Marangoni flow -induced by temperature gradients- against gravity forces

Abstract

In the present work a comparison in made between the authors experimental and numerically calculated data obrained in studying the Marangoni-type flow induced by  tenperature gradients, in competition with the gravity flow, for a thin liquid pellicle of triangular section found on an inclined plane. The equation with partial derivatives, appearing in the proposed theoretical model, is integrated by the method of the finite element in the simplex form. The order of magnitude of the calculated rates of flow for the two types of flow through the thin liquid pellicle is close to the one experimentally determined.

Authors

E. Chifu
Polytechnic Institute of Cluj-Napoca

I. Albu
Polytechnic Institute of Cluj-NapocaE. Gavrila
C.I. Gheorghiu

Tiberiu Popoviciu Institute of Numerical Analysis
Polytechnic Institute of Cluj-Napoca

E. Gavrila

M. Salajan
Polytechnic Institute of Cluj-Napoca

M. Tomoaia-Cotisel
Polytechnic Institute of Cluj-Napoca

Keywords

Poisson equation; mixed boundary value problem; finite element method; linear approximation; Marangoni flow; temperature gradient; surface tension gradient

References

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Paper coordinates

E. Chifu, I. Albu, C.I. Gheorghiu, E. Gavrila, M. Sălăjan, M. Tomoaia-Cotisel, Marangoni flow -induced by temperature gradients- against gravity forces, Rev. Roumaine Chim. 31 (1986) no. 1, 105-112.

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References

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

[2] E. Chifu, C. gheorghiu, I. Stan, Rev. Roumaine Chim., 29, 31 (1984).

[3] L. E. Scriven, Chem. Engl. Sci., 12, 98 (1960).

[4] V. G. Levich, Physicochemical Hydrodynamics, Prentice-Hall, New Jersey, 1962.

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