Flow of Fractal Fluid in Pipes: Non-Integer Dimensional Space Approach

Vasily E. Tarasov

doi:10.1016/j.chaos.2014.06.008

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arXiv · 1503.02842

Flow of Fractal Fluid in Pipes: Non-Integer Dimensional Space Approach

Vasily E. Tarasov

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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.

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Vasily E. Tarasov. 2015-03-10. Flow of Fractal Fluid in Pipes: Non-Integer Dimensional Space Approach. https://doi.org/10.1016/j.chaos.2014.06.008

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