Summary
The rupture problem of a thin micropolar liquid film on a horizontal plane is studied. A nonlinear evolution equation is firstly derived for the film thickness,h(x, t), and then solved numerically. The results reveal that the rupture time of the film strongly increases with increase of the magnitude of the parameterR(=κ/μ). However, the analysis also shows that the micropolar coefficient, λ(=γh 0 2/μ), has little influence on the stability of the film.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Dimitrov, D. S.: Dynamic interactions between approaching surfaces of biological interest. Prog. Surf. Sci.14, 295–300 (1983).
Ruckstein, E., Jain, R. K.: Spontaneous rupture of thin liquid films. Chem. Soc. Farady Trans.270, 132–146 (1974).
Williams, M. B., Davis, S. H.: Nonlinear theory of film rupture. J. Colloid Interface Sci.90, 220–228 (1982).
Hwang, C. C., Chang, S. H.: Rupture theory of thin power-law liquid film. J. Appl. Phys.74, 2965–2967 (1993).
Eringen, A. C.: Theory of micropolar fluids. J. Math. Mech.16, 1–18 (1966).
Liu, C. Y.: Initiation of instability in micropolar fluids. Phys. Fluids14, 1808–1809 (1970).
Allen, S., Kline, K.: Lubrication theory of micropolar fluids. J. Appl. Mech.38, 646–650 (1971).
Ahmadi, G.: Stability of a micropolar fluid layer heated from below. Int. J. Eng. Sci.14, 81–89 (1976).
Stokes, V. K.: Couple stress in fluids. Phys. Fluids9, 1709–1715 (1966).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Hung, C.I., Tsai, J.S. Rupture of thin micropolar liquid film. Acta Mechanica 122, 217–223 (1997). https://doi.org/10.1007/BF01182000
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01182000