Numerical modeling of sphere flow-around by high-energy gas flow

Аuthors

Gribinenko D. V.

Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia

e-mail: dgribinenko@gmail.com

Abstract

The article considers the problem of 1 cm diameter sphere flow-around by the highenergy airflow with dissociation-recombination reactions progress in it in a broad range of Mach numbers. This problem is of particular interest sinct the high-temperature effects affect the flow characteristics at higher Mach number values. Numerical simulation of the said problem was being accomplished employing the Universe2D two-dimensional code, which realized a numerical method of simulating the supersonic turbulent flow with account for non-equilibrium chemical kinetics for flat and axisymmetric cases. This method is based on solving the Navier-Stokes equations for compressible liquids combined with non-equilibrium chemical kinetics model based on twenty-three chemical reactions. The mathematical model utilizes the Menter’s Shear Stress Transport (SST) turbulence model to account for turbulent effects. The flow operation conditions correspond to the altitude of 10 km as per the standard atmosphere. The Mach number values varied from 2 to 20. As the result of the performed simulation, the flow fields were obtained. The results for the flow at M = 20 were presented as the most ostensive case. The reference data being employed for comparison contains information on drag coefficient as well as distance between the shockwave and the wall in the vicinity of the stagnation point. The article demonstrates that for the given flow modes the friction drag is negligible compared to the pressure drag. Thus, the drag coefficient was being computed based exclusively on the pressure field integrating. The obtained results are in good agreement with the experimental data. The presented work has shown that Universe 2d computational code is capable of modeling external high-energy flows with account for dissociation and recombination chemical reactions in the operational medium.

Keywords:

supersonic flow, mathematical modeling, external flow

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