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  4. Maxwell fluid flow in system supplying hydrodynamically active polymer to boundary layer of streamlined object

Maxwell fluid flow in system supplying hydrodynamically active polymer to boundary layer of streamlined object

MMC.
2021;
Volume 8, Number 1
: pp. 58–68
https://doi.org/10.23939/mmc2021.01.058
Received: June 15, 2020
Revised: December 13, 2020
Accepted: December 13, 2020

Mathematical Modeling and Computing, Vol. 8, No. 1, pp. 58–68 (2021)

Authors:
  1. V. G. Pogrebnyak
  2. A. V. Pogrebnyak
  3. I. V. Perkun
1
Ivano-Frankivsk National Technical University of Oil and Gas
2
University of Customs and Finance
3
Ivano-Frankivsk National Technical University of Oil and Gas

The article presents the results of the numerical simulation of the Maxwell fluid flow in the system supplying hydrodynamically active polymer in the boundary layer of a streamlined object.  The case of slow flow is considered.  In this case, the inertial terms can be neglected, the velocities, stresses, and stream functions can be written as the decomposition by Weisenberg number, and we can assume that the Weissenberg number is less than one. The established features of the behaviour of the Maxwell fluid flow with a longitudinal velocity gradient and the manifestation of the effects of elastic deformations are crucial for understanding processes taking place in the system supplying hydrodynamically active polymer in the boundary layer of a streamlined object. Understanding the nature of the effects of elastic deformations in the supplying system makes it possible to offer a hydrodynamic calculation of the modes of polymer solution injection into the boundary layer without any negative manifestations of the effects of the elastic deformations.  The results of the numerical simulation confirmed the conception on the deformation-stress state of macromolecules (fluid elements) in polymer solution converging flow, based on the data previously obtained from experimental decisions concerning the hydrodynamic field structure in the input area of a slot and other openings.

polymer solution
Maxwell fluid
effect of elastic deformation
hydrodynamic field
velocity gradient
slot
Toms effect
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