Power bodies of minimum resistance in a gas flow
https://doi.org/10.18384/2310-7251-2022-4-17-34
Abstract
Aim. For a blunt body of revolution with a power generatrix and spherical, parabolic, and hyperbolic bluntnesses, we calculate the drag force in a gas flow.
Methodology. We determine the degree of minimum resistance and the bluntness radius in the generatrix of the body as functions of the elongation in a wide range of Reynolds numbers.
Results. For a blunt body of revolution with a power generatrix and spherical, parabolic, and hyperbolic bluntnesses, the drag force in a high-speed rarefied gas flow is calculated based on several local gas flow models.
Research implications. The results obtained in this work are of great importance for optimizing the aircraft geometry.
Keywords
Supporting agencies: This work was supported by Russian Foundation for Basic Research (Grant No. 20-08-00790).
About the Authors
S. L. Gorelov
Moscow Institute of Physics and Technology
Russian Federation
Russian Federation
Sergey L. Gorelov – Dr. Sci. (Phys.-Math.), Prof., Department of Computer Modeling
Institutskii per. 9, Dolgoprudnyi 141701, Moscow Region
V. L. Nguyen
Moscow Institute of Physics and Technology
Russian Federation
Russian Federation
Van Lam Nguyen – Postgraduate Student, Department of Computer Modeling
Institutskii per. 9, Dolgoprudnyi 141701, Moscow Region
References
1. Newton I. Matematicheskie nachala natural'noi filosofii [Mathematical principles of natural philosophy]. Moscow, Nauka Publ., 1989. 688 p.
2. Chernyi G. G. Techenie gaza s bol'shoi sverkhzvukovoi skorost'yu [Course of gas with a high supersonic speed]. Moscow, Fizmatgiz Publ., 1959. 220 p.
3. Krayko A. N., Pudovkin D. E., Yakunina G. E. Teoriya aerodinamicheskikh form, blizkikh k optimal'nym [Theory of close-to-optimal aerodynamic forms]. Moscow, Yanus-K Publ., 2001. 132 p.
4. Miele A. Teoriya optimal'nykh aerodinamicheskikh form [Theory of optimum aerodynamic shapes]. Moscow, Mir Publ., 1969. 508 p.
5. Lunev V. V. Giperzvukovaya aerodinamika [Hypersonic aerodynamics]. Mosocw, Mashinostroyeniye Publ., 1975. 328 p.
6. Ostapenko N. A., Yakunina G. E. [Least-drag bodies moving in media subject to locality hypothesis]. In: Izvestiya Rossiyskoi akademii nauk. Mekhanika zhidkosti i gaza [Fluid Dynamics], 1992, no. 1, pp. 95–106.
7. Chernous'ko F. L., Banichuk N. V. Variatsionnye zadachi mekhaniki i upravleniya [Variational problems of mechanics and control]. Moscow, Nauka Publ., 1973. 240 p.
8. Bunimovich A. I., Yakunina G. E. [Investigation of the shape of the transverse contour of a conical spatial body of minimal resistance moving in a rarefied gas]. In: Izvestiya Akademii nauk SSSR. Mekhanika zhidkosti i gaza [Fluid Dynamics], 1986, no. 5, pp.112–117.
9. Yakunina G. E. [On the construction of optimal spatial forms within the framework of the local interaction model]. In: Prikladnaya matematika i mekhanika [Journal of Applied Mathematics and Mechanics], 2000, no. 64, no. 2, pp. 299–310.
10. Takovitskiy S. A. [Analytical solution to the wave-drag minimization problem for an axisymmetric fore-body using local linearization]. In: Prikladnaya matematika i mekhanika [Journal of Applied Mathematics and Mechanics], 2018, vol. 82, no. 6, pp. 775–788. DOI: 10.31857/S003282350002741-5.
11. Blagosklonov V. I., Grodzovskiy G. L. [Axisymmetric flow past power-law bodies of revolution at supersonic velocities of the oncoming flow]. In: Uchenye zapiski TSAGI [Scientific Notes of Central Aerohydrodynamic Institute], 1974, vol. V, no. 6, pp. 6–22.
12. Gorelov S. L., Nguyen V. L. [Rotation body of minimal aerodynamic drag in hypersonic rarefied gas flow]. In: Trudy MAI (setevoe nauchnoe izdanie) [Electronic journal “Trudy MAI”], 2020, no. 113. Available at: https://trudymai.ru/published.php?ID=117962 (accessed: 22.09.2022). DOI: 10.34759/trd-2020-113-4.
13. Barantsev R. G. Vzaimodeistvie razrezhennykh gazov s obtekayemymi poverkhnostyami [The interaction of sparse gases with streamlined surfaces]. Moscow, Nauka Publ., 1975. 342 p.
14. Galkin V. S., Erofeev A. I., Tolstykh A. I. [An approximate method for calculating the aerodynamic characteristics of bodies in a hypersonic rarefied gas flow]. In: Trudy TSAGI [Proceedings of Central Aerohydrodynamic Institute], 1977, Iss. 1833, pp. 6–10.
15. Gusev V. N., Kogan M. N., Perepukhov V. A. [On the similarity and change of aerodynamic characteristics in the transition region at hypersonic flow velocities]. In: Uchenye zapiski TSAGI [Scientific Notes of Central Aerohydrodynamic Institute], 1970, vol. 1, no. 1, pp. 24–33.
16. Gorelov S. L., Nguyen V. L. [Blunted axisymmetric body with a minimal resistance in a hypersonic rarefied gas flow]. In: Trudy MFTI [Proceedings of MIPT – Proceedings of Moscow Institute of Physics and Technology (National Research University)], 2021, vol. 13, no. 1 (49), pp. 96–107. DOI: 10.53815/20726759_2021_13_1_96.
17. Gorelov S. L., Nguyen V. L. [Heat flux at a critical point of axisymmetric bodies of minimum resistance]. In: Vestnik Moskovskogo gosudarstvennogo oblastnogo universiteta. Seriya: Fizika-Matematika [Bulletin of the Moscow Region State University. Series: Physics and Mathematics 2021], no. 4, pp. 43–53. DOI: 10.18384/2310-7251-2021-4-43-53.
Review
Views:
202
Email this article 