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Flow of fractal fluid in pipes: Non-integer dimensional space approach

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  • Tarasov, Vasily E.

Abstract

Using a generalization of vector calculus for the case of non-integer dimensional space we consider a Poiseuille flow of an incompressible viscous fractal fluid in the pipe. Fractal fluid is described as a continuum in non-integer dimensional space. A generalization of the Navier–Stokes equations for non-integer dimensional space, its solution for steady flow of fractal fluid in a pipe and corresponding fractal fluid discharge are suggested.

Suggested Citation

  • Tarasov, Vasily E., 2014. "Flow of fractal fluid in pipes: Non-integer dimensional space approach," Chaos, Solitons & Fractals, Elsevier, vol. 67(C), pages 26-37.
  • Handle: RePEc:eee:chsofr:v:67:y:2014:i:c:p:26-37
    DOI: 10.1016/j.chaos.2014.06.008
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    References listed on IDEAS

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    1. Gabryś, Elżbieta & Rybaczuk, Marek & Kędzia, Alicja, 2006. "Blood flow simulation through fractal models of circulatory system," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 1-7.
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    Cited by:

    1. Zhang, Yong & Sun, HongGuang & Stowell, Harold H. & Zayernouri, Mohsen & Hansen, Samantha E., 2017. "A review of applications of fractional calculus in Earth system dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 29-46.
    2. Spineanu, F. & Vlad, M., 2015. "Self-organization of the vorticity field in two-dimensional quasi-ideal fluids: The statistical and field-theoretical formulations," Chaos, Solitons & Fractals, Elsevier, vol. 81(PB), pages 473-479.
    3. Tarasov, Vasily E., 2021. "Nonlocal quantum system with fractal distribution of states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 574(C).

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