Numerical Solution of Electromagnetic Problem MHD in a Polar Coordinates
In this paper, we studied a flow of fluid in a pipe under the effect of electromagnetic field in a polar coordinate, be done build a mathematical model which represented by system of two dimensional non-linear partial differential equations and we solved it by using Alt...
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| Format: | Article |
| Language: | English |
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Mosul University
2021-06-01
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| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
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| Online Access: | https://csmj.uomosul.edu.iq/article_168257_c2279e5249ace46e6ce311af96036b05.pdf |
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| author | Ahmed Jassim Ahmed Amen |
| author_facet | Ahmed Jassim Ahmed Amen |
| author_sort | Ahmed Jassim |
| collection | DOAJ |
| description | In this paper, we studied a flow of fluid in a pipe under the effect of electromagnetic field in a polar coordinate, be done build a mathematical model which represented by system of two dimensional non-linear partial differential equations and we solved it by using Alternating Directions Implicit method (ADI) which is one of the finite differences method, and from the numerical solution indicated the behavior of temperature distribution inside the pipe, be done explication the influence of Rayleigh number and Prandtl number as well as the influence of Eckert number upon the behavior of temperature distribution are also done through the energy equation in polar coordinate, we arrived to steady state from unsteady state, we find the behavior of fluid flow inside the pipe and also we studied the influence of Hartmann number upon the behavior of fluid flow in pipe and all this done through the motion equation in polar coordinate.
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| format | Article |
| id | doaj-art-80ba081dd134473dab0f218b81d0ca75 |
| institution | Kabale University |
| issn | 1815-4816 2311-7990 |
| language | English |
| publishDate | 2021-06-01 |
| publisher | Mosul University |
| record_format | Article |
| series | Al-Rafidain Journal of Computer Sciences and Mathematics |
| spelling | doaj-art-80ba081dd134473dab0f218b81d0ca752025-08-20T03:35:15ZengMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902021-06-01151233410.33899/csmj.2021.168257168257Numerical Solution of Electromagnetic Problem MHD in a Polar CoordinatesAhmed Jassim0Ahmed Amen1Department of Mathematics College of Computer Sciences & Mathematics University of Mosul, Mosul, IraqDepartment of Mathematics College of Computer Sciences & Mathematics University of Mosul, Mosul, IraqIn this paper, we studied a flow of fluid in a pipe under the effect of electromagnetic field in a polar coordinate, be done build a mathematical model which represented by system of two dimensional non-linear partial differential equations and we solved it by using Alternating Directions Implicit method (ADI) which is one of the finite differences method, and from the numerical solution indicated the behavior of temperature distribution inside the pipe, be done explication the influence of Rayleigh number and Prandtl number as well as the influence of Eckert number upon the behavior of temperature distribution are also done through the energy equation in polar coordinate, we arrived to steady state from unsteady state, we find the behavior of fluid flow inside the pipe and also we studied the influence of Hartmann number upon the behavior of fluid flow in pipe and all this done through the motion equation in polar coordinate. https://csmj.uomosul.edu.iq/article_168257_c2279e5249ace46e6ce311af96036b05.pdfnumerical solutionpolar coordinatesmhd problem |
| spellingShingle | Ahmed Jassim Ahmed Amen Numerical Solution of Electromagnetic Problem MHD in a Polar Coordinates Al-Rafidain Journal of Computer Sciences and Mathematics numerical solution polar coordinates mhd problem |
| title | Numerical Solution of Electromagnetic Problem MHD in a Polar Coordinates |
| title_full | Numerical Solution of Electromagnetic Problem MHD in a Polar Coordinates |
| title_fullStr | Numerical Solution of Electromagnetic Problem MHD in a Polar Coordinates |
| title_full_unstemmed | Numerical Solution of Electromagnetic Problem MHD in a Polar Coordinates |
| title_short | Numerical Solution of Electromagnetic Problem MHD in a Polar Coordinates |
| title_sort | numerical solution of electromagnetic problem mhd in a polar coordinates |
| topic | numerical solution polar coordinates mhd problem |
| url | https://csmj.uomosul.edu.iq/article_168257_c2279e5249ace46e6ce311af96036b05.pdf |
| work_keys_str_mv | AT ahmedjassim numericalsolutionofelectromagneticproblemmhdinapolarcoordinates AT ahmedamen numericalsolutionofelectromagneticproblemmhdinapolarcoordinates |