The no-slip boundary condition in fluid mechanics

@article{Prabhakara2004TheNB,
  title={The no-slip boundary condition in fluid mechanics},
  author={Sandeep Prabhakara and Mohan D. Deshpande},
  journal={Resonance},
  year={2004},
  volume={9},
  pages={50-60}
}
A moving fluid in contact with a solid body cannot have velocity relative to the body. Even though the question whether there is slip has been satisfactorily resolved now, it was a difficult and controversial problem. In the first part of this article several basic ideas and details related to this problem are discussed. The concluding part of the article will trace the development of ideas leading to the resolution of this important question. Extreme cases where fluid does slip will also be… 

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References

SHOWING 1-8 OF 8 REFERENCES

Ludwig Prandtl and boundary layers in fluid flow

In 1904, Prandtl proposed the concept of boundary layers that revolutionised the study of fluid mechanics. In this article we present the basic ideas of boundary layers and boundary-layer separation,

II. On the alleged slipping at the boundary of a liquid in motion

The experiments of Helmholtz and Piotrowski on the oscillations of a metal sphere suspended bifilarly, and filled with various liquids, gave finite values to the slipping coefficients. The inside of

The Meaning of Viscometry in Fluid Dynamics

Of the Navier-Stokes equations Lamb (1895, §326) wrote that they embodied "the simplest hypothesis we can frame" and, citing the authority of Reynolds, that "this hypothesis has been put to a very

Drag reduction of Newtonian fluid in a circular pipe with a highly water-repellent wall

Drag reduction phenomena, in which 14% drag reduction of tap water flowing in a 16 mm-diameter pipe occurs in the laminar flow range, have been clarified. Experiments were carried out to measure the

Boundary conditions at a naturally permeable wall

Experiments giving the mass efflux of a Poiseuille flow over a naturally permeable block are reported. The efflux is greatly enhanced over the value it would have if the block were impermeable,

Apparent fluid slip at hydrophobic microchannel walls

Micron-resolution particle image velocimetry is used to measure the velocity profiles of water flowing through 30×300 μm channels. The velocity profiles are measured to within 450 nm of the

Experimental friction factor of a liquid flow in microtubes

The friction factor of a water laminar flow through fused silica microtubes with diameters ranging from 50 to 530 μm is investigated experimentally. The existing works in the literature are analyzed.