Abstract
A numerical solution is obtained for the Navier-Stokes equations in the problem of laminar flow of a viscous incompressible liquid in a plane channel with abrupt one-sided broadening. The solution is compared with experiment.
Similar content being viewed by others
Literature cited
L. M. Simuni, “Numerical solution of some problems of viscous-liquid motion,” Inzh.-Fiz. Zh.,4, No. 3 (1964).
V. N. Varapaev, “Numerical investigation of periodic jet flow of viscous incompressible liquid,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 3 (1968).
R. J. Goldstein and D. K. Kried, J. Appl. Mech.,34, 813 (1967).
N. S. Berman and V. A. Sontos, A.I.Ch.E. J.,15, 323 (1969).
M. R. Samuels and D. M. Wetzel, Chem. Eng. J.,4, 41 (1972).
F. Durst, A. Melling, and J. H. Whitelaw, in: Proceedings of DISA Conference. Fluid Dynamic Measurements in the Industrial and Medical Environments, Leicester (1972), p. 81.
R. J. Goldstein, V. L. Friksen, R. M. Obson, and E. R. Ecket, J. Bas. Eng.,92, 732 (1970).
M. K. Denham and M. A. Patrick, “Laminar flow over a downstream-facing step in a two-dimensional flow channel,” Trans. Inst. Chem. Eng.,52, No. 4 (1974).
D. J. Atkins, Ph. D. Thesis, University of Exeter (1974).
L. C. Leal and A. Acrivos, J. Fluid Mech.,39, 735 (1969).
R. A. O'Leary and T. J. Mueller, Technical Report THEMISUND-69-4, College of Engineering, Notre Dame Univ. (1969).
P. J. Reache and T. J. Mueller, “Numerical solution of laminar separated flow,” AIAA J.,8, No. 3 (1970).
T. D. Taylor and E. Ndefo, “Calculation of viscous liquid flow in a channel by the separation method,” in: Numerical Methods in Fluid Mechanics [Russian translation], Mir, Moscow (1973).
G. F. Chavez and E. G. Richards, “A numerical study of the Coanda effect,” Pap. Am. Soc. Mech. Eng., No. Fles 12 (1970).
S. Uchida and M. Endo, “On some numerical solutions of the flow through a back-step channel,” Mem. Fac. Eng. Nagoua Univ.,27, No. 1 (1975).
I. Yu. Brailovskaya, T. V. Kuskova, and L. A. Chudov, “Difference methods of solving Navier-Stokes equations,” in: Computational Methods and Programing [in Russian], No. 11, Moscow State Univ. (1968).
R. Richtmeyer and K. W. Morton, Difference Methods for Initial-Value Problems, Interscience, New York (1967).
Cheng Sin-I, “A critical review of numerical solutions of Navier-Stokes equations,” Lect. Notes Phys.,41, 78–225 (1975).
P. D. Lax, “Weak solution of nonlinear hyperbolic equations and their numerical computation,” Commun. Pure Appl. Math.,7, 159–193 (1954).
R. Courant, E. Isaacson, and M. Rees, “On the solution of nonlinear hyperbolic difference equations by finite differences,” Commun. Pure Appl. Math.,5, No. 243 (1952).
R. P. Fedorenko, “Iterational methods of solving elliptical difference equations,” Usp. Mat. Nauk,28, No. 2 (170) (1973).
Author information
Authors and Affiliations
Additional information
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 35, No. 6, pp. 1078–1083, December, 1978.
Rights and permissions
About this article
Cite this article
Korobko, V.I., Malaya, É.M. & Shashmin, V.K. Flow of viscous incompressible liquid in a plane channel with abrupt one-sided broadening. Journal of Engineering Physics 35, 1470–1474 (1978). https://doi.org/10.1007/BF01104855
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01104855