dorsal/arxiv
View SchemaPower-Law Slip Profile of the Moving Contact Line in Two-Phase Immiscible Flows
| Authors | Tiezheng Qian, Xiao-Ping Wang, Ping Sheng |
|---|---|
| Categories | |
| ArXiv ID | physics/0403011 |
| URL | https://arxiv.org/abs/physics/0403011 |
| DOI | 10.1103/PhysRevLett.93.094501 |
| Journal | Physical Review Letters 93, 094501 (2004) |
Abstract
Large scale molecular dynamics (MD) simulations on two-phase immiscible flows show that associated with the moving contact line, there is a very large $1/x$ partial-slip region where $x$ denotes the distance from the contact line. This power-law partial-slip region is verified in large-scale adaptive continuum simulations based on a local, continuum hydrodynamic formulation, which has proved successful in reproducing MD results at the nanoscale. Both MD and continuum simulations indicate the existence of a universal slip profile in the Stokes-flow regime, well described by $v^{slip}(x)/V_w=1/(1+{x}/{al_s})$, where $v^{slip}$ is the slip velocity, $V_w$ the speed of moving wall, $l_s$ the slip length, and $a$ is a numerical constant. Implications for the contact-line dissipation are discussed.
{
"annotation_id": "7533b0e9-34eb-40e0-a381-b860e6a37ef9",
"date_created": "2026-03-02T18:00:50.368000Z",
"date_modified": "2026-03-02T18:00:50.368000Z",
"file_hash": "c7004122ed02cf67b0bc965920d1590cce1440f9962597664e03adba5b3629b7",
"private": false,
"record": {
"abstract": "Large scale molecular dynamics (MD) simulations on two-phase immiscible flows\nshow that associated with the moving contact line, there is a very large $1/x$\npartial-slip region where $x$ denotes the distance from the contact line. This\npower-law partial-slip region is verified in large-scale adaptive continuum\nsimulations based on a local, continuum hydrodynamic formulation, which has\nproved successful in reproducing MD results at the nanoscale. Both MD and\ncontinuum simulations indicate the existence of a universal slip profile in the\nStokes-flow regime, well described by $v^{slip}(x)/V_w=1/(1+{x}/{al_s})$, where\n$v^{slip}$ is the slip velocity, $V_w$ the speed of moving wall, $l_s$ the slip\nlength, and $a$ is a numerical constant. Implications for the contact-line\ndissipation are discussed.",
"arxiv_id": "physics/0403011",
"authors": [
"Tiezheng Qian",
"Xiao-Ping Wang",
"Ping Sheng"
],
"categories": [
"physics.flu-dyn",
"cond-mat.soft",
"physics.comp-ph"
],
"doi": "10.1103/PhysRevLett.93.094501",
"journal_ref": "Physical Review Letters 93, 094501 (2004)",
"title": "Power-Law Slip Profile of the Moving Contact Line in Two-Phase Immiscible Flows",
"url": "https://arxiv.org/abs/physics/0403011"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "8d4a33ce-1cb1-4c36-9e65-0399b1c39726",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}