 2) for the case of a plate coated with a sublimation material. The sublimating material is naphthalene (C10 H8). Comparison of results from these two approaches — numerical simulation and solution of a boundary layer under the assumption on the local self-similarity — demonstrated a satisfactory agreement between them. Calculations demonstrated that a higher surface temperature produces a higher mass rate of evaporation. Meanwhile, the total heat flux to the solid wall decreases and the wall temperature is lower than for the case of zero sublimation. Since the molecular mass of naphthalene is by several times higher than the molecular mass of air and due to evaporation-induced wall cooling, we observe a higher density of the mixture of air with the sublimating substance vapor near the wall. This may facilitate a higher stability of the supersonic boundary layer and delays the flow transition to the turbulent state.

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Authors and Affiliations

  1. Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, Novosibirsk, Russia

    S. A. Gaponov, A. N. Semenov & B. V. Smorodsky

Authors
  1. S. A. Gaponov
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  2. A. N. Semenov
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  3. B. V. Smorodsky
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Correspondence to S. A. Gaponov or B. V. Smorodsky.

Additional information

Research was financially supported by the Russian Foundation for Basic Research (Project No. 18-01-00070-a) and partially supported by the Program for Fundamental Study for the State Academies for 2013–2020 yrs. (Project AAAA-A17-117030610125-7, No. 0323-2018-0009).

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Gaponov, S.A., Semenov, A.N. & Smorodsky, B.V. Numerical simulation of supersonic flow past a plate with surface material sublimation. Thermophys. Aeromech. 27, 81–88 (2020). https://doi.org/10.1134/S0869864320010072

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  • DOI: https://doi.org/10.1134/S0869864320010072

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