Abstract
The Navier-Stokes equations are solved numerically for laminar viscous incompressible fluid flow in a plane duct with sudden expansion. The solution is compared with experiment.
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Literature cited
V. N. Voronin, Fundamentals of Mining Aerogasdynamics [in Russian], Ugletekhizdat (1951).
G. N. Abramovich, Turbulent Flows with Fluid Backwash [in Russian], Oborongiz (1958).
V. N. Voronin and Yu. M. Pervov, Problems of Mining Aerology [in Russian], Ugletekhizdat (1958).
R. Curtet, Sur l'écoulementd'un jet entre parois, Publ. Sci. Tech. Ministère de l'Air, No. 359, Paris (1960).
A. M. Levin and V. A. Baum, “Dimensions of the recirculation zone associated with sudden flow expansion,” Dokl. Akad. Nauk UkrSSR, No. 10 (1958).
V. I. Mitkalinnyi, Jet Flow of Gases in Furnaces [in Russian], Metallurgizdat (1961).
L. A. Vulis and V. P. Kashkarov, Theory of Viscous Fluid Jets [in Russian], Nauka, Moscow (1965).
I. A. Shepelev and M. D. Tarnopol'skii, Investigation of Heat and Mass Transfer in Technological Processes and Equipment [in Russian], Nauka i Tekhnika, Minsk (1966).
B. V. Kantorovich, “Mixing of jets confined by walls,” in: New Methods of Fuel Ignition and Aspects of Combustion Theory [in Russian], Nauka, Moscow (1965).
M. A. Gol'dsht and B. A. Silant'ev, “Influence of duct enlargement on the fluid motion in the separation zone behind a poeiy streamlined body,” Zh. Prikl. Mekh. Tekh. Fiz., No. 1 (1967).
B. A. Bairashevskii, “Approximate calculation of the aerodynamic characteristics of confined jets for various expansion ratios,” Izv. Akad. Nauk BSSR, Ser. Fiz.-Mat. Nauk, No. 4 (1970).
V. Ya. Neiland, “Theory of the separation of a laminar boundary layer,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4 (1969).
K. Stewartson and P. G. Williams, “Self-induced separation,” Proc. R. Soc, London, Ser. A,312 (1969).
A. F. Messiter, “Boundary-layer flow near the trailing edge of a flat plate,” SIAM J. Appl. Math.,18, No. 1 (1970).
V. V. Bogolepov and V. Ya. Neiland, “Supersonic flow of a viscous gas past small irregularities on the surface of a body,” Tr. Tsentr. Aérogidrodinam. Inst., No. 1363 (1971).
K. Stewartson, in: Fluid Dynamics Transactions, Vol. 3, PWN, Warsaw (1967), p. 127–146.
L. V. Goshin, V. Ya. Neiland, and G. Yu. Stepanov, “Theory of two-dimensional separated flows,” in: Fluid Mechanics (Advances of Science and Technology, Fluid Mechanics Series) [in Russian], Vol. 8, VINITI, Akad. Nauk SSSR (1975).
I. Yu. Brailovskaya, T. V. Kuskova, and L. A. Chudov, “Difference methods for the solution of the Navier-Stokes equations,” in: Computational Methods and Programming [in Russian], No. 11, Moscow State Univ. (1968).
R. D. Richtmyer and K. W. Morton, Difference Methods for Initial-Value Problems, 2nd ed., Wiley-Interscience, New York (1967).
T. J. Mueller, “Numerical and physical experiments in viscous separated flow,” in: Progress in Numerical Fluid Dynamics (Lect. Notes Phys., Vol. 41; H. J. Wirz, ed.), Springer, Berlin-New York (1975), pp. 375–409.
Sin-I. Cheng, “A critical review of numerical solution of Navier-Stokes equations,” in: Progress in Numerical Fluid Dynamics (Lect. Notes Phys., Vol. 41; H. J. Wirz, ed.), Springer, Berlin-New York (1975), pp. 78–225.
L. M. Simuni, “Numerical solution of problems in viscous fluid flow,” Inzh. Zh.,4, No. 3 (1964).
E. O. Macagno and T. K. Hung, “Computational and experimental study of a captive annular eddy”, J. Fluid Mech.,28, 43–64 (1967).
L. G. Loitsyanskii, Fluid and Gas Mechanics [in Russian], Nauka, Moscow (1970).
P. J. Roache and T. J. Mueller, “Numerical solutions of laminar separated flows,” AIAA J.,8, 530–538 (1970).
P. D. Lax, “Weak solutions of nonlinear hyperbolic equations and their numerical computations,” Commun. Pure Appl. Math.,7, 159–193 (1954).
T. V. Kuskova and L. A. Chudov, “Approximate boundary conditions for a vortex in the computation of viscous incompressible fluid flows,” in: Computational Methods and Programming [in Russian], No. 11, Moscow State Univ. (1968).
R. Courant, E. Isaacson, and M. Rees, “On the solution of nonlinear hyperbolic differential equations by finite difference,” Commun. Pure Appl. Math.,5, No. 243 (1952).
R. P. Fedorenko, “Iterative methods for the solution of elliptic difference equations,” Usp. Mat. Nauk,28, No. 2 (170) (1973).
N. I. Buleev and V. S. Petrishchev, “Numerical method of solution of the Hydrodynamical equations for plane flow,” Dokl. Akad. Nauk SSSR,169, No. 6 (1966).
I. Yu. Brailovskaya, “Method of solution of problems with strong viscous interaction,” Dokl. Akad. Nauk SSSR,162, No. 1 (1965).
V. N. Varapaev, “Numerical study of periodic jet flow of a viscous incompressible fluid,” Izv. Akad, Nauk SSSR, Mekh. Zhidk. Gaza, No. 3 (1968).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 35, No. 2, pp. 307–312, August, 1978.
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Korobko, V.I., Malaya, É.M. & Shashmin, V.K. Aerodynamics of flow in a plane duct with sudden expansion. Journal of Engineering Physics 35, 960–964 (1978). https://doi.org/10.1007/BF00860221
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DOI: https://doi.org/10.1007/BF00860221