Condensed Matter

    

Vortex Model of Plane Poiseuille Flow of Non-Newtonian Fluid

Authors: Victor L. Mironov, Sergey V. Mironov

We present a description of plane Poiseuille flow of non-Newtonian time-independent fluid based on symmetric equations, which take into account both the longitudinal motion and rotation of the vortex tubes. This model has analytical solution in the form of the two-parametric velocity distribution, which is in good agreement with velocimetry data in microchannels. The advantage of this approach is that, in contrast to the Ostwald-de Waele power law, it provides a more accurate approximation of experimental velocity profiles for different Reynolds numbers by model profiles corresponding to the same viscosity parameter. We believe that this simple model can be useful for making adequate estimates for the parameters of non-Newtonian time-independent fluids in engineering hydrodynamics.

Comments: 10 Pages.

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Submission history

[v1] 2023-10-04 11:42:36

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