A.N. Kulikov1, A.K. Gorbunov2, N.A. Silaeva3, A.P. Korzhavyi4

1 Kaluga State University named after K.E. Tsiolkovski (Kaluga, Russia)

2–4 Kaluga Branch of the Bauman Moscow State Technical University (Kaluga, Russia)

The phenomenon of hydrodynamic dispersion is a complex type of mass transfer that depends on many factors. The paper considers one of the methods for solving boundary value problems for some particular cases of the hydrodynamic dispersion equation. The method is based on the representation of solutions of differential equations of parabolic type in the form of series in generalized Bers powers. As a result of investigations from the general equation of hydrodynamic dispersion in radial filtration flows, equations have been obtained that allow the application of this method. An example of solving a specific boundary value problem for one of the equations is given. The fact is confirmed that the proposed method can significantly reduce computational difficulties, since ultimately, reduces to the construction of generalized Bers degrees representable in terms of integrals of combinations of exponential and power functions. In addition, the analytical expressions of these functions can be used to solve inverse problems, i.e. when determining the coefficients of mass transfer.

Kulikov A.N., Gorbunov A.K., Silaeva N.A., Korzhavyi A.P. Modeling the behavior of hydrodynamic dispersion by solving boundary value problems. Science Intensive Technologies. 2021. V. 22. № 6. P. 46−53. DOI: https://doi.org/10.18127/j19998465-202106-05 (in Russian)

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