Application of the Greene function method for solving spatially one dimensional problems of the theory of electromagnetic radiation drying
An algorithm for constructing a new class of solutions to spatially one-dimensional problems in the theory of electromagnetic radiation drying has been developed. Its basis is the procedure for splitting the process by physical factors. In the framework of the proposed algorithm, the initial boundar...
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| Format: | Article |
| Language: | English |
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Povolzhskiy State University of Telecommunications & Informatics
2020-01-01
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| Series: | Физика волновых процессов и радиотехнические системы |
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| Online Access: | https://journals.ssau.ru/pwp/article/viewFile/7817/7689 |
| _version_ | 1797382566540476416 |
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| author | A.M. Afanasiev B.N. Siplivy |
| author_facet | A.M. Afanasiev B.N. Siplivy |
| author_sort | A.M. Afanasiev |
| collection | DOAJ |
| description | An algorithm for constructing a new class of solutions to spatially one-dimensional problems in the theory of electromagnetic radiation drying has been developed. Its basis is the procedure for splitting the process by physical factors. In the framework of the proposed algorithm, the initial boundary value problems for the heat and moisture propagation equations are solved sequentially using the Fourier method using the Greene function apparatus on successive layers of the difference grid separated by small time intervals. The dependencies of the temperature and moisture content fields on time in such solutions are determined by the eigenvalues of the Sturm-Liouville problem, and the distributions of these fields in space are determined by the eigenfunctions of this problem. A comparison of the new calculation algorithm with known grid methods is made, and new possibilities for analysis that are opened in the drying theory due to this algorithm are indicated. |
| first_indexed | 2024-03-08T21:07:18Z |
| format | Article |
| id | doaj.art-4797ed26428b461593c96e15615921f9 |
| institution | Directory Open Access Journal |
| issn | 1810-3189 2782-294X |
| language | English |
| last_indexed | 2024-03-08T21:07:18Z |
| publishDate | 2020-01-01 |
| publisher | Povolzhskiy State University of Telecommunications & Informatics |
| record_format | Article |
| series | Физика волновых процессов и радиотехнические системы |
| spelling | doaj.art-4797ed26428b461593c96e15615921f92023-12-22T10:31:40ZengPovolzhskiy State University of Telecommunications & InformaticsФизика волновых процессов и радиотехнические системы1810-31892782-294X2020-01-01231738310.18469/1810-3189.2020.23.1.73-837297Application of the Greene function method for solving spatially one dimensional problems of the theory of electromagnetic radiation dryingA.M. Afanasiev0B.N. Siplivy1Volgograd State UniversityVolgograd State UniversityAn algorithm for constructing a new class of solutions to spatially one-dimensional problems in the theory of electromagnetic radiation drying has been developed. Its basis is the procedure for splitting the process by physical factors. In the framework of the proposed algorithm, the initial boundary value problems for the heat and moisture propagation equations are solved sequentially using the Fourier method using the Greene function apparatus on successive layers of the difference grid separated by small time intervals. The dependencies of the temperature and moisture content fields on time in such solutions are determined by the eigenvalues of the Sturm-Liouville problem, and the distributions of these fields in space are determined by the eigenfunctions of this problem. A comparison of the new calculation algorithm with known grid methods is made, and new possibilities for analysis that are opened in the drying theory due to this algorithm are indicated.https://journals.ssau.ru/pwp/article/viewFile/7817/7689a.v. lykov equationselectromagnetic dryinginitial boundary value problemfourier methodsturm-liouville problemgreene functionanalytical and numerical methodshomogeneous plate drying |
| spellingShingle | A.M. Afanasiev B.N. Siplivy Application of the Greene function method for solving spatially one dimensional problems of the theory of electromagnetic radiation drying Физика волновых процессов и радиотехнические системы a.v. lykov equations electromagnetic drying initial boundary value problem fourier method sturm-liouville problem greene function analytical and numerical methods homogeneous plate drying |
| title | Application of the Greene function method for solving spatially one dimensional problems of the theory of electromagnetic radiation drying |
| title_full | Application of the Greene function method for solving spatially one dimensional problems of the theory of electromagnetic radiation drying |
| title_fullStr | Application of the Greene function method for solving spatially one dimensional problems of the theory of electromagnetic radiation drying |
| title_full_unstemmed | Application of the Greene function method for solving spatially one dimensional problems of the theory of electromagnetic radiation drying |
| title_short | Application of the Greene function method for solving spatially one dimensional problems of the theory of electromagnetic radiation drying |
| title_sort | application of the greene function method for solving spatially one dimensional problems of the theory of electromagnetic radiation drying |
| topic | a.v. lykov equations electromagnetic drying initial boundary value problem fourier method sturm-liouville problem greene function analytical and numerical methods homogeneous plate drying |
| url | https://journals.ssau.ru/pwp/article/viewFile/7817/7689 |
| work_keys_str_mv | AT amafanasiev applicationofthegreenefunctionmethodforsolvingspatiallyonedimensionalproblemsofthetheoryofelectromagneticradiationdrying AT bnsiplivy applicationofthegreenefunctionmethodforsolvingspatiallyonedimensionalproblemsofthetheoryofelectromagneticradiationdrying |