In vivo evidence of blood flow slippage: failure of the no-slip boundary condition assumption
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arXiv
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| Format: | Preprint |
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2025
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| author | Jarolímová, Alena Hron, Jaroslav Tůma, Karel Málek, Josef Chabiniok, Radomír Rajagopal, Keshava |
| author_facet | Jarolímová, Alena Hron, Jaroslav Tůma, Karel Málek, Josef Chabiniok, Radomír Rajagopal, Keshava |
| contents | The assumption that blood adheres to vessel walls, the ``no-slip'' boundary condition, is an essential premise of cardiovascular fluid dynamics. Yet, whether it holds true \emph{in vivo} has not been established. Using 4D flow magnetic resonance imaging of the human thoracic aorta and modeling blood as a Navier--Stokes fluid, we quantify the velocity of blood at the wall. We find tangential wall velocities of about 30--80\% of the mean luminal velocity, providing clear evidence of blood slippage. To our knowledge, this is the first demonstration that the no-slip condition does not apply to blood flow \emph{in vivo}. This finding challenges a fundamental assumption in cardiovascular modeling and directly affects key blood flow characteristics such as pressure drop, vorticity, wall shear stress, and energy dissipation, all of which play important roles across a wide range of cardiovascular conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_18107 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | In vivo evidence of blood flow slippage: failure of the no-slip boundary condition assumption Jarolímová, Alena Hron, Jaroslav Tůma, Karel Málek, Josef Chabiniok, Radomír Rajagopal, Keshava Fluid Dynamics The assumption that blood adheres to vessel walls, the ``no-slip'' boundary condition, is an essential premise of cardiovascular fluid dynamics. Yet, whether it holds true \emph{in vivo} has not been established. Using 4D flow magnetic resonance imaging of the human thoracic aorta and modeling blood as a Navier--Stokes fluid, we quantify the velocity of blood at the wall. We find tangential wall velocities of about 30--80\% of the mean luminal velocity, providing clear evidence of blood slippage. To our knowledge, this is the first demonstration that the no-slip condition does not apply to blood flow \emph{in vivo}. This finding challenges a fundamental assumption in cardiovascular modeling and directly affects key blood flow characteristics such as pressure drop, vorticity, wall shear stress, and energy dissipation, all of which play important roles across a wide range of cardiovascular conditions. |
| title | In vivo evidence of blood flow slippage: failure of the no-slip boundary condition assumption |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2510.18107 |