Surface mobility of surfactant solutions. XI Numerical analysis for the Marangoni and the gravity flow in a thin liquid layer of triangular section

Abstract

The numerical calculation method of the “simplex” finite elemente in applied to the Marangoni flow undergone by the surfactant solutions, as well as to the simultaneous gravitational flow inversely oriented and occurring in competition with the forme. The order of magnitude, for the experimental rates of flow corresponding to the two types of thin liquid layer movement is “surface canals” of angular section, is in agreement with that obtained by applying the above-mentiomed method of calculation.

Authors

E.  Chifu
University of Cluj-Napoca, Romania

C. I. Gheorghiu
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy

I. Stan
University of Cluj-Napoca, Romania

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References

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E. Chifu, C.I. Gheorghiu, I. Stan, Surface mobility of surfactant solutions. XI Numerical analysis for the Marangoni and the
gravity flow in a thin liquid  layer of triangular section, 
Rev. Roumaine de Chimie, 29 (1984) no. 1, pp. 31-42.

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Editura Academieie Republicii Socialiste Romania

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References

[1] Part. E: E. Chifu and I. Stan,  Rev. Roumaine Chim., 27, 703 (1982)

[2] E. Chifu, I. Stan, Z. Finta and E. Gavrila, J. Coolloid. Interface Sci., (1983): E. Chifu and I. Stan. Rev. Roumaine Chim., 25, 1149 (1980).

[3] R. Deutsch and E. Chifu, Studia Univ. Babeș-Bolyai, Chem., 9 (1), 101 (1964)

[4] E. Chifu, Studia Univ. Babeș-Bolyai, Chem., 10 (2), 85 (1965)

[5] E. Chifu and R. Deutsch, Rev. Roumaine Chim., 11, 873 (1966)

[6] E. Chifu and I. Albu, Studia Univ. Babeș-Bolyai, Chem., 13 (1) 99 (1968)

[7] L. E. Scriven, Chem. Eng. Sci., 12, 98 (1960): R. Aris, “Vector Tensor and the Basic Equations of the Fluid Mechanics”,  Prentice Hall, New Jersey, 1962, Chap. X.

[8] R. Deutsch, H. Szocs and E. Chifu, Studia Univ. Babeș-Bolyai, Chem. 10 (2), 99 (1965)

[9] L. Segeriind, “Applied Finite Element Analysis”, Wiley, New York, 1976.

[10] J. J. Connor and C. A. Brebbia, “Finite Element Techniques for Fluid Flow”, Newnes-Buttersworth, London, 1976.

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