Abstract
In this paper, we discuss the modeling of the electromagnetic water purification. This model requires a velocity distribution in a study domain. For that purpose, the double potential method for simulating incompressible viscous fluid flows was used. The system of equations was discretized with the help of the finite volume method using an exponential transformation for the vortex calculation. As a result, a software implementation of the developed numerical scheme was obtained. The simulation of the three-dimensional flow was carried out in a study domain. The results were compared with Ansys CFD. The comparison showed a good degree of consistency between the two distributions. Using the obtained velocity field, we simulated the process of water purification using the induction of the electromagnetic field.
Highlights
The investigation of three-dimensional fluid flow modeling in this paper stems from the problem of the electromagnetic purification of fluid from the iron ion impurity
There is a generalization of the stream function to the three-dimensional case called vector potential [2, 3]
The velocity distribution obtained by the double potential method is in good qualitative agreement with the results obtained by Ansys, which is shown by the behavior of the flow on the domain inlet and after the separator part
Summary
The investigation of three-dimensional fluid flow modeling in this paper stems from the problem of the electromagnetic purification of fluid from the iron ion impurity. We used the Navier-Stokes equations in the variables of the stream function – the vortex [1], when simulating this process in a two-dimensional formulation This formulation is inapplicable in the case of modeling three-dimensional flow. To overcome the difficulties described, it is possible to use the double potential method developed in the papers [4,5,6] The essence of this method is to represent the speed as the sum of the curl of the vector potential and the gradient of the scalar potential. This allows us, on the one hand, to exclude pressure from consideration (it can be calculated later using a known velocity field), on the other hand, to avoid a set of complex boundary conditions on the vector potential
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