Aerospace Technic and Technology

Article is devoted to end-to-end solution of a problem of reliability and reliability of data on distribution of static pressure to surfaces of a head part of a missile M-100 aerophysical system in the range of Reynolds numbers of a flow , Mach numbers , an acceleration  in flight conditions on a flight trajectory in the presence of aerodynamic heating, compressibility of a flow, effect of impact on the boundary layer of the operating engines by overcoming a problem of scale effects on the basis of the numerical solution of the equations of Navier-Stokes within a software product of ANSYS CFX and a flight experiment on a head part of a  M-100 object. The problem of scale effects in aerodynamics of big speeds is discussed, the conclusion is drawn on special value of flight experiments in case of a trance- super- and hypersonic speeds, the review of algebraic, semi-differential and differential models of turbulence is provided and the conclusion is drawn on feasibility of use of model of turbulence of Menter. Calculation of static pressure on a head part of an object M-100 on the basis of the numerical solution of the equations of Navier-Stokes for the turbulent hyperacoustic mode of a flow is carried out. Good coordination of results of numerical calculation of static pressure and flight data. The comparative settlement data on pressure received by authors on the basis of some other methods are provided.

Trimpi, R. L. Modern fluid dynamics of supersonic and hypersonic flight. AIAA Paper, 1980, no. 80–0862, 1981, no. 10, pp. 1-13.

Hunt, I. L., Jonston, P. I, Cubboge, I. M. at all. Hypersonic airbreathing missile concepts under study at Langley. AIAA Paper,1982, no. 316, pp. 19-31.

Pavlyuchenko, A. M., Bragin, O. A., Tjutin, A. A. Letnye izmereniya temperatury i davleniya na spasaemykh golovnykh chastyakh meteoraket tipa M100 i «Oblako» [Flight measurements of temperature and pressure on the rescued head parts of M100 and "Cloud" meteorockets]. Izv. SO AN SSSR: Ser. Texn. Nauk, 1983, no. 3, vol. 1, pp. 46-54.

Zobi, E. V. Analiz poluchennykh vo vtorom polete KLAMI «Speys Shattl» eksperimental'nykh dannykh po teplovym potokam i perekhodu ot laminarnogo k turbulentnomu sloyu [The analysis of the experimental data received in the second flight of Space Shuttle on thermal streams and transition from laminar to a turbulent layer]. Aerokosmicheskaya tekhnika, 1984, vol. 2, no. 3, pp. 110-118.

Erlich, E. Probing in flight the boundary layer of the supersonic airplane Mirage – IV. La Rech. Aerospac, 1968, no. 122, pp. 1-19.

Pavlyuchenko, A. M., Stycyuk, V. I., Bragin, O. A. Modelirovanie ae'rodinamicheskogo nagreva i vibracij osesimmetrichnyx tel pri na osnove fizicheskogo experimenta i raschetov na EVM [ Modeling of aerodynamic heating and vibrations of axisymmetric bodies at on the basis of a physical experiment and calculations on computers]. Izvestiya SO AN SSSR: Ser Texn. Nauk, 1983, no. 13, vol. 3, pp. 10-16.

Zobi, E. V., Grejvs, R. A. Sopostavlenie rezul'tatov raschetov turbulentnykh techeniy razlichnymi metodami s dannymi izmereniy teplootdachi v laboratornykh i letnykh ispytaniyakh [Comparison of results of calculations of turbulent flows by various methods with data of measurements of heat emission in laboratory and flight researches]. Raketnaya tekhnika i kosmonavtika, 1977, vol. 15, no. 7, pp. 7-21.

Pavlyuchenko, A. M. Laminar – turbulent transition, relaminarization, separated flows, interaction of transition and separation on rocket cones two types in trajectory flight at , , a < 32g. Proc. of Int. Conf. on the Meth. Aerophys. Research. Pt. III. Novosibirsk: Inst. of Theor. and Appl. Mechanics, Sibirian Branch of the Russia Academy of Sci., Novosibirsk, 1998, pp. 213-230.

Pavluchenko, A. M. Heat Transfer and Skin Friction of Axisymmetric Objects Under Real Conditions for . Heat Transfer. Soviet Research, 1993, vol. 25, no. 3, pp. 329.

Pavlyuchenko, A. M., Tyutin, A. A., Korablev, A. V. Teploobmen na meteorakete tipa «Oblako» pri nalichii otryva pogranichnogo sloya [Heat exchange on the "Cloud" meteorocket in the presence of boundary layer separation]. Izv. SO AN SSSR: Ser. Tekhn. Nauk, 1984, vol. 1, no. 4, pp. 52-60.

Pavlyuchenko, A. M., Bragin, O. A., Tuchkov, G. A. Aerofizicheskie eksperimenty na meteorakete tipa M-100 v usloviyakh otryva turbulentnogo pogranichnogo sloya pered stupen'koy [Aero physical experiments on the M-100 meteorocket in the conditions of a separation of a turbulent boundary layer before a step]. Izv. SO AN SSSR: Ser. Texn. Nauk, 1987, vol. 2, no. 7, pp. 71-79

Pavlyuchenko, A. M., Bragin, O. A. Issledovanie aerofizicheskikh i dinamicheskikh kharakteristik na letnom osesimmetrichnom komplekse s golovnoy chast'yu mnogorazovogo ispol'zovaniya [Research of aero physical and dynamic characteristics on a flight axisymmetric complex with head part of reusable use]. Sibirskiy fiz.- tekhn. zhurnal, 1992, vol. 1, pp. 66-78.

Pavluchenko, A. M. Heat Transfer and Characteristics Axisymmetric Rocket Nose Cones with Separationless and Separated Flows. Heat Transfer Research, 1984, vol. 4, no.4, pp. 329 -337.

Beckwith, I. E., Bertram, M. H. A Survey of NASA Lengley studies on high-speed transition and the quiet tun¬nel. NASA–TM–X–2566, 1972, pp. 67.

Snodgrass, R. B. Poletnye ispytaniya po opredeleniyu aerodinamicheskogo nagreva i tochki perekhoda laminarnogo pogranichnogo sloya v turbulentnyy na nosovoy konicheskoy chasti rakety «Viking-10» [Flight tests by definition of aerodynamic heating and a point of transition of a laminar boundary layer in turbulent on nasal conic part of the Viking-10 rocket]. Voprosy raketnoy tekhniki, 1957, no. 1, pp. 28-39.

Leontjev, A. I. Gradient Criteria of Transition, Relaminarization and Friction Drag in Supersonic Boundary Layers in Flying Objects at Heat Transfer. Proc. of the 10-th Int. Heat Transfer Conf. Brighton, 1994, vol. 3, pp. 41.

Trokmorton, D. A., Zobi, E. V. Analiz rezul'tatov izmereniy teplovykh potokov na podvetrennoy storone orbital'nogo spuskaemogo apparata [The analysis of results of measurements of thermal streams on lee side of the orbital lander]. Aerokosmicheskaya tekhnika. 1984, vol. 2, no. 11, pp. 51-58.

Trokmorton, D. A., Khartung, L. K. Nagrev navetrennoy storony kryla orbital'noy stupeni, obuslovlennyy vzaimodeystviem skachkov uplotneniya [The heating of a windward side of a wing of an orbital step caused by interaction of jumps of consolidation]. Aerokosmicheskaya tekhnika, 1986, vol. 2, no. 9, pp. 34-45.

Pavlyuchenko, A. M. Ob e'ffektivnosti teorii pyaten E'mmonsa v zone laminarno-turbulentnogo perexoda v sverxzvukovyx pogranichnix sloyax pri nalichii teploobmena i poristogo otosa [About efficiency of the theory of spots of Emmons in a zone of laminar and turbulent transition in supersonic boundary layeres in the presence of heat exchange and a porous suction]. Novosibirsk, Preprint, ITPM SO RAN Publ., 1992, no. 20-92, p. 35.

Leont'ev, A. I., Pavlyuchenko, A. M. K obobshheniyu modeli tur-bulentnyx pyaten E'mmonsa dlya oblasti laminarno-turbulentnogo perexoda pri nalichii teplo- i mas-soobmena v letnyx i nazemnyx uslovi¬yax [Generalization of the Emmons turbulent spot model for the laminar-turbulent transition region in the presence of heat and mass transfer in flight and terrestrial conditions]. Teplofizika i aeromexanika. 1997, vol. 4, no. 4, pp. 353–367.

Pavlyuchenko, A. M. Chislennyj metod obrabotki letnogo teplovogo eksperimenta na meteorakete tipa "Oblako” s uchetom teorii turbulentnyx pyaten E'mmonsa [Numerical method of processing of a flight thermal experiment on the meteorocket of type "Cloud" taking into account the theory of turbulent spots of Emmons]. Izv. SO AN SSSR. Ser. texn. Nauk, 1983, vol. 2, no. 8, pp. 27–35.

Leont'ev, A. I., Pavlyuchenko, A. M. Laminarno-turbulentnyy perekhod v sverkhzvukovykh pogranichnykh sloyakh na letnom osesimmetrichnom aerofizicheskom komplekse i na modeli v sverkhzvukovoy trube pri nalichii teploobmena i otsosa vozdukha [Laminar and turbulent transition in supersonic boundary layeres on a flight axisymmetric aero physical complex and on model in a supersonic tube in the presence of heat exchange and a suction of air]. Teplofizika vysokikh temperature, 2008, vol. 46, no. 4, pp. 596-622.

Leont'ev, A. I., Pavljuchenko, A. M. K probleme relaminarizatsii sverkhzvukovykh turbulent¬nykh pogranichnykh sloev na osesimmetrichnykh telakh v letnykh usloviyakh pri nalichii teploobmena [To a problem of a relaminarization of supersonic boundary layeres on axisymmetric bodies in flight conditions in the presence of heat exchange]. Teplofizika vysokikh temperatur, 2004, vol. 42, no. 5, pp. 725-739.

Maksimova, E. M., Pavlyuchenko, A. M. Sravnenie raschetnykh i letnykh dannykh po teploobmenu dlya osesimmetrichnykh tel, dvizhushchikhsya po traektorii pri [Comparison of settlement and flight data on heat exchange for the axisymmetric bodies moving on a trajectory at ]. Izv. SO AN SSSR: Ser. tekhn. Nauk, 1982, vol. 3, no. 13, pp. 40-52.

Various articles on the X-15 program. Aviation Week. – 75,52 (November 20, 1961); 75,60 (November 27, 1961); 77, 35 ( August 13, 1962); 78,38 (June 10, 1963).

Plattner, C. M. XB-70A Flight Research, Pat.2. Aviation Week., 84, 60 (June 13, 1966).

Pavlyuchenko, A. M., Shijko, A. N. Do problemi rozrakhunku teploobmіnu і oporu tertya nadzvukovikh osesimetrichnikh ob’єktіv v umovakh pratsyuyuchikh dvigunіv RDTP za nayavnostі v pristіnnomu prikordonnomu sharі lamіnarno-turbulentnogo perekhodu, efektu stislivostі і neіzotermіchnostі [To a problem of calculation of heat exchange and resistance of friction of supersonic axisymmetric objects in the conditions of the working JESF (jet engine of solid fuel) engines in the presence in a boundary layer of laminar and turbulent transition, effect of compressibility and heating]. Sistemi ozbroєnnya і vіys'kova tekhnіka, 2013, vol. 4 (36), pp. 107-120.

Kolobov, B. P., Kuznetsov, B. G., Popkov, A. N. Paket programm dlya nauchnykh issledovaniy v oblasti aerodinamiki i gidrodinamiki [The software package for scientific researches in the field of aerodynamics and hydrodynamics]. Voprosy razrabotki i ekspluatatsii paketov prikladnykh program, Novosibirsk, ITPM SO AN SSSR Publ., 1981, pp. 3-32.

Khemsh, M., Nil'sen, D. Aerodinamika raket. Kn. 2. Metody aerodinamicheskogo rascheta [Aerodynamics of rockets. Book 2. Methods of aerodynamic calculation]. Moskow, Mir Publ., 1989. 510 p.

Patankar S. Teplo- i massoperenos v pogranichnix sloyax [Heat- and a masstransfer in boundary layeres]. Moskou, Energiya Publ, 1971. 128 p.

Aleksin, V. A., Sovershennyj, V. D. Chislennyj raschet turbulentnogo pogranichnogo sloya s rezkim izmeneniem granichnyx uslovij [ Numerical calculation of a turbulent boundary layer with sharp change of boundary conditions]. Turbulentnye techeniya, Moskou, Nauka Publ., 1977, pp. 55-63.

Safarov, R. A., Tirskij G. A. Primenenie fenomenologicheskix modelej k issledovaniyu turbulentnyx pogranichnyx sloev odnorodnogo i neodnorodnogo gazovov [Application the fenomology models to a research of turbulent boundary layeres of uniform and non-uniform gases] Turbulentnye techeniya, Moskow, Nauka Publ., 1977, pp. 42- 64.

Garbaruk, A. V., Lapin, Yu. V., Strelec, M. X. Prostaya algebraicheskaya model' turbulentnosti dlya rascheta turbulentnogo pogranichnogo sloya s polozhitel'nym perepadom davleniya [Simple algebraic model of turbulence for calculation of a turbulent boundary layer with positive pressure difference]. Teplofizika vysokix temperature, 1999, vol. 37, no. 1, pp. 87- 98.

Chepmen, D. R. Vychislitel'naya aerodinamika i perspektivy ee razvitiya [Computing aerodynamics and prospects of her development]. Raketnaya tekhnika i kosmonavtika, 1980, vol. 18, no. 2, pp. 3-32.

Kutler, P. Perspektivy razvitiya teoreticheskoy i prikladnoy vychislitel'noy aerodinamiki [Prospects of development of theoretical and applied computing aerodynamics]. Aerokosmicheskaya tekhnika, 1985, vol. 3, no. 8, pp. 11-29.

Temam, R. Uravnenie Nav'e-Stoksa. Teoriya i chislennyy analiz [Navier-Stokes's equation. Theory and numerical analysis]. Moskow, Mir Publ., 1981. 408 p.

Kovenya, V. M., Yanenko, N. N. Metod rasshchepleniya v zadachakh gazovoy dinamiki [Splitting method in problems of gas dynamics]. Novosibirsk, Nauka Publ., 1981. 304 p.

Borisov, A. V. Chislennoe modelirovanie sverxzvukovyx otryvnyx turbulentnyx techenij [Numerical modeling of supersonic detachable turbulent flows]. Prikladnaya mexanіka i texnicheskaya fizika, 1996, vol. 37, no. 4, pp. 89-97.

Menter, F. R. Zonal Two Equation k- Turbulence Models for Aerodynamic Flows. AIAA Paper, № 93-2906, 1993, pp. 21.

Shlixting, G. Teoriya pogranichnogo sloya [Boundary layer theory]. Moskou, Nauka Publ., 1969. 742 p.

Zheltovodov, A. A., Borisov, A. V., Fedorova, N. N. i dr. Razvitie i verifikaciya metodov rascheta primenitel'no k zadacham sverxzvukovoj ae'rodinamiki [Development and verification of methods of calculation in relation to problems of supersonic aerodynamics]. Preprint no. 7 – 87. ITPM SO RAN Publ., 1997. 42 p.

Prixod'ko, A. A. Sovremennye texnologii matematicheskogo modelirovaniya v ae'rogidrodinamike i teplomassoobmene [Modern technologies of mathematical modeling in aerohydrodynamics and a heatmass exchange]. Texnicheskaya mexanika, Dnepropetrovsk, DGU, 2009, no. 9, pp. 73-85.

Hidalgo, H., Kadanoff, L. P. Comparison between theory and flight ablation data. AIAA Journ. 1963, vol. 1, no. 1, pp. 64-80.

Ibraeva, I. I. Issledovanie granic nachala i konca laminarno-turbulentnogo perexoda v pogranichnom sloe v lyotnom e'ksperimente pri vyvedenii raket kosmicheskogo naznacheniya [Research of borders of the beginning and end of laminar and turbulent transition in the boundary layer in flight experiment at removal of rockets of space appointment]. Uchenye zapiski CAGI, 2005, vol. XXXVI, no. 1-2, pp. 70-79.

Yurchenko, I. I., Karakotin, I. N., Kudinov, A. S. Turbulentno-laminarnyj perexod na poverxnosti raket v usloviyax vyvedeniya [Turbulent and laminar transition to surfaces of rockets in the conditions of removal]. Nauka i obrazovanie: E'lektronnyj zhurnal MGTU im. N. E. Baumana, no. 9, 2014, pp. 88-105.

Reda, D. C., Wilder, M. C., Bogdonoff, D. W., Prabhu, D. K. Transition Experiments on Blunt Bodies with Distributed Roughness in Hypersonic Free Flight. Journal of Spacecraft and Rockets, 2008, vol. 45, no. 2, pp. 210-215.

Schneider, S. Laminar-Turbulent Transition on Reentry Capsules and Planetary Probes. Journal of Spacecraft and Rockets, 2006, vol. 43, no. 6, pp. 1153-1173.

Kuntz, D. W., Potter, D. L. Boundary-Layer Transition and Hypersonic Flight Testing. Journal of Spacecraft and Rocket, 2008, vol. 45, no. 2, pp. 184-192.

Frederick, M. A., Banks, D. W., Garzon, G. A., Matisheck, J. R. Flight Tests of a Supersonic Natural Laminar Flow Airfoil [Digital resource]. NASA Technical Reports Server (NTRS), Technical Report. NASA/TM-2015-218940, DFRC-E-DAA-TN28448, ID: 20160000701, Jan. 13, 2016. 29 p.

Zheltukhin, N. A., Pavlyuchenko, A. M. Nauchnye problemy sozdaniya letnogo nauchno-issledovatel'skogo aerofizicheskogo kompleksa [Scientific problems of creation of a flight research aerophysical complex]. Prikladnaya aerogazodinamika i teplovye protsessy: sb. nauch. tr., Novosibirsk, ITPM SO AN SSSR Publ., 1980, pp. 3-22.

Siemers, P. M., Larson, T. J. Space Shuttle Orbiter and Aerodynamic Testing. AIAA Journ., 1980, vol. 18, no. 1, pp. 34-48.

Gerasimov, Yu. A., Grachev, V. S., Kaburov, I. S. Issledovanie obtekaniya kryla samoleta v polete i v ae'rodinamicheskoj trube [Research of a flow of a wing of the plane in flight and in a wind tunnel]. Uchenye zapiski CAGI, 1982, vol. 13, no. 3, pp. 1-11.

Pavlyuchenko, A. M., Shijko, A. N. Teoretichne obgruntuvannya gazodinamіchnoї formuli N'yutona і perevіrka її v l'otnikh umovakh obtіkannya golovnikh chastin ryadu aerofіzichnikh kompleksіv dlya chisel Makha ta Reynol'dsa [Theoretical justification of a gasdynamic formula of Newton and her check in flight conditions at a flow of head parts of a number of aerodynamic complexes for numbers Max and Reynolds ]. Aviatsionno-kosmicheskaya tekhnika i tekhnologiya, 2015, vol. 2 (119), pp. 25-44.

Dudley, C. Future supersonic transport studies at Aerospatiale. SAE Techn. Paper. Ser., 1990, no. 901890, pp. 1-9.

Shmitt, S. O., Wierbanowski, T. J., Jonson, J. The society of experimental test pilots 1987. Report to the aerospace profession. XXXI Symposium proceedings, September 23-26. 1987, pp. 34-56.

Meyer Robert, R. A unique flight test facility: description and result. ICAS Proc. 1982: 13th Congr. Int. Counc. Aeron. Sci.; AIAA Aircraft Syst. and Technol. Conf., Seattle, 1982, vol. 1, s. I, pp. 433-448.

Hamilton, H. H. Approximate method of predicting heating on the windward side of Spase Shattle orbiter and comparison with flight date. AIAA Pap. № 0823.–1982. 14 p. (Astronavtika i raketodinamika. Мoskow, VINITI Publ., no. 30, pp. 19).

Kruglov, B. P. Dostizheniya i problemy sovremennoj aеrodinamiki sverxzvukovyx i giperzvukovyx skorostej [Achievements and problems of modern aerodynamics of supersonic and hypersonic speeds]. ONTI CAGI. Moskow, 1981, no. 10, pp. 1-13.

Frost, U. Turbulentnost'. Principy i primeneniya. [Turbulence. Principles and applications] Moskow, Mir Publ, 1980. 526 p.

Kurbackij, A. F. Modelirovanie nelokal'nogo perenosa impul'sa i tepla [Modeling of notlocal transfer of an impulse and heat]. Novosibirsk, Nauka Publ, 1988. 240 p.

Turbulent flows in the boundary layer, phenomenologi-cal approaches and the new directions in a turbulence research (on materials of a foreign press). Reviews. Translations. Papers, ONTI CAGI Publ., Moskow, 1979, no. 553. 135 p. (In Russian).

Zhigulev, V. N., Tumin, A. A. Vozniknovenie turbulentnosti [Turbulence emergence]. Novosibirsk, Nauka Publ., 1987. 282 p.

Turbulentnye techeniya / Pod redakciej akademika V. V. Struminskogo [Turbulent flows]. Moskow, Nauka Publ., 1977. 253 p.

Lapin, Yu. V. Turbulentnyj pogranichnyj sloj v sverxzvukovyx potokax gaza [Turbulent boundary layer in supersonic streams of gas]. Moskow, Nauka Publ., 1982. 312 p.

Shlixting, G. Vozniknovenie turbulentnosti [Turbulence emergence]. Moskow, Izd-vo inostrannoj literatury Publ., 1962. 201 p.

Kutateladze, S. S., Leont'ev, A. I. Teplomassoobmen i trenie v turbulentnom pogranichnom sloe [Heatmass exchange and friction in turbulent boundary layer]. Moskow, Energiya Publ., 1985. 319 p.

Kolmogorov, A. N. Uravneniya turbulentnogo dvizheniya neszhimaemoj zhidkosti [Equations of the movement of the incompressible liquid]. Izv. AN SSSR. Ser. fiz. n., 1942, vol. 6, no. 1-2, pp. 56-58.

Ievlev, V. M. Turbulentnye dvizheniya vysokotemperaturnyx sploshnyx sred [Turbulent movements of high-temperature continuous environments]. Moskow. Nauka Publ., 1975. 256 p.

Kline, S. J., Reynolds, W. G., Schraub, F. A. The structure of Turbulent Boundary Layers. Journ. Fluid Mech., 1967, vol. 30, pp. 25-37.

Corino, E. R., Brodkey, R. S. A Visual Investigation of the Wall Region in Turbulent Flow. Journ. Fluid Mech., 1969, vol. 37, pp. 52-64.

Kutateladze S. S. Osnovy teorii teploobmena [Bases of the theory of heat exchange]. Moskow, Atomizdat Publ., 1979. 416 p.

Millionshhikov, M. D. Nekotorye problemy turbulentnosti i turbulentnogo teploobmena [Some problems of turbulence and turbulent heat exchange]. Sb. «Turbulentnye techeniya», Moskow, Izd. Nauka Publ., 1974, pp. 5-18.

Cebeci, T., Mosinscis, G., Smith, A. M. Calculation of compressible Adiabetic Turbulent Boundary Layers. AIAA Journ., 1970, vol. 8, no. 11, pp. 21-35.

Herring, H. J., Mellor, G. L. A Method of Calculating Compressible Turbulent Boundary Layers. NASA Paper, 1968, GR-1144.

Viegas, J. R., Coakley, T. J. Numerical Invistigation of Turbulence Models for Shock Separated Boundary-Layer Flows. AIAA Paper, 1974, no. 44, pp. 35-49.

Patancar, S. V., Spolding, D. B. Heat and Mass Transfer in Boundary Layers. Morgan-Grampian, London, 1967. 205 p.

Saffman, P. G., Wilcox, D. C. Turbulence Model Prediction for Turbulent Boundary Layers AIAA Journ., 1974, vol. 12, pp. 541-546.

Maise, G., McDonnald, H. Mixing Length and Kinematic Viscosity in Compressible Boundary Layer. AIAA Journ., 1968, vol. 6, no. 1, pp. 35-57.

Baldwin, B., Lomax, H. Thin Layer approximation and algebraig model for separated turbulent flows. AIAA Paper, 1978, no. 78-257, 559 p.

Sebichi, T. Raschet szhimaemogo turbulentnogo pogranichnogo sloya pri nalichii teplo- i massoobmena [Calculation of the compressed turbulent boundary layer in the presence of warm and a mass exchange ]. Raketnaya texnika i kosmonavtika., 1971, vol. 9, no. 6, pp. 121-129.

Petuxov, B. S. Turbulentnost' v teorii teploobmena [Turbulence in the theory of heat exchange]. Sb. «Teplomassoobmen–IV». Problemnye doklady IV Vsesoyuznoj konferencii po teplomassoobmenu., Part 1, Minsk, 1981, pp. 20-51.

Chen, K. K. Extension of Emmons Spot Theory to flow on Blunt Bodies. AIAA Journ., 1971, vol. 9, no. 5, pp. 821.

Tablicy strel'by oskolochno-fugasnymi reaktivnymi snaryadami M-21OF. Moskow, Voennoe izdatel'stvo ministerstva oborony SSSR Publ., 1975. 96 p.

Labusov, A. N., Lapin, Yu. V. Chetyrex-parametricheskaya dvuxslojnaya algebraicheskaya model' perexodnogo pogranichnogo sloya na ploskoj plastine [Four-parametrical two-layer algebraic model of a transitional boundary layer on a flat plate]. Teplofizika vysokix temperatur, 1996, vol. 34, no. 6, pp. 942-948.

Labusov, A. N., Lapin, Yu. V. Algebraicheskaya model turbulentnogo pogranichnogo sloya na vypukloj krivolinejnoj poverxnosti [Algebraic model of a turbulent boundary layer on a convex curvilinear surface]. Teplofizika vysokix temperature, 2000, vol. 38, no. 3, pp. 458-467.

Prixod'ko A. A. Komp'yuternye texnologii v ae'rogidrodinamike i teplomassoobmene [Computer technologies in aerohydrodynamics and a heatmass exchange]. Kiev, Naukova dumka Publ., 2003. 382 p.

Prixod'ko, A. A., Polevoj, O. V. Primenenie metoda rasshhepleniya i raznostnyx approksimacij povyshennoj tochnosti k chislennomu resheniyu zadach mexaniki zhidkosti i gaza [Application of a method of splitting and differential approximations of the increased accuracy to the numerical solution of problems of mechanics of liquid and gas]. Modelirovanie v mexanike, 1992, vol. 6 (23), no. 3, pp. 108-115.

Pavlyuchenko, A. M., Maksimova, E. M., Popkov, A. N. Chislennyy raschet aerofizicheskikh kharakteristik sverkhzvukovykh osesimmetrichnykh ob"ektov s ispol'zovaniem letnykh dannykh v granichnykh usloviyakh [Numerical calculation of aerophysical characteristics of supersonic axisymmetric objects with use of flight data in boundary conditions]. Modelirovanie v mekhanike: Sb. nauch. tr., Novosibirsk, 1990, vol. 4 (21), no. 1, pp. 136-148.

Prixod'ko, A. N., Polevoj, O. B. Osobennosti rascheta otryvnyx techenij pri interferencii prostranstvennyx skol'zyashhix skachkov uplotneniya i turbulentnogo pogranichnogo sloya [Features of calculation of detachable currents at an interference of the spatial sliding jumps of consolidation and a turbulent boundary layer]. Mexanika zhidkosti i gaza. Metody issledovaniya ae'rotermodinamicheskix xarakteristik giperzvukovyx letatel'nyx apparatov, Moskow, CAGI Pupl., 1992, pp. 166-167.

Prixod'ko, A. A. Chislennoe modelirovanie sverxzvukovyx interferencionnyx techenij na osnove uravnenij Nav'e-Stoksa [Numerical modeling of supersonic interferential currents on the basis of Navier-Stokes's equations]. Modelirovanie v mexanike, 1989, vol. 3(20), no. 5, pp. 145-150.

Garbaruk, A. F., Lapin, Yu. V., Strelec, M. X. Primenenie obratnogo metoda resheniya uravnenij pogranichnogo sloya dlya testirovaniya modelej turbulentnosti [Application of the return method of the solution of the equations of an boundary layer for testing of models of turbulence]. Teplofizika vysokix temperatur, 1998, vol. 36, no. 4, pp. 607-616.

Johnson, D. A., King, L. S. Mathematically Simple Turbulence Closure Model of Attached and Separated Turbulent Boundary Layers. AIAA Journ., 1985, vol. 23, no. 11, p. 1684-1692.

Horton, H. P. Invariant Imbedding Algorithms for Inverse Boundary Layer Problems. Queen Mary and Westfield College. University of London. UK, 1994, QMW-EP1102.

Complex Turbulent Flows. Proc. of the 1980-1981 Stanford – AFOSR – HTTM Conf. on Complex Turbulent Flows. Ed. Kline, S. I., Cantwell, B. I., Lilley, G. M. Stanford: Dept. of Mech. Eng. Stanford Univ, 1981, vol. 1-3, pp. 632, pp. 416, pp. 503.

Rotta, I. C. Turbulent Shear Layer Prediction of the Basis of the Transport Equations for the Reynolds Stresses. Theor. And Apl. Mech. Berlin, 1973, pp. 295-308.

Sekundov, A. N. Primenenie differencial'nogo uravneniya dlya turbulentnoj vyazkosti k analizu ploskix neavtonomnyx techenij [Application of the differential equation for turbulent viscosity to the analysis of flat nonautonomous currents]. Izv. AN SSSR. MZhG, 1971, no. 5, pp. 119.

Spalart, P. R., Allmaras, S. R.. A one-equation turbulence model for aerodynamic flow. La Recherhe Aerospatiale, 1994, no. 1-5, pp. 5-21. DOI: 10.2514/6.1992-439.

Glushko, G. S. Turbulentnyj pogranichnyj sloj na ploskoj plastine v neszhimaemoj zhidkosti [Turbulent boundary layer on a flat plate in incompressible liquid]. Izv. AN SSSR. Mexanika, 1965, no. 4, pp. 13-23.

Jones, W. P., Launder, B. E. The prediction of Laminarization on with a Two-Equation of Model Turbulence. Int. Journ. Heat Mass Transfer, 1972, vol. 5, pp. 301-304.

Jones, W. P., Launder, B. E. The Calculation of Low-Reynolds Number Phenomena a Two-Equatin Model of Turbulence. Int. Journ. Heat Mass Transfe, 1973, vol. 16, pp. 1119-1130.

Knight, D. D., Borisov, A. V., Horstman, C. C., Zheltovodov, A. A., Settles, G. S. The possibilites of numerical simulation of shock waves / boundary layer interaction in supersonic and hypersonic flows. Int. Conf. on the Methods of Aerophys. Research: Proc. Pt.1. Novosibirsk, Russia, August 31 – September 4, 1992, Novosibirsk, 1992, pp. 164-170.

Horstman, C. C., Zheltovodov, A. A. Numerical simulation of shock waves / Expansion fans-turbulent boundary layer interaction. Int. Conf. on the Methods of Aerophys. Research: Proc. Pt.2. Novosibirsk, Russia, August 22 – 26, 1994, Novosibirsk, 1994, pp. 118-125.

Borisov, A. V., Fedorova, N. N. Raschet turbulentnyx otryvnyx techenij na osnove metoda povyshennogo poryadka approksimacii [Calculation of turbulent detachable flows on the basis of a method of the raised approximation order]. Teplofizika i aeromexanika, 1995, vol. 2, no. 3, pp. 253-268.

Leont'ev, A. I., Pavlyuchenko, A. M. K probleme vliyaniya perenosa IK izlucheniya na pole temperatury i ee turbulentnye pul'sacii v opticheski tonkom turbulentnom pogranichnom sloe [To a problem of influence of transfer of radiation in the field of temperature and its turbulent pulsations in optically thin turbulent interface]. Teplofizika i aeromexanika, 1998, vol. 5, no. 4, pp. 451-467.

Pavlyuchenko, A. M., Shijko, A. N. Metody diagnostiki i rezul'taty izmerenij xarakteristik trans,- sverx,- i giperzvukovyx kompleksov razlichnyx tipov v lyotnyx usloviyax [Methods of diagnostics and results of measurements of characteristics a trance, - over, - and hypersonic complexes of various types in flight conditions]. Aviacionno-kosmicheskaya texnika i texnologiya, 2016, no. 3, pp. 68-91.

Anderson, I. D. A survey of modern research in hypersonic aerodynamics. AIAA Pap., 84, no. 1578, pp. 24.

Shiyko, O. M., Polenitsya, P. V., Koplik, I. V. Skladova oporu tisku aerodinamіchnogo koefіtsієntu lobovogo oporu artilerіys'kogo snaryada [Making resistance of pressure of aerodynamic coefficient of front resistance of an artillery shell]. Sistemi ozbroєnnya і vіys'kova tekhnіka, Kharkiv, KhUPS Publ., 2010, no 1, pp. 108-117.

Menter, F. R. Two-Equation Eddy-Viscosity Turbulence Models for Enginiring Applications. AIAA Journ., 1994, vol. 32, no. 8, pp. 1598-1605.

Lampart, P., Yershov, S., Rusanov, A. at al. The comparison of Performance of the Menter Shear Stress Transport and Baldwin–Lomax Models with Respect to CFD Prediction of Losses in HP Axial Turbine. Technologies for Fluid / Thermal / Structural / Chemical Sistems with Industrial Applications. ASME, 2001, vol. 424-2, pp. 1-12.

Bulat, P. V., Zasuxin, O. N., Prodan, N. V. Osobennosti primeneniya modelej turbulentnosti pri raschete techenij v sverxzvukovyx traktax perspektivnyx vozdushno-reaktivnyx dvigatelej [Features of application of models of turbulence when calculating currents in supersonic paths of perspective propulsion jet engines]. Dvigatel, 2012, vol. 79, no. 1, pp. 20-23.

Kalinkevich, N. V., Skorik, A. V. Flow and perfomence investigation of the specially designet channel diffuser of centrifugal compressor. Proceedings of the 8-th International Conference on Compressors and their Systems: 9-10 September 2013, 2013, pp. 489-500.

Kalinkevich, N., Smirnov, A., Obukhov, O., Skorik, A. The design of vaned diffuser of centrifugal compressors based on the given velocity distribution. Proceedings of the 7-th International Conference on Compressors and their Systems, London, UK, 2011, pp. 61-69.

Sheng, Xenki, Duojer. Chislennyj analiz sverxzvukovogo turbulentnogo pogranichnogo sloya na osnove razlichnyx modelej vixrevoj vyazkosti [The numerical analysis of a supersonic turbulent boundary layer on the basis of various models of vortex viscosity]. Raketnaya texnika i kosmonavtika, 1973, vol. 11, no. 12, pp. 34-52