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.
This article presents the results of numerical flow simulation of simple and viscoelastic (polymer solution) fluids through a crack by using polymer solutions for enhanced oil recovery from the reservoir. The determined regularities of viscoelastic (polymer solution) liquid behavior with longitudinal velocity gradient and manifested in this case elastic deformations effects have a decisive meaning in the understanding of the mechanism "anomalously" high oil recovery ability from the reservoir by using water-polymer flooding of the porous-fractured reservoir. Understanding the nature of increased oil recovery with the use of polymer solutions will lead to the development of recommendations on the choice of regimes of water-polymer flooding of the porous-fractured reservoir.
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