Abstract
In the framework of the two-continuum model of a compressible gas-droplet boundary layer in a supersonic two-phase flow on a plane wall, the fields of phase parameters, droplet trajectories, and mass and energy fluxes of the dispersed phase on the streamlined surface are calculated. In the interphase momentum exchange, in addition to the aerodynamic drag force, the Saffman lift force resulting in droplet deposition on the solid wall is taken into account. The mass concentration of the dispersed phase is assumed to be small, and the wall temperature exceeds the temperature of droplet evaporation. The effect of evaporating droplets on the equilibrium temperature of a heat-insulated (adiabatic) wall is studied in a wide range of dimensionless governing parameters. It is shown that the presence of even a very low concentration of droplets can lead to a considerable decrease in the temperature of the adiabatic wall, which makes use of the evaporating condensed phase promising in different schemes of energy separation of gas flows.
Similar content being viewed by others
References
Leontiev, A.I., High Temp., 1997, vol. 35, no. 1, p. 155.
Osiptsov, A.N., Appl. Mech. Rev., 1997, vol. 50, p. 357.
Osiptsov, A.N. and Shapiro, E.G., Int. J. Heat Mass Transfer, 1993, vol. 36, no. 1, p. 71.
Saffman, P.G., J. Fluid Mech., 1965, vol. 22, p. 385.
El’perin, I.T., Inzh.-Fiz. Zh., 1961, no. 8, p. 30.
Heyt, J.M. and Larsen, P.S., Int. J. Heat Mass Transfer, 1971, vol. 14, p. 1395.
Bhatti, M.S. and Savery, C.W., J. Heat Transfer, 1975, vol. 97, no. 2, p. 179.
Hishida, K., Maeda, M., and Ikai, S., J. Heat Transfer, 1980, vol. 102, p. 513.
Yao, S. and Rane, A., J. Heat Transfer, 1980, vol. 102, p. 678.
Trela, M., Int. J. Heat Mass Transfer, 1981, vol. 24, p. 749.
Terekhov, V.I. and Pakhomov, M.A., Teplomassoperenos i gidrodinamika v gazokapel’nykh potokakh (Heat and Mass Transfer and Hydrodynamics in Gas-Drop Flows), Novosibirsk: Nauka, 2008.
Osiptsov, A.N. and Korotkov, D.V., High Temp., 1998, vol. 36, no. 2, p. 275.
Marble, F.E., Ann. Rev. Fluid Mech., 1970, vol. 2, p. 397.
Osiptsov, A.N. and Rybdylova, O.D., Theor. Found. Chem. Eng., 2011, vol. 45, no. 2, p. 164.
Carlson, D.J. and Hoglund, R.F., AIAA J., 1964, vol. 2, no. 11, p. 1980.
Mei, R., Int. J. Multiphase Flow, 1992, vol. 18, no. 1, p. 145.
Maxey, M.R. and Riley, J.J., Phys. Fluids, 1983, vol. 26, no. 4, p. 883.
Stasenko, A.L., Tr. Tsentr. Aerogidrodin. Inst., 1979, no. 2030, p. 26.
Sazhin, S., Droplets and Sprays, London: Springer, 2014.
Kalitkin, N.N., Chislennye metody (Numerical Methods), Moscow: Nauka, 1978.
Schlichting, H., Boundary layer theory, New York: McGraw-Hill, 1979.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.I. Leontiev, A.N. Osiptsov, O.D. Rybdylova, 2015, published in Teplofizika Vysokikh Temperatur, 2015, Vol. 53, No. 6, pp. 910–917.
Rights and permissions
About this article
Cite this article
Leontiev, A.I., Osiptsov, A.N. & Rybdylova, O.D. The boundary layer on a flat plate in a supersonic gas-droplet flow: Influence of evaporating droplets on the temperature of an adiabatic wall. High Temp 53, 865–872 (2015). https://doi.org/10.1134/S0018151X15060164
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0018151X15060164