Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/101534
Title: Viscous liquid films on a porous vertical cylinder : dynamics and stability
Authors: Ding, Zijing
Wong, Teck Neng
Liu, Rong
Liu, Qiusheng
Keywords: DRNTU::Engineering::Materials::Microelectronics and semiconductor materials::Thin films
Issue Date: 2013
Source: Ding, Z., Wong, T. N., Liu, R., & Liu, Q. (2013). Viscous liquid films on a porous vertical cylinder: Dynamics and stability. Physics of Fluids, 25(6), 064101.
Series/Report no.: Physics of fluids
Abstract: In this paper, liquid films flowing down a porous vertical cylinder were investigated by an integral boundary layer model. Linear stability and nonlinear evolution were studied. Linear stability results of the integral boundary layer model were in good agreement with the linearized Navier-Stokes equations which indicated that the permeability of the porous medium enhanced the instability of the flow system. The growth rate and cut-off wave number increased with increasing the permeability and the Reynolds number. Linear stability analysis showed that the system was more unstable for a larger Reynolds number Re. Nonlinear studies showed that, for a very small Re, the film evolved with time while a saturated state was not observed. In addition, it was observed that the film ruptured when the permeability parameter β > 0, and the rupture time decreased with increasing β. However, for a moderate Reynolds number, a small finite harmonic disturbance evolved to a saturated traveling wave. Further investigation was conducted on the droplet-like wave solution. Results showed that the wave speed increased as the permeability parameter increased.
URI: https://hdl.handle.net/10356/101534
http://hdl.handle.net/10220/18602
ISSN: 1070-6631
DOI: http://dx.doi.org/10.1063/1.4808112
Rights: © 2013 AIP Publishing LLC. This paper was published in Physics of Fluids and is made available as an electronic reprint (preprint) with permission of AIP Publishing LLC. The paper can be found at the following official DOI: [http://dx.doi.org/10.1063/1.4808112]. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:MAE Journal Articles

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