Artículo
Treviño, C.; Ferro-Fontán, C.; Méndez, F. "Asymptotic analysis of axisymmetric drop spreading" (1998) Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 58(4):4478-4484
Este artículo esta disponible en la web de forma gratuita y puede ser descargado en su versión final
Consulte la política de Acceso Abierto del editor
Abstract:
We study in this paper the time evolution of the spreading process of a small drop in contact with a flat dry surface, using asymptotic techniques. We reduced the problem by solving a quasisteady self-similar macroscopic problem and matched with the precursor region solution, where the van der Waals forces are important. A final nonlinear third-order ordinary differential equation has been solved numerically using shooting methods based on the fourth-order Runge-Kutta techniques. We obtained how the capillary number changes when the drop size decreases with time. The evolution process then diverges slightly from that obtained using the spherical cap approximation. The influence of gravity is also considered for both hanging and sitting drops. © 1998 The American Physical Society.
Registro:
| Documento: | Artículo |
| Título: | Asymptotic analysis of axisymmetric drop spreading |
| Autor: | Treviño, C.; Ferro-Fontán, C.; Méndez, F. |
| Filiación: | Facultad de Ciencias, Universidad Nacional Autónoma de México, México Distrito Federal, 04510, Mexico Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires y Consejo, Nacional de Investigaciones Cientificas y Tecnicas, Buenos Aires, 1428, Argentina Facultad de Ingeniería, Universidad Nacional Autónoma de México, México Distrito Federal, 04510, Mexico |
| Año: | 1998 |
| Volumen: | 58 |
| Número: | 4 |
| Página de inicio: | 4478 |
| Página de fin: | 4484 |
| DOI: | http://dx.doi.org/10.1103/PhysRevE.58.4478 |
| Título revista: | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |
| Título revista abreviado: | Phys Rev E. |
| ISSN: | 1063651X |
| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_1063651X_v58_n4_p4478_Trevino.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1063651X_v58_n4_p4478_Trevino |
Referencias:
- de Gennes, P.G., (1985) Rev. Mod. Phys., 57, p. 827
- Dussan, V.E., (1979) Annu. Rev. Fluid Mech., 11, p. 371
- Oron, A., Davis, S.H., Bankoff, S.G., (1997) Rev. Mod. Phys., 69, p. 931
- Cazabat, A.M., Cohen Stuart, M.A., (1986) J. Phys. Chem., 90, p. 5845
- Diez, J.A., Gratton, R., Thomas, L., Marino, B., (1994) Phys. Fluids, 6, p. 24
- Gratton, R., Diez, J.A., Thomas, L.P., Marino, B., Betelú, S., (1996) Phys. Rev. E, 53, p. 3563
- Tanner, L.H., (1979) J. Phys. D, 12, p. 1473
- Middleman, S., (1995) Modeling Axisymmetric Flows, p. 251. , Academic, San Diego
- Fairbrother, F., Stubbs, A.E., (1935) J. Chem. Soc., 1, p. 527
- Bretherton, F.P., (1961) J. Fluid Mech., 10, p. 166
- Brenner, M., Bertozzi, A., (1993) Phys. Rev. Lett., 71, p. 593
- Friz, G., (1965) Z. Angew. Phys., 19, p. 374
- Chen, J.D., Wada, N., (1988) J. Colloid Interface Sci., 148, p. 207
- Kalliadasis, S., Chang, H-C., (1994) Phys. Fluids, 6, p. 12
- Starov, V.M., Kalinin, V.V., Chen, J.D., (1994) Adv. Colloid Interface Sci., 50, p. 187
- Chebbi, R., Selim, M.S., (1997) J. Colloid Interface Sci., 195, p. 66
- López, J., Miller, C.A., Ruckenstein, E., (1976) J. Colloid Interface Sci., 56, p. 460
- Ehrhard, P., (1994) J. Colloid Interface Sci., 168, p. 242
- Chebbi, R., Selim, M.S., (1995) J. Colloid Interface Sci., 172, p. 14
- Voinov, O.V., (1995) J. Appl. Math. Mech., 59, p. 735
- E. S. Mickaily, Ph.D. dissertation, University of California, San Diego (1992)
Citas:
---------- APA ----------
Treviño, C., Ferro-Fontán, C. & Méndez, F. (1998) . Asymptotic analysis of axisymmetric drop spreading. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 58(4), 4478-4484.http://dx.doi.org/10.1103/PhysRevE.58.4478
---------- CHICAGO ----------
Treviño, C., Ferro-Fontán, C., Méndez, F. "Asymptotic analysis of axisymmetric drop spreading" . Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 58, no. 4 (1998) : 4478-4484.http://dx.doi.org/10.1103/PhysRevE.58.4478
---------- MLA ----------
Treviño, C., Ferro-Fontán, C., Méndez, F. "Asymptotic analysis of axisymmetric drop spreading" . Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 58, no. 4, 1998, pp. 4478-4484.http://dx.doi.org/10.1103/PhysRevE.58.4478
---------- VANCOUVER ----------
Treviño, C., Ferro-Fontán, C., Méndez, F. Asymptotic analysis of axisymmetric drop spreading. Phys Rev E. 1998;58(4):4478-4484.http://dx.doi.org/10.1103/PhysRevE.58.4478
