The Marangoni flow of an incompressible viscous fluid through an inclined canal having triangular section and a free liquid/gas surface is discussed. In comparison with the previously proposed models, 1-2-4-5 in the present one the existence of a surface viscosity of the liquid and the fact that the process is non-steady are taken into account.
A numerical analysis of the mathematical model is done, by using a Galerkin-Crank-Nicholson algorithm. By taking notice of the non-stationarity of the process the occurrence of the Marangoni-type flow in competition with the gravity flow is elucidated.
University of Cluj-Napoca, Faculty of Chemical Technology
Polytechnic Institute of Cluj-Napoca
Latex-pdf version of the paper.
C.I. Gheorghiu, E. Chifu, Surface mobility of surfactant solutions XII, Remarks concerning the Marangoni flow through an inclined surface canal, Rev. Roumaine Chim., 32 (1987) nos. 9-10, pp. 945-951.
Revue Roumaine de Chimie
Google Scholar Profile
 E. Chifu, Stud. Univ. Babes-Bolyai, Chem., 10 (2), 85(1965); E. Chifu, R. Deutsch, Rev. Roumaine Chim., 11, 873, 1966.
 E. Chifu and J. Stan, Rev. Roumaine Chim., 27, 703, 1982.
 R. Van den Bogaert and P. Joos, S. Colooid interface sci., 69, 301, 1979.
 E. Chifu, I. Albu, C. I., Gheorghiu, E. Gavrila, M. Salajan and M. Tomoaia-Cotisel, Rev. Roumaine Chim., 31, 105, 1986.
 E. Chifu, C. I. Gheorghiu and I. Stan, Rev. Roumaine Chim., 29, 31, 1984.
 L. Howarth, Modern Developments in Fluid Dynamics, High Speed Flow, vol. I, Oxford, 1953
 L. E. Scriven, Chem., Eng. Sci., 12, 98, 1960.
 R. Aris, Vectors tensors and the Basic Equations of the Fluid Mechanics, Cap. X, Prentice Hall, New Jersey, 1962.
 E. Chifu, I. Stan, Z. Finta and E. Gavrila, J. Colloid Interface Sci., 93, 140, 1983.
 C. I. Gheorghiu, Ph. D. Thesis, University of Bucharest, Faculty of Mathematics, 1984.