Abstract
The acceleration of monodispersed and polydispersed axisymmetric nozzle flows and their interaction with a sphere are investigated. The formulas given in [1] are applied to the recovery coefficients of velocity components of reflected particles. For the development of a physicomathematical model, semiempirical information on the influence of particle rotation on coefficients of its interaction with a carrier continuous medium, the Magnus force, and the damping torque are taken into account. Numerical investigations are carried out for a characteristic mass spectrum of particles as a set of several fractions [2]. It is demonstrated that the rotation of monodispersed particles leads to the caustic (envelope of paths of reflected particles) moving away from the body in the flow. The algorithm elaborated enables specific details of the mass spectrum of the particles bombarding the body with known thermomechanical properties and coefficients of their interaction with the body surface to be estimated by comparing experimental and numerical results.
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Molleson, G.V. and Stasenko, A.L., The Interaction between Gas-Dynamically Accelerated Particles and a Body Subjected to Flow, Teplofiz. Vys. Temp., 2009, vol. 47, no. 5, p. 712 [High Temp. (Engl. transl.), 2009, vol. 47, no. 5, p. 680].
Vasilevskii, E.B., Kudin, O.K., Nesterov, Yu.N., and Flaksman, Ya.Sh., The Performance of a Physical Experiment on Interaction of a Supersonic High-Temperature Gas-Dispersed Flow with a Solid Body, in Trudy 51-i Nauchnoi konferentsii MFTI “Sovremennye problemy fundamental’nykh i prikladnykh nauk.”Chast’ VI (Proceedings of the 51st Scientific Conference of the Moscow Institute of Physics and Technology (State University): Modern Problems of Fundamental and Applied Sciences,” Dolgoprudnyi, Moscow region, Russia, November 28–30, 2008, Moscow: Moscow Institute of Physics and Technology (State University), part VI, p. 142.
Matveev, S.K. and Dzhaichibekov, N.Zh., Calculation of the Flow around a Sphere by a Gas Suspension Based on a Three-Component Model of the Two-Phase Medium, Vestn. Leningr. Univ., Ser. 1: Mat., Mekh., 1982, no. 7, p. 189.
Osiptsov, A.N. and Shapiro, E.G., Flow around a Sphere by a Dusty Gas with a High Supersonic Velocity, in Issledovanie gidrodinamiki i teploobmena slozhnykh techenii odnorodnykh i mnogofaznykh sred (Investigation of the Hydrodynamics and Heat Exchange of Complex Flows of Homogeneous and Multiphase Media), Moscow: Moscow State University, 1990, p. 89 [in Russian].
Tsirkunov, Y.M., Gas-Particle Flows around Bodies-Key Problems, Modeling, and Numerical Analysis, in Proceedings of the Fourth International Conference on Multiphase Flow (ICMF’2001), New Orleans, Louisiana, United States, May 27–June 1, 2001, New Orleans, 2001, p. 1.
Ishii, R., Hatta, N., Umeda, Y., and Yuhi, M., Supersonic Gas-Particle Two-Phase Flow around a Sphere, J. Fluid Mech., 1990, vol. 221, p. 453.
Rubinow, S.I. and Keller, J.B., The Transverse Force on Spinning Sphere Moving in a Viscous Fluid, J. Fluid Mech., 1961, vol. 11, p. 447.
Oesterlé, B. and Bui Dinh, T., Experiments on the Lift of a Spinning Sphere in a Range of Intermediate Reynolds Numbers, Exp. Fluids, 1998, vol. 25, p. 16.
Dennis, S.C.R., Singh, S.N., and Ingham, D.B., The Steady Flow Due to a Rotating Sphere at Low and Moderate Reynolds Numbers, J. Fluid Mech., 1980, vol. 101, p. 257.
Lukerchenko, N.N., Kharlamov, A.A., and Kvurt, Yu.P., Experimental Estimation of the Drag Force, Magnus Force, and the Moment of Resistance Acting on a Spherical Particle, in Materialy VI Mezhdunarodnoi konferentsii po neravnovesnym protsessam v soplakh i struyakh (Proceedings of the Sixth International Conference on Non-Equilibrium Processes in Nozzles and Jets (NPNJ-2006), St. Petersburg, Russia, June 26–July 1, 2006), Moscow: Vuzovskaya Kniga, 2006.
Grinats, E.S. and Stasenko, A.L., An Interpolation Model of the Dynamics and Heat Exchange of a Spherical Particle in a Carrier Gas for Arbitrary Values of the Reynolds Number, Tr. Tsentr. Aerogidrodin. Inst., 2008, no. 2676, p. 3.
Millikan, R.A., The General Law of Fall of a Small Spherical Body through a Gas, and Its Bearing upon the Nature of Molecular Reflection from Surfaces, Phys. Rev., 1923, vol. 22, p. 1.
Kavanau, L.L., Heat Transfer from Spheres to a Rarefied Gas in Subsonic Flow, Trans. ASME, 1955, vol. 77, no. 5, p. 613.
Miller, A.B., Molleson, G.V., and Stasenko, A.L., Mechanics and Optics of a Supersonic Finely Dispersed Flow near the Illuminated Sphere, Uch. Zap. Tsentr. Aerogidrodin. Inst., 2007, vol. XXXVIII, nos. 3–4, p. 92.
Coakley, T.J., Turbulence Modeling Methods for the Compressible Navier-Stokes Equations, AIAA Pap., 1983, no. 83–1693, p. 2.
Belotserkovskii, O.M. and Davydov, Yu.V., Metod krupnykh chastits v gazovoi dinamike (Method of Large Particles in Gas Dynamics), Moscow: Nauka, 1982 [in Russian].
Bohren, C.F. and Huffman, D.R., Absorption and Scattering of Light by Small Particles, New York: Wiley, 1983. Translated under the title Pogloshchenie i rasseyanie sveta malymi chastitsami, Moscow: Mir, 1986.
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Original Russian Text © G.V. Molleson, A.L. Stasenko, 2011, published in Teplofizika Vysokikh Temperatur, 2011, Vol. 49, No. 1, pp. 73–80.
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Molleson, G.V., Stasenko, A.L. Peculiarities of flow over a blunted body by a supersonic polydispersed jet with a swirl of reflected particles. High Temp 49, 72–80 (2011). https://doi.org/10.1134/S0018151X11010135
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DOI: https://doi.org/10.1134/S0018151X11010135