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Violation of the incompressibility of liquid by simple shear flow

Author

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  • Akira Furukawa

    (Institute of Industrial Science, University of Tokyo)

  • Hajime Tanaka

    (Institute of Industrial Science, University of Tokyo)

Abstract

Go without the flow The standard fluid dynamics used successfully over the years to describe the flow of gases and liquids makes a big assumption: fluids are deemed incompressible. This holds true — it was thought — for most systems until flow rates approach the speed of sound. But now it is shown that the condition of incompressibility can be violated even for simple shear flows, if the density dependence of the viscosity is taken into account. The results may shed light on various phenomena associated with the mechanical instabilities of liquids at low Reynolds number, including the shear-banding effect seen in very viscous liquids such as metallic glasses and the Earth's mantle.

Suggested Citation

  • Akira Furukawa & Hajime Tanaka, 2006. "Violation of the incompressibility of liquid by simple shear flow," Nature, Nature, vol. 443(7110), pages 434-438, September.
    • Handle: RePEc:nat:nature:v:443:y:2006:i:7110:d:10.1038_nature05119
    DOI: 10.1038/nature05119
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    Cited by:

    1. Xiangyu Meng & Chuntong Zhu & Xin Wang & Zehua Liu & Mengmeng Zhu & Kuibo Yin & Ran Long & Liuning Gu & Xinxing Shao & Litao Sun & Yueming Sun & Yunqian Dai & Yujie Xiong, 2023. "Hierarchical triphase diffusion photoelectrodes for photoelectrochemical gas/liquid flow conversion," Nature Communications, Nature, vol. 14(1), pages 1-13, December.

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