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

Vasily E. Tarasov

Chaos, Solitons & Fractals, 2014, vol. 67, issue C, 26-37

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:67:y:2014:i:c:p:26-37

DOI: 10.1016/j.chaos.2014.06.008

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