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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
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
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
Linking options:
https://www.mathnet.ru/eng/chfmj149 https://www.mathnet.ru/eng/chfmj/v4/i3/p345
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Abstract page: | 183 | Full-text PDF : | 101 | References: | 42 |
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