Effects of non-monotony of aerodynamic characteristics of a plate in hypersonic rarefied gas flow

DOI: 10.34759/trd-2020-110-9

Аuthors

Vuong V. T.^1*, Gorelov S. L.^2**, Rusakov S. V.^2***

1. Moscow Institute of Physics and Technology (National Research University), 9, Institutskiy per., Dolgoprudny, Moscow region, 141701, Russia
2. Central Aerohydrodynamic Institute named after N.E. Zhukovsky (TsAGI), 1, Zhukovsky str., Zhukovsky, Moscow Region, 140180, Russia

*e-mail: tienbom@mail.ru
**e-mail: gorelovsl@yandex.ru
***e-mail: sv_vidukova@yandex.ru

Abstract

The study of rarefied gas flows allows revealing a number of effects that are not observed in the continuous flows. Despite the fact that the studies in this field are being conducted for more than 50 years, some properties of such flows are far from being well studied. For example, effects of non-monotony of aerodynamic characteristics for a plate in the hypersonic rarefied gas flow by Reynolds numbers have been previously studied in the works [1, 2]. However, behavior of these characteristics depending on different angels of attack has not been studied up to now. Thorough studies of these effects by the direct simulation Monte Carlo (DSMС) technique depending on the key parameters such as Reynolds numbers, angle of attack, temperature factors and temperatures ratio of the plate surfaces were conducted in the presented work. It was revealed that with equal temperatures of the plate sides, the friction coefficients remained non-monotonous up to the angle of attack of 10 degrees, and up to 30 degrees by the pressure coefficient. Based on the obtained calculations, approximate analytical dependences of the coefficients of friction, pressure and lifting force on the angles of attack and temperature factors in a wide range of Reynolds numbers are proposed. These dependencies were applied for aerodynamic characteristics determining for arbitrary shape bodies in the framework of the local interaction hypothesis, and performed comparison demonstrated good conformance with the other authors’ data and experiment. At small angles of attack and different temperatures of the plate sides the lift coefficient changes its sign depending on the Reynolds numbers, and there are values of the angle of attack an temperatures ratio on the plates surfaces, at which the lift coefficient equals to zero.

Keywords:

plate flow-around in a rarefied gas flow, Reynolds number, direct simulation Monte Carlo (DSMС) technique, gas rarefaction effects

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