Context. The problem of mass transfer of a cylindrical body with a uniform translational flow of a viscous incompressible fluid is<br />examined in the paper.<br />Objective. The purpose of this work is to develop a new method for numerical analysis of the problem of mass transfer of a cylindrical<br />body with a uniform translational flow, which based on the joint application of the R-functions structural method and the Galerkin<br />projection method.<br />Method. In general case, the problem of stationary mass transfer of a cylindrical body with a viscous incompressible fluid flow is reduced<br />to the solution of the equation of hydrodynamic flow passing a surface and an equation for concentration with corresponding boundary<br />conditions on the surface of the body and far away from it. The geometry of the area, and also the boundary conditions (including the<br />condition at infinity) may be taken into account precisely by using the constructive apparatus of the R-functions theory by V. L. Rvachev,<br />the Academician of Ukrainian National Academy of Sciences. In this study, a complete structure of the solution of a linear boundary value<br />problem for the concentration that exactly satisfies the boundary conditions on the boundary and condition at infinity is constructed on the basis of the R-functions theory methods, and this made it possible to lead the tasks in the infinite domain to tasks in the finite domain. To<br />solve the linear problem for concentration the numerical algorithm on the basis of Galerkin method is developed.<br />Results. The computational experiment for the problem of the flow past circular and elliptical cylinders at various Reynolds and Peclet<br />numbers was carried out.<br />Conclusions. The conducted experiments have confirmed the efficiency of the proposed method of numerical analysis of the problem<br />of mass transfer of a cylindrical body with a uniform translational flow, based on the joint application of the R-functions structural method<br />and Galerkin projection method. The prospects for the further research may be to use the developed method for the implementation of<br />iterative methods for solving the task of nonlinear mass transfer, semi-discrete and projection methods for solving the non-stationary<br />tasks, as well as in solving the tasks of optimal management of relevant technological processes.
Науковий журнал «Радіоелектроніка, інформатика, управління»
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Lamtyugova, S. N.; National University of Urban Economy in Kharkiv, Kharkiv, Ukraine Sidorov, M. V.; National University of Radio Electronics, Kharkiv, Ukraine Sytnykova, I. V.; National University of Urban Economy in Kharkiv, Kharkiv, Ukraine |
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Context. The problem of mass transfer of a cylindrical body with a uniform translational flow of a viscous incompressible fluid is<br />examined in the paper.<br />Objective. The purpose of this work is to develop a new method for numerical analysis of the problem of mass transfer of a cylindrical<br />body with a uniform translational flow, which based on the joint application of the R-functions structural method and the Galerkin<br />projection method.<br />Method. In general case, the problem of stationary mass transfer of a cylindrical body with a viscous incompressible fluid flow is reduced<br />to the solution of the equation of hydrodynamic flow passing a surface and an equation for concentration with corresponding boundary<br />conditions on the surface of the body and far away from it. The geometry of the area, and also the boundary conditions (including the<br />condition at infinity) may be taken into account precisely by using the constructive apparatus of the R-functions theory by V. L. Rvachev,<br />the Academician of Ukrainian National Academy of Sciences. In this study, a complete structure of the solution of a linear boundary value<br />problem for the concentration that exactly satisfies the boundary conditions on the boundary and condition at infinity is constructed on the basis of the R-functions theory methods, and this made it possible to lead the tasks in the infinite domain to tasks in the finite domain. To<br />solve the linear problem for concentration the numerical algorithm on the basis of Galerkin method is developed.<br />Results. The computational experiment for the problem of the flow past circular and elliptical cylinders at various Reynolds and Peclet<br />numbers was carried out.<br />Conclusions. The conducted experiments have confirmed the efficiency of the proposed method of numerical analysis of the problem<br />of mass transfer of a cylindrical body with a uniform translational flow, based on the joint application of the R-functions structural method<br />and Galerkin projection method. The prospects for the further research may be to use the developed method for the implementation of<br />iterative methods for solving the task of nonlinear mass transfer, semi-discrete and projection methods for solving the non-stationary<br />tasks, as well as in solving the tasks of optimal management of relevant technological processes. |
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Zaporizhzhya National Technical University 2018-10-04 12:10:39 |
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application/pdf http://ric.zntu.edu.ua/article/view/142599 |
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Radio Electronics, Computer Science, Control; No 2 (2018): Radio Electronics, Computer Science, Control |
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Copyright (c) 2018 S. N. Lamtyugova, M. V. Sidorov, I. V. Sytnykova |
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