INVESTIGADORES
MARINO Beatriz Maria
artículos
Título:
Quasi-self-similarity for wetting drops
Autor/es:
GRATTON, R; DIEZ, JA; THOMAS, LP; MARINO, BM; BETELU, S
Revista:
PHYSICAL REVIEW E - STATISTICAL PHYSICS, PLASMAS, FLUIDS AND RELATED INTERDISCIPLINARY TOPICS
Editorial:
Americal Physical Society
Referencias:
Año: 1996 vol. E53 p. 3563 - 3572
ISSN:
1063-651X
Resumen:
We develop and experimentally test a quasi-self-similar solution for
the spreading of viscous nonvolatile droplets over a dry and horizontal
solid substrate, under the condition of complete wetting (spreading
parameter S>0) with both
gravity and Laplace pressure as driving forces. The problem does not
admit a self-similar solution because two dimensional characteristic
parameters, namely, the slipping length λ and the capillary distance a,
cannot be ruled out. Therefore, we approximate the solution by the
members of a family of self-similar solutions, each one corresponding
to different values of the ratios xf / a and h0 / λ, where xf and h0
are the instantaneous drop extension and central thickness,
respectively. This treatment of the problem also produces as explicit
formula (which must be integrated) to predict the drop radius. The
excellent agreement with our own and other authors' experimental data
suggests that the approach can be considered as an interesting tool for
solving problems where strict self-similarity fails.