Nonlinear stability of the thin micropolar liquid film flowing down on a vertical plate

Journal of Fluids Engineering, Transactions of the ASME

Volumn 118, Issue 3, 1996, Pages 498-505

  Hung, Chen I ^a   Tsai, Jung Shun ^a   Chen, Cha’o Kuang ^a  

^a Nationai Ctieng Kung University   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; EQUATIONS OF MOTION; KINEMATICS; MICROSTRUCTURE; NUMERICAL ANALYSIS; PARAMETER ESTIMATION; PERTURBATION TECHNIQUES; PHYSICAL PROPERTIES; SENSITIVITY ANALYSIS; STABILITY; THIN FILMS;

KINEMATIC EQUATION; LIQUID FILM; MICROPOLAR COEFFICIENT; MICROPOLAR PARAMETERS; NONLINEAR ANALYSIS;

FLOW OF FLUIDS;

EID: 0030245829     PISSN: 00982202     EISSN: 1528901X     Source Type: Journal    
DOI: 10.1115/1.2817786     Document Type: Article

References (18)

1. Ahmadi, G., 1976, -Stability of a Micropolar Fluid Layer Heated from Below,— International Journal of Engineering Science, Vol. 14, pp. 81-89.
2. Benney, D. J., 1966, -Long Waves on Liquid Films,— Journal of Mathematics and Physics, Vol. 45, pp. 150-155.
3. Chang, H. C., 1994, -Wave Evolution on a Falling Film,— Annual Review of Fluid Mechanics, Vol. 26, pp. 103-136.
4. Datta, A. B., and Sastry, V. U. K., 1976, -Thermal Instability of a Horizontal Layer of Micropolar Fluid Heated from Below,— International Journal of Engineering Science, Vol. 14, pp. 631-637.
5. Eringen, A. C., 1964, -Simple Microfluids,— International Journal of Engineering Science, Vol. 2, pp. 205-217.
6. Eringen, A. C., 1967, -Theory of Micropolar Fluids,— Journal of Mathematics & Mechanics, Vol. 16, pp. 1-18.
7. Eringen, A. C., 1980, -Theory of Anisotropic Micropolar Fluids,— International Journal of Engineering Science, Vol. 18, pp. 5-17.
8. Franchi, F., and Straughan, B., 1992, -Nonlinear Stability for Thermal Convection in a Micropolar Fluid with Temperature Dependent Viscosity,— International Journal of Engineering Science, Vol. 30, pp. 1349-1360.
9. Hwang, C. C., and Weng, C. L, 1987, -Finite-Amplitude Stability Analysis of Liquid Films Down a Vertical Wall with and without Interfacial Phase Change,— International Journal of Multiphase Flow, Vol. 13, pp. 803-814.
10. Kolpashchikov, V. L., Migun, N. P., and Prokhorenko, P. P., 1983, -Experimental Determination of Material Micropolar Fluid Constants,— International Journal of Engineering Science, Vol. 21, pp. 405-411.
11. Krishna, M. V. G., and Lin, S. P., 1977, -Nonlinear Stability of a Viscous Film with Respect to Three-Dimensional Side-Band Disturbances,— The Physics of Fluids, Vol. 20, pp. 1039-1044.
12. Lin, S. P., 1974, -Finite Amplitude Side-Band Stability of a Viscous Film,— Journal of Fluid Mechanics, Vol. 63, pp. 417-429.
13. Liu, C. Y., 1970, -On Turbulent Flow of Micropolar Fluids,— International Journal of Engineering Science, Vol. 8, pp. 457-466.
14. Liu, C. Y., 1971, -Initiation of Instability in Micropolar Fluids,— The Physics of Fluids, Vol. 14, pp. 1808-1809.
15. Payne, L. E., and Straughan, B., 1989, -Critical Rayleigh Numbers for Oscillatory and Nonlinear Convection in an Isotropic Thermomicropolar Fluid,— International Journal of Engineering Science, Vol. 27, pp. 827-836.
16. Stokes, V. K., 1984, Theories of Fluids with Microstructures An Introduction, Chapter 6, Springer-Verlag, BerUn.
17. Tsai, J. S., Hung, C. I., and Chen, C. K., 1996, -Nonhnear Hydromagnetic Stability Analysis of Condensation Film Flow Down a Vertical Plate,— Acta Mechanica, to appear.
18. Yih, C. S., 1954, -Stability of Parallel Laminar Flow with a Free Surface,— Proceedings of the 2nd U.S. National Congress of Applied Mechanics, pp. 623-628.