| Revisiting viscoelastic liquid films flowing down a slippery substrate: Linear and nonlinear viscoelastic waves | |
Song, Zhiwei1; Ding ZJ(丁子敬)1,2
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| Corresponding Author | Ding, Zijing([email protected]) |
| Source Publication | PHYSICA D-NONLINEAR PHENOMENA
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| 2025-03-01 | |
| Volume | 473Pages:15 |
| ISSN | 0167-2789 |
| Abstract | This paper revisits the flow of a viscoelastic film on a slippery substrate (Phys. Rev. Fluids 7 (6), 064007, 2022) using the Navier-slip boundary condition, tau xz = lambda u (lambda represents the friction coefficient of the substrate). Here, tau xz represents the total tangential shear stress, comprised of both a viscous and an elastic component. A model equation for the film thickness is derived based on the long-wave theory. The study investigates both the linear and nonlinear dynamics of the film flow. It reveals that the presence of a slippery substrate and viscoelasticity promote the instability of linear viscoelastic waves. Additionally, they affect the speed and height of nonlinear viscoelastic waves. Our present study suggests that neglecting the elastic component of tau xz at the slippery wall could result in an overestimation of the linear stability threshold while underestimating the speed and height of nonlinear waves. |
| Keyword | Viscoelastic film Navier slip condition Nonlinear waves |
| DOI | 10.1016/j.physd.2025.134554 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:001424880300001 |
| WOS Keyword | POLYMER-MELT ; FLUID-FLOW ; LONG WAVES ; WALL-SLIP ; STABILITY ; EQUATION |
| WOS Research Area | Mathematics ; Physics |
| WOS Subject | Mathematics, Applied ; Physics, Fluids & Plasmas ; Physics, Multidisciplinary ; Physics, Mathematical |
| Funding Project | NSFC, China[12102109] |
| Funding Organization | NSFC, China |
| Classification | 一类 |
| Ranking | 1 |
| Contributor | 丁子敬 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/100141 |
| Collection | 微重力重点实验室 |
| Affiliation | 1.Harbin Inst Technol, Sch Energy Sci & Engn, Harbin 150001, Heilongjiang, Peoples R China; 2.Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China |
| Recommended Citation GB/T 7714 | Song, Zhiwei,Ding ZJ. Revisiting viscoelastic liquid films flowing down a slippery substrate: Linear and nonlinear viscoelastic waves[J]. PHYSICA D-NONLINEAR PHENOMENA,2025,473:15.Rp_Au:丁子敬 |
| APA | Song, Zhiwei,&丁子敬.(2025).Revisiting viscoelastic liquid films flowing down a slippery substrate: Linear and nonlinear viscoelastic waves.PHYSICA D-NONLINEAR PHENOMENA,473,15. |
| MLA | Song, Zhiwei,et al."Revisiting viscoelastic liquid films flowing down a slippery substrate: Linear and nonlinear viscoelastic waves".PHYSICA D-NONLINEAR PHENOMENA 473(2025):15. |
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