Abstract
A consistent asymptotic theory of wall flow with film formation is constructed with reference to subsonic two-phase flow over a blunt body. The external flow problem and the film equations are solved simultaneously. This formulation of the problem supplements the investigation carried out in [4] in which particles deposited on the surface were assumed to disappear from the flow. It is shown that depending on the values of the governing parameters the flow in the film should be described either by the boundary layer equations or by the equations of creeping flow in a layer of unknown thickness. At the outer edge of the film the mass, momentum and energy fluxes found from the numerical solution of the flow problem are given. The case of isothermal film flow on the front of a sphere is investigated. The thickness of the film and the friction and heat transfer coefficients near the axis of symmetry are found for nonisothermal flows. The conditions under which the presence of a film significantly reduces the heat flow to the wall are determined. A similar formulation of the problem (but with another type of mass, momentum and energy sources at the outer edge) is encountered in problems of film condensation on a cold surface [5, 6].
Similar content being viewed by others
Literature cited
M. F. Zhukov and O. P. Solonenko, “Problems of the plasma dynamics of jet-type disperse systems. Combined physical and computational experiment,” Izv. Sib. Otd. Akad. Nauk SSSR, Ser. Tekh. Nauk, No. 11, 69 (1987).
A. I. Mironov, E. G. Kondrat'ev, V. M. Mazo, and N. N. Koval'nogov, “Flow and heat transfer of a liquid film formed on a wall surface as a result of the inertial deposition of condensed particles,” in: Thermal Processes in Aircraft Engines and Power Plants [in Russian], KAI, Kazan' (1985), p. 37.
A. B. Vatakhin, V. I. Grabovskii, V. A. Likhter, and V. I. Shul'gin, in: Electrogasdynamic Flows (ed. A. B. Vatazhin) [in Russian], Nauka, Moscow (1983).
A. N. Osiptsov, “Boundary layer on a blunt body in a dusty gas flow,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5, 99 (1085).
G. G. Chernyi, “Condensation of moving vapor on a flat surface,” Dokl. Akad. Nauk SSSR,101, 39 (1955).
G. Poots and R. G. Miles, “Laminar film condensation near a stagnation point on a general curved surface,” Int. J. Heat Mass Transfer,13, 1177 (1970).
F. E. Marble, “Dynamics of dusty gases,” Ann. Rev. Fluid Mech.,2, 397 (1970).
A. N. Osiptsov, “Motion of a dusty gas in the initial section of a flat channel and a circular pipe,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6, 80 (1988).
H. Schlichting, Boundary Layer Theory, McGraw-Hill, New York (1968).
P. G. Kiselev (ed.), Hydraulic Calculation Handbook [in Russian], Énergiya, Moscow (1974).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 85–92, July–August, 1989.
Rights and permissions
About this article
Cite this article
Osiptsov, A.N., Shapiro, E.G. Two-phase flow over a surface with the formation of a liquid film by particle deposition. Fluid Dyn 24, 559–566 (1989). https://doi.org/10.1007/BF01052417
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01052417