Flow of Fractal Fluid in Pipes: Non-Integer Dimensional Space Approach
Fluid Dynamics
2015-03-11 v1
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.
Keywords
Cite
@article{arxiv.1503.02842,
title = {Flow of Fractal Fluid in Pipes: Non-Integer Dimensional Space Approach},
author = {Vasily E. Tarasov},
journal= {arXiv preprint arXiv:1503.02842},
year = {2015}
}
Comments
24 pages. LaTeX, 8 figures. arXiv admin note: substantial text overlap with arXiv:1503.02022