Computational Modelling of Blood Flow Development and Its Characteristics in Magnetic Environment
Of concern in this paper is an investigation of the entrance length behind singularities in cardiovascular hemodynamics under magnetic environment. In order to get better interpretation of scan MRI images, the characteristics of blood flow and electromagnetic field within the circulatory system have...
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Wiley
2013-01-01
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| Series: | Modelling and Simulation in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2013/758748 |
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| author | Gopal Chandra Shit |
| author_facet | Gopal Chandra Shit |
| author_sort | Gopal Chandra Shit |
| collection | DOAJ |
| description | Of concern in this paper is an investigation of the entrance length behind singularities in cardiovascular hemodynamics under magnetic environment. In order to get better interpretation of scan MRI images, the characteristics of blood flow and electromagnetic field within the circulatory system have to be furthermore investigated. A 3D numerical model has been developed as an example of blood flowing through a straight circular tube. The governing coupled nonlinear differential equations of magnetohydrodynamic (MHD) fluid flow are reduced to a nondimensional form, which are then characterized by four dimensionless parameters. With an aim to validate our numerical approach, the computational results are compared with those of the analytical solution available in the developed region far from the singularity. The hydraulic impedance by unit length within the developed flow region increases with the magnetic field. The time average entrance length with a greater precision on the unsteady case decreases with increasing magnetic field strength. The overall voltage characteristics do not depend on the developed flow field within the entry region. |
| format | Article |
| id | doaj-art-191cd811f609492dbdcbdbffd71dfa3a |
| institution | Kabale University |
| issn | 1687-5591 1687-5605 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Modelling and Simulation in Engineering |
| spelling | doaj-art-191cd811f609492dbdcbdbffd71dfa3a2025-02-03T01:02:49ZengWileyModelling and Simulation in Engineering1687-55911687-56052013-01-01201310.1155/2013/758748758748Computational Modelling of Blood Flow Development and Its Characteristics in Magnetic EnvironmentGopal Chandra Shit0Department of Mathematics, Jadavpur University, Kolkata 700032, IndiaOf concern in this paper is an investigation of the entrance length behind singularities in cardiovascular hemodynamics under magnetic environment. In order to get better interpretation of scan MRI images, the characteristics of blood flow and electromagnetic field within the circulatory system have to be furthermore investigated. A 3D numerical model has been developed as an example of blood flowing through a straight circular tube. The governing coupled nonlinear differential equations of magnetohydrodynamic (MHD) fluid flow are reduced to a nondimensional form, which are then characterized by four dimensionless parameters. With an aim to validate our numerical approach, the computational results are compared with those of the analytical solution available in the developed region far from the singularity. The hydraulic impedance by unit length within the developed flow region increases with the magnetic field. The time average entrance length with a greater precision on the unsteady case decreases with increasing magnetic field strength. The overall voltage characteristics do not depend on the developed flow field within the entry region.http://dx.doi.org/10.1155/2013/758748 |
| spellingShingle | Gopal Chandra Shit Computational Modelling of Blood Flow Development and Its Characteristics in Magnetic Environment Modelling and Simulation in Engineering |
| title | Computational Modelling of Blood Flow Development and Its Characteristics in Magnetic Environment |
| title_full | Computational Modelling of Blood Flow Development and Its Characteristics in Magnetic Environment |
| title_fullStr | Computational Modelling of Blood Flow Development and Its Characteristics in Magnetic Environment |
| title_full_unstemmed | Computational Modelling of Blood Flow Development and Its Characteristics in Magnetic Environment |
| title_short | Computational Modelling of Blood Flow Development and Its Characteristics in Magnetic Environment |
| title_sort | computational modelling of blood flow development and its characteristics in magnetic environment |
| url | http://dx.doi.org/10.1155/2013/758748 |
| work_keys_str_mv | AT gopalchandrashit computationalmodellingofbloodflowdevelopmentanditscharacteristicsinmagneticenvironment |