Viscous liquid films on a porous vertical cylinder : dynamics and stability
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 equ...
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sg-ntu-dr.10356-1015342023-03-04T17:19:32Z Viscous liquid films on a porous vertical cylinder : dynamics and stability Ding, Zijing Wong, Teck Neng Liu, Rong Liu, Qiusheng School of Mechanical and Aerospace Engineering DRNTU::Engineering::Materials::Microelectronics and semiconductor materials::Thin films 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. Published version 2014-01-16T03:24:05Z 2019-12-06T20:40:06Z 2014-01-16T03:24:05Z 2019-12-06T20:40:06Z 2013 2013 Journal Article 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. 1070-6631 https://hdl.handle.net/10356/101534 http://hdl.handle.net/10220/18602 10.1063/1.4808112 en Physics of fluids © 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. application/pdf |
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DRNTU::Engineering::Materials::Microelectronics and semiconductor materials::Thin films Ding, Zijing Wong, Teck Neng Liu, Rong Liu, Qiusheng Viscous liquid films on a porous vertical cylinder : dynamics and stability |
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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. |
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School of Mechanical and Aerospace Engineering |
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School of Mechanical and Aerospace Engineering Ding, Zijing Wong, Teck Neng Liu, Rong Liu, Qiusheng |
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Article |
author |
Ding, Zijing Wong, Teck Neng Liu, Rong Liu, Qiusheng |
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Ding, Zijing |
title |
Viscous liquid films on a porous vertical cylinder : dynamics and stability |
title_short |
Viscous liquid films on a porous vertical cylinder : dynamics and stability |
title_full |
Viscous liquid films on a porous vertical cylinder : dynamics and stability |
title_fullStr |
Viscous liquid films on a porous vertical cylinder : dynamics and stability |
title_full_unstemmed |
Viscous liquid films on a porous vertical cylinder : dynamics and stability |
title_sort |
viscous liquid films on a porous vertical cylinder : dynamics and stability |
publishDate |
2014 |
url |
https://hdl.handle.net/10356/101534 http://hdl.handle.net/10220/18602 |
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1759858135374233600 |