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Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2019, Volume 4, Issue 3, Pages 345–354
DOI: https://doi.org/10.24411/2500-0101-2019-14307
(Mi chfmj149)
 

Mechanics

Estimate of derivatives variance of an aerodynamic rolling moment coefficient with respect to attack and yaw angles of a rotary body with small irregular surface distortions at supersonic flow

Yu. A. Mokinabc, S. T. Kalashnikovab, R. K. Shvalevaba

a Academician V. P. Makeyev State Rocket Centre, Miass, Chelyabinsk Region, Russia
b South Ural Federal Research Centre of Mineralogy and Geoecology of the Ural Branch of RAS, Miass, Chelyabinsk Region, Russia
c Chelyabinsk State University, Chelyabinsk, Russia
References:
Abstract: The paper is devoted to one of acute issues of determination of aerodynamic coefficients of high-speed re-entry vehicles (RVs) of the rotary-body shape with small irregular surface distortions of a composite thermal protection coating, i. e. an issue of assessment of a scale of variance $D\{m_x^\alpha \}$, $D\{m_x^\beta \}$ of derivatives of disturbing aerodynamic rolling moment coefficient $m_x$ with respect to attack and yaw angles versus governing parameters. An analytical integral solution of a set modeled problem for a rotary body with a given autocorrelated function of irregular distortions of its surface is obtained on the basis of Fourier expansion of the surface distortion and a method of differential locality hypothesis used to evaluate pressure variations. The obtained solution is qualitatively analyzed. A curve of practically ultimate values of $m_x^\alpha$, $m_x^\beta$ at $3\sigma\{m_x^\alpha \}$ versus a degree of correlation dependence for the modeled autocorrelated function of irregular surface distortions of a sharp $\thicksim 10^o$-cone is provided.
Keywords: supersonic flow, rotary body, sharp cone, composite thermal protection material, small random surface distortion, small attack angle, aerodynamic rolling moment coefficient.
Received: 28.08.2019
Revised: 12.09.2019
Document Type: Article
Language: Russian
Citation: Yu. A. Mokin, S. T. Kalashnikov, R. K. Shvaleva, “Estimate of derivatives variance of an aerodynamic rolling moment coefficient with respect to attack and yaw angles of a rotary body with small irregular surface distortions at supersonic flow”, Chelyab. Fiz.-Mat. Zh., 4:3 (2019), 345–354
Citation in format AMSBIB
\Bibitem{MokKalShv19}
\by Yu.~A.~Mokin, S.~T.~Kalashnikov, R.~K.~Shvaleva
\paper Estimate of derivatives variance of an aerodynamic rolling moment coefficient with respect to attack and yaw angles of a rotary body with small irregular surface distortions at supersonic flow
\jour Chelyab. Fiz.-Mat. Zh.
\yr 2019
\vol 4
\issue 3
\pages 345--354
\mathnet{http://mi.mathnet.ru/chfmj149}
\crossref{https://doi.org/10.24411/2500-0101-2019-14307}
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  • https://www.mathnet.ru/eng/chfmj/v4/i3/p345
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