Three-dimensional supersonic flow around a pointed body with upstream energy supply

The effect of a local source of energy on a three-dimensional supersonic flow and the aerodynamic characteristics of a pointed ogival body is numerically studied. The results obtained show that the position of the local source of energy upstream of the body on the axis or its deviation from the axis can affect significantly the aerodynamic characteristics of the body (drag, lift, and pitching moment) and the flight trajectory of the vehicle. Institute of Theoretical and Applied Mechanics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090. Translanted from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 39, No. 5, pp. 116–121, September–October, 1998.     

Investigation of supersonic three-dimensional flow past pointed axisymmetric bodies

The flow pattern near bodies of revolution with very long cylindrical and pointed nose sections is studied in the framework of an ideal gas model by means of a numerical method based on MacCormack's difference scheme. The existence of internal shock waves, oriented in both the longitudinal and the transverse directions, in the shock layer is established. The variation of the aerodynamic coefficients of the configuration with its length, angle of attack, and free stream Mach number is investigated. The calculated and experimental data are compared, and the connection between the flow parameters on the body surface and the position of the separation line of the boundary layer on its lateral face is established. A method of calculating the influence of the boundary layer on the values of the aerodynamic coefficients of bodies of revolution of large aspect ratio at small angles of attack is proposed. Axisymmetric flow near blunt bodies has been studied in detail in [1].Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 127–133, September–October, 1986.The author expresses his gratitude to A. N. Pokrovskii for his help in calculating the boundary layer parameters on the surfaces of the considered configurations.     

Vibrations of slender bodies at high angle of attack in supersonic flow

The method of curved bodies [1] is extended to the case of arbitrary angle of attack within the framework of the law of plane sections [2].     

Study of laminar boundary layer separation on a cone at an angle of attack

Experimental data are obtained on the position of the line of separation as a function of angle of attack, cone apex angle, and flow Mach number.     

Supersonic flow past a sharp cone oscillating about a zero angle of attack

Supersonic perfect gas or equilibrium dissociated air flow past a sharp circular cone oscillating about a zero angle of attack is considered at small Strouhal numbers. The distribution of the gasdynamic parameters in the flow is found within the framework of the linear theory of finite-thickness bodies. The domain of the determining parameters for which the effect of equilibrium dissociation is substantial is found. The pitch moment coefficient related to the angular velocity of vibration is determined. Analytic expressions are derived for the gasdynamic characteristics at hypersonic flow velocities. Moscow. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 6, pp. 124–136, November–December, 1998.     

Singularities of supersonic flows around pointed bodies with a detached shock

Results are presented of a numerical investigation of the axisymmetric flow around a family of bodies with a pointing angle for which the shock is detached. It is shown that the supersonic part of the stream remains the same for all bodies of the family for a fixed value of M despite the fact that the shaper of the subsonic zone is related quite strongly to the pointing angle _*. The dependence of the shock standoff and its radius of curvature on the spreading line on the body shape is studied. Effects inherent in flows around sharply pointing bodies are discussed. A dimensionless parameter characterizing each body of the family under consideration is introduced and used to establish general flow regularities. Data illustrating the possibility of applying such parametrization are analyzed for a wider class of pointing bodies.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 111–115, July–August, 1975.     

Velocity field near a wing—Fuselage combination at an angle of attack in a supersonic stream

To investigate interference between the wing and fuselage at supersonic flight velocities, one can, besides numerical methods based on the exact equations of motion, make effective use of the theory of small perturbations [1]. This is the direction adopted, in particular, in [2–4], in which the problem is solved in the framework of linear theory. In [5], the results obtained in the first approximations are corrected by taking into account the following term in the expansion of the potential function in a series in a small parameter. The present paper considers the velocity field near an arbitrarily profiled wing with supersonic edges and the features due to the presence of the fuselage. A general expression is found for the singular term of the asymptotic expansion of the solution of the linear equation in the neighborhood of the Mach cone with apex at the point of intersection of the leading edge of the wing with the surface of the fuselage. A uniformly exact solution for the linear differential equation for the additional velocity potential is constructed. The position and intensity of the shock wave on the upper surface of the wing are determined. Analytic dependences and quantitiative estimates are obtained for the local downwashes below the wing in the region of the flow where the linear theory leads to the largest errors. The obtained results are important for the correct determination of the aerodynamic characteristics of aircraft in the three-dimensional velocity field produced by the wing-fuselage combination.Translated from Izvestlya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 136–148, November–December, 1980.I am grateful to M. F. Pritulo for discussing the results of the work.