A New Approach to the Parameterization of Streamlined Surfaces of the Left Heart and Aorta, Taking into Account the Twisted Structure of Blood Flow
Using the normal dynamic anatomy of the left heart and aorta as an example, it has been shown that the streamlined surfaces of the flow channels in this segment of the circulation can be approximated with sufficient accuracy by the dependences for the streamlines obtained from the exact solution of...
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MDPI AG
2025-05-01
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| author | Ivan Beglov Eugene Talygin Yaroslav Zharkov Alexandre Gorodkov |
| author_facet | Ivan Beglov Eugene Talygin Yaroslav Zharkov Alexandre Gorodkov |
| author_sort | Ivan Beglov |
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| description | Using the normal dynamic anatomy of the left heart and aorta as an example, it has been shown that the streamlined surfaces of the flow channels in this segment of the circulation can be approximated with sufficient accuracy by the dependences for the streamlines obtained from the exact solution of the basic equations of hydrodynamics for the class of centripetal swirling viscous fluid flows. It has been shown that, in three consecutive segments of the blood channel, from the left atrium to the end of the aorta, at the moment of maximum flow velocity, the geometrical configuration of the channel satisfies the condition of constancy of the product of the longitudinal and the square of the radial coordinate, and the zone of jet initiation is limited by a concave streamlined surface. The curvature of the flow channel axis has no effect on the hydrodynamic structure of the flow, since it is coherent with the directions of the streamlines. |
| format | Article |
| id | doaj-art-50f13c2ed29b46d28e81233616bac751 |
| institution | OA Journals |
| issn | 2076-3417 |
| language | English |
| publishDate | 2025-05-01 |
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| spelling | doaj-art-50f13c2ed29b46d28e81233616bac7512025-08-20T01:56:13ZengMDPI AGApplied Sciences2076-34172025-05-011510529110.3390/app15105291A New Approach to the Parameterization of Streamlined Surfaces of the Left Heart and Aorta, Taking into Account the Twisted Structure of Blood FlowIvan Beglov0Eugene Talygin1Yaroslav Zharkov2Alexandre Gorodkov3Institute of Radio Electronics and Informatics, MIREA—Russian Technological University, Moscow 119454, RussiaA.N. Bakulev Research Centre for Cardiovascular Surgery, Moscow 119049, RussiaA.N. Bakulev Research Centre for Cardiovascular Surgery, Moscow 119049, RussiaInstitute of Radio Electronics and Informatics, MIREA—Russian Technological University, Moscow 119454, RussiaUsing the normal dynamic anatomy of the left heart and aorta as an example, it has been shown that the streamlined surfaces of the flow channels in this segment of the circulation can be approximated with sufficient accuracy by the dependences for the streamlines obtained from the exact solution of the basic equations of hydrodynamics for the class of centripetal swirling viscous fluid flows. It has been shown that, in three consecutive segments of the blood channel, from the left atrium to the end of the aorta, at the moment of maximum flow velocity, the geometrical configuration of the channel satisfies the condition of constancy of the product of the longitudinal and the square of the radial coordinate, and the zone of jet initiation is limited by a concave streamlined surface. The curvature of the flow channel axis has no effect on the hydrodynamic structure of the flow, since it is coherent with the directions of the streamlines.https://www.mdpi.com/2076-3417/15/10/5291geometric modelingcardiovascular systemleft heartaortaswirling blood flowcyclic surfaces |
| spellingShingle | Ivan Beglov Eugene Talygin Yaroslav Zharkov Alexandre Gorodkov A New Approach to the Parameterization of Streamlined Surfaces of the Left Heart and Aorta, Taking into Account the Twisted Structure of Blood Flow Applied Sciences geometric modeling cardiovascular system left heart aorta swirling blood flow cyclic surfaces |
| title | A New Approach to the Parameterization of Streamlined Surfaces of the Left Heart and Aorta, Taking into Account the Twisted Structure of Blood Flow |
| title_full | A New Approach to the Parameterization of Streamlined Surfaces of the Left Heart and Aorta, Taking into Account the Twisted Structure of Blood Flow |
| title_fullStr | A New Approach to the Parameterization of Streamlined Surfaces of the Left Heart and Aorta, Taking into Account the Twisted Structure of Blood Flow |
| title_full_unstemmed | A New Approach to the Parameterization of Streamlined Surfaces of the Left Heart and Aorta, Taking into Account the Twisted Structure of Blood Flow |
| title_short | A New Approach to the Parameterization of Streamlined Surfaces of the Left Heart and Aorta, Taking into Account the Twisted Structure of Blood Flow |
| title_sort | new approach to the parameterization of streamlined surfaces of the left heart and aorta taking into account the twisted structure of blood flow |
| topic | geometric modeling cardiovascular system left heart aorta swirling blood flow cyclic surfaces |
| url | https://www.mdpi.com/2076-3417/15/10/5291 |
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