2015/03/10 by Vasily E. Tarasov · 1 citation
Physics and Astronomy · #physics.flu-dyn
paper · pdf · doi:10.1016/j.chaos.2014.06.008
published as Chaos, Solitons and Fractals. Vol.67. (2014) 26-37 · 24 pages. LaTeX, 8 figures. arXiv admin note: substantial text overlap with arXiv:1503.02022
arxiv created 2015/03/10 · arxiv updated 2015/03/11
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.