{
  "aliases": null,
  "backlinks": [
    {
      "field": "defines",
      "target": "5WXY2T8JG0"
    },
    {
      "field": "uses",
      "target": "DX8RV2XG6H"
    }
  ],
  "body": "\n## Summary\n\nStokes flow is the flow of a viscous fluid in which viscous forces are much larger than inertial forces.\nIt is governed by the Stokes equations, the linear system obtained from the [[Navier–Stokes equations|18KXZHVF4M]] by dropping the nonlinear term and the time derivative.\nBecause the equations are linear, solutions can be added and many problems can be solved exactly.\nStokes flow models very small organisms, slow flows of very viscous fluids and flows in thin films.\n\n## Explanations\n\n### L1 human\n\nWhen honey creeps down a spoon, or a bacterium swims in water, inertia hardly matters.\nIf the pushing stops, the fluid stops almost at once.\nIn this regime the pressure and the friction inside the fluid balance each other exactly.\nA standard example is flow in a channel between two plates, where the speed profile is a parabola, fastest in the middle and zero at the walls.\n",
  "commit": "ff8a40749dc16545e3d2fc637f6b0196e81d0bfa",
  "front": {
    "kind": "concept",
    "msc": [
      "76D07",
      "35Q35"
    ],
    "name": "Stokes flow",
    "same_as": {
      "wikidata": "Q674202",
      "wikipedia": "Stokes flow"
    },
    "sources": [
      {
        "url": "https://en.wikipedia.org/wiki/Stokes_flow"
      }
    ],
    "tag": "13CB7V2YM4"
  },
  "kind": "concept",
  "link": "https://tamnd.github.io/math2/node/13CB7V2YM4/",
  "links": null,
  "markdown": "https://tamnd.github.io/math2/node/13CB7V2YM4.md",
  "msc": [
    "76D07",
    "35Q35"
  ],
  "name": "Stokes flow",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/13C/13CB7V2YM4.md",
  "status": null,
  "tag": "13CB7V2YM4",
  "uri": "m2://13CB7V2YM4",
  "url": "https://tamnd.github.io/math2/wiki/stokes-flow/",
  "writing": {
    "tag": "13CB7V2YM4",
    "kind": "concept",
    "level": "W0",
    "next": [
      {
        "what": "an inventory row",
        "note": "the row of the inventory that the node accounts for",
        "have": 0,
        "want": 1
      },
      {
        "what": "a source with a locator",
        "have": 0,
        "want": 1
      }
    ]
  }
}
