Geodesic
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
Čelâbinskij fiziko-matematičeskij žurnal, Tome 4 (2019) no. 3, pp. 345-354

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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. 
@article{CHFMJ_2019_4_3_a6,
     author = {Yu. A. Mokin and S. T. Kalashnikov and R. K. Shvaleva},
     title = {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},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
     pages = {345--354},
     publisher = {mathdoc},
     volume = {4},
     number = {3},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2019_4_3_a6/}
}
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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. Čelâbinskij fiziko-matematičeskij žurnal, Tome 4 (2019) no. 3, pp. 345-354. http://geodesic.mathdoc.fr/item/CHFMJ_2019_4_3_a6/