| Autor: |
Gorbunov, A. K., Korzhavyi, A. P., Kulikov, A. N., Silaeva, N. A. |
| Předmět: |
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| Zdroj: |
AIP Conference Proceedings; 2021, Vol. 2402 Issue 1, p1-5, 5p |
| Abstrakt: |
One of the methods for solving boundary value problems for some special cases of the hydrodynamic dispersion equation is considered. The method is based on the representation of solutions of differential equations of parabolic type in the form of series with generalized powers of Bers. The equations that allow the application of this method are obtained from the general equation of hydrodynamic dispersion in radial filtering flows. An example of solving a specific boundary value problem for one of the equations is given. The phenomenon of hydrodynamic dispersion is a complex type of mass transfer that depends on many factors. The proposed method allows us to significantly reduce computational difficulties because, in the end, it is reduced to the construction of generalized Bers degrees representable through 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., to determine the mass transfer coefficients. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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