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Limits of the Inertial Particle Deposition Regime and Heat Transfer in Supersonic Viscous-Dusty-Gas Flow Past Bodies

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Abstract

Supersonic steady dusty-gas flow past a blunt body at moderate and large Reynolds numbers Re is considered. Using the complete Navier-Stokes equations for the carrier phase, the effect of viscosity on the limits of the inertial particle deposition regime and the two-phase flow pattern near the frontal surface of the body is studied numerically for 102 ≤ Re ≤ 105. The dependence of the limits of the inertial particle deposition regime on the phase velocity slip ahead of the bow shock is investigated. For large Re, the flow near the stagnation point is studied in the boundary layer approximation. On the basis of numerical calculations over a wide range of variation of the Reynolds number and the particle inertia parameter, the maximum increase in the heat fluxes at the stagnation point due to the presence of dispersed particles in the free-stream is estimated.

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REFERENCES

  1. L. E. Dunbar, J. F. Courtney, and L. D. McMillen, “Heating augmentation in erosive hypersonic environments,” AIAA Journal, 13, No. 7, 908 (1975).

    Google Scholar 

  2. D. T. Hove and E. Taylor, “Stagnation region heat transfer in hypersonic particle environments,” AIAA Journal, 14, No. 10, 1486 (1976).

    Google Scholar 

  3. A. N. Osiptsov and E. G. Shapiro, “Effect of fine particles on the boundary layer structure in hypersonic flow past a blunt body,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5, 55 (1986).

  4. E. B. Vasilevskii and A. N. Osiptsov, “Experimental and numerical study of heat transfer on a blunt body in dusty hypersonic flow,” AIAA Paper, No. 3563 (1999), 11 p.

  5. Yu. M. Tsirkunov, “Effect of viscous boundary layer on the particle deposition in dusty-gas flow past a sphere,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 59 (1982).

  6. Yu. P. Golovachev, Yu. P. Lun'kin, V. F. Mymrin, and A. A. Schmidt, “Supersonic motion of bodies in dusty gas,” Acta Astronaut., 7, No. 4-5, 575 (1980).

    Google Scholar 

  7. S. V. Peigin, “Hypersonic 3-D viscous shock layer in two-phase flow,” Prikl. Matem. Mekh., 48, No. 2, 254, (1984).

    Google Scholar 

  8. F. E. Marble, “Dynamics of dusty gases,” Annu. Rev. Fluid Mech., 2, 397 (1970).

    Google Scholar 

  9. D. J. Carlson and R. F. Hoglund, “Particle drag and heat transfer in rocket nozzles,” AIAA Journal, 2, No. 11, 1980 (1964).

    Google Scholar 

  10. I. P. Ginzburg, Aerogasdynamics [in Russian], Vysshaya Shkola, Moscow (1966).

    Google Scholar 

  11. V. I. Sakharov, V. G. Gromov, and E. I. Fateeva, “Development of algorithms and comparative analysis of the solutions to problems of chemically nonequilibrium supersonic flow past a body within the framework of the Navier-Stokes equations, the partial chemical equilibrium model, and the viscous shock layer equations,” Report of Institute of Mechanics MSU, No. 4507 (1998).

  12. A. N. Osiptsov, “Modified Lagrangian method for calculating the particle concentration in dusty-gas flows with intersecting particle trajectories,” in: Proc. 3rd Intern. Conf. Multiphase Flow. Lyons, France. 1998, Lyons (1998), CD, 8 p.

  13. A. N. Osiptsov and E. G. Shapiro, “Dusty gas flow past a sphere at high supersonic velocity,” in: Investigation of Gas Dynamics and Heat Transfer in Complex Homogenous and Multiphase Flows [in Russian],” Moscow State University, Moscow (1990), 89-105.

    Google Scholar 

  14. W. D. Hayes and R. F. Probstein, Hypersonic Flow Theory, Acad. Press, New York (1959).

    Google Scholar 

  15. A. N. Osiptsov, “Investigation of regions of unbounded growth of particle concentration in disperse flows,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5, 46 (1984).

  16. J. D. Cole, Perturbation Methods in Applied Mathematics, Blaisdell, Waltham (1968), 260 p.

    Google Scholar 

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Egorova, L.A., Osiptsov, A.N. & Sakharov, V.I. Limits of the Inertial Particle Deposition Regime and Heat Transfer in Supersonic Viscous-Dusty-Gas Flow Past Bodies. Fluid Dynamics 36, 952–963 (2001). https://doi.org/10.1023/A:1017970827997

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