No-slip condition

In fluid dynamics, the no-slip condition is a boundary condition which enforces that at a solid boundary, a viscous fluid attains zero bulk velocity. This boundary condition was first proposed by Osborne Reynolds, who observed this behaviour while performing his influential pipe flow experiments.[1] The form of this boundary condition is an example of a Dirichlet boundary condition.

In the majority of fluid flows relevant to fluids engineering, the no-slip condition is generally utilised at solid boundaries.[2] This condition often fails for systems which exhibit non-Newtonian behaviour. Fluids which this condition fails includes common food-stuffs which contain a high fat content, such as mayonnaise or melted cheese.[3]

  1. ^ Reynolds, Osbourne. (1876). "I. On the force caused by the communication of heat between a surface and a gas, and on a new photometer". Proceedings of the Royal Society of London. 24 (164): 387–391.
  2. ^ Day, Michael A. (2004). "The no-slip condition of fluid dynamics". Erkenntnis. 33 (3): 285–296. doi:10.1007/BF00717588. S2CID 55186899.
  3. ^ Campanella, O. H.; Peleg, M. (1987). "Squeezing Flow Viscosimetry of Peanut Butter". Journal of Food Science. 52: 180–184. doi:10.1111/j.1365-2621.1987.tb14000.x.

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