Abstract:
An algorithm is proposed for calculating the parameters of weak shock waves at large distances from their origination. In chosen meridional planes, the parameters of the near field of the three-dimensional flow are used to determine the streamwise coordinates of “phantom bodies” by linear relations. When the initial body is replaced by a system of “phantom bodies” for which discrete values of the Whitham function are found, the far-field parameters are calculated by the Whitham theory, independently in each meridional plane. Results calculated for a body with axial symmetry and for bodies with spatial symmetry are presented.
Keywords:
supersonic flow, spatial flows, shock waves, sonic boom, combined method, linear theory, Whitham theory.
Citation:
A. V. Potapkin, D. Yu. Moskvichev, “Calculation of shock-wave parameters far from origination by combined numerical-analytical methods”, Prikl. Mekh. Tekh. Fiz., 52:2 (2011), 15–26; J. Appl. Mech. Tech. Phys., 52:2 (2011), 169–177
\Bibitem{PotMos11}
\by A.~V.~Potapkin, D.~Yu.~Moskvichev
\paper Calculation of shock-wave parameters far from origination by combined numerical-analytical methods
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2011
\vol 52
\issue 2
\pages 15--26
\mathnet{http://mi.mathnet.ru/pmtf1456}
\elib{https://elibrary.ru/item.asp?id=16227875}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2011
\vol 52
\issue 2
\pages 169--177
\crossref{https://doi.org/10.1134/S0021894411020027}
Linking options:
https://www.mathnet.ru/eng/pmtf1456
https://www.mathnet.ru/eng/pmtf/v52/i2/p15
This publication is cited in the following 12 articles:
A. V. Potapkin, D. Yu. Moskvichev, “Effect of Local Heat Supply into Supersonic Incoming Flow Ahead of Thin Body with Disk on Intensity of Weak Far-Field Shock Waves”, J. Engin. Thermophys., 33:3 (2024), 566
A. V. Potapkin, D. Yu. Moskvichev, “The influence of local heating of incident flow on level of sonic boom from thin body in wind shadow behind a disk”, Tech. Phys. Lett., 47:11 (2021), 810–813
A. V. Potapkin, D. Yu. Moskvichev, “A sonic boom from a thin body and local heating regions of an incoming supersonic flow”, Tech. Phys., 66:5 (2021), 648–657
A. V. Potapkin, D. Yu. Moskvichev, “The dependence of a sonic boom on the relative positions of bodies in a supersonic flow”, Tech. Phys. Lett., 46:3 (2020), 295–298
A. V. Potapkin, D. Yu. Moskvichev, HIGH-ENERGY PROCESSES IN CONDENSED MATTER (HEPCM 2019): Proceedings of the XXVI Conference on High-Energy Processes in Condensed Matter, dedicated to the 150th anniversary of the birth of S.A. Chaplygin, 2125, HIGH-ENERGY PROCESSES IN CONDENSED MATTER (HEPCM 2019): Proceedings of the XXVI Conference on High-Energy Processes in Condensed Matter, dedicated to the 150th anniversary of the birth of S.A. Chaplygin, 2019, 030101
A. V. Potapkin, D. Yu. Moskvichev, “Sonic boom mitigation by means of incident flow heating”, Tech. Phys. Lett., 45:5 (2019), 515–518
D Yu Moskvichev, A V Potapkin, “Gas-dynamic factors controlling the level of the sonic boom generated by two bodies in a supersonic flow”, J. Phys.: Conf. Ser., 1404:1 (2019), 012090
V. I. Zvegintsev, A. V. Potapkin, “The aeroballistic technique for studying sonic-boom characteristics”, Thermophys. Aeromech., 25:3 (2018), 321
A. V. Potapkin, D. Yu. Moskvichev, “Sonic boom generated by a slender body aerodynamically shaded by a disk spike”, Shock Waves, 28:6 (2018), 1239
A. V. Potapkin, D. Yu. Moskvichev, AIP Conference Proceedings, 1893, 2017, 030156
A. V. Potapkin, D. Yu. Moskvichev, “Reduction of the sonic boom level by heating the flow in front of the body”, Shock Waves, 24:4 (2014), 429
A. V. Potapkin, D. Yu. Moskvichev, “Controlling the sonic boom from a thin body by means of local heating of the incoming flow”, Shock Waves, 23:6 (2013), 649
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