Flow of Fractal Fluid in Pipes: Non-Integer Dimensional Space Approach
classification
⚛️ physics.flu-dyn
keywords
fluidfractaldimensionalnon-integerspaceflowgeneralizationpipe
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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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