Linear stability analysis of blood flow in small vessels

We investigate the linear stability of unidirectional Poiseuille flow of blood modeling the fluid as a spatially inhomogeneous fluid in which viscosity depends on the red blood cell concentration (RBCs). We consider small vessels like arteries terminal branches, arterioles or venules, where the inho...

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Autores principales:	L. Fusi, A. Farina
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2020
Materias:	Linear stability Blood flow Microvessels Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/09d04171854841e688417e2471ef41d5
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spelling	oai:doaj.org-article:09d04171854841e688417e2471ef41d52021-12-01T05:05:14ZLinear stability analysis of blood flow in small vessels2666-496810.1016/j.apples.2020.100002https://doaj.org/article/09d04171854841e688417e2471ef41d52020-03-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2666496820300029https://doaj.org/toc/2666-4968We investigate the linear stability of unidirectional Poiseuille flow of blood modeling the fluid as a spatially inhomogeneous fluid in which viscosity depends on the red blood cell concentration (RBCs). We consider small vessels like arteries terminal branches, arterioles or venules, where the inhomo-geneity is due to the non uniform distribution of RBCs on the vessel cross section. The stability analysis is performed applying the classical normal-mode linear analysis which results in a fourth-order eigenvalue problem that is solved numerically. The results obtained indicates that the flow is unconditionally unstable. However, those patterns in which the RBCs concentration decreases towards the vessel walls show growth rates so small that the observability of the instability requires a very large time. Conversely, the growth rates associated to the profiles in which the RBCs concentration increases toward the vessel walls are at least three order of magnitude larger than the previous case. We therefore believe that those distributions in which the RBCs are more concentrated around the vessel center are to be considered more “stable” than those in which RBCs accumulate towards the vessel walls.L. FusiA. FarinaElsevierarticleLinear stabilityBlood flowMicrovesselsEngineering (General). Civil engineering (General)TA1-2040ENApplications in Engineering Science, Vol 1, Iss , Pp 100002- (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Linear stability Blood flow Microvessels Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	Linear stability Blood flow Microvessels Engineering (General). Civil engineering (General) TA1-2040 L. Fusi A. Farina Linear stability analysis of blood flow in small vessels
description	We investigate the linear stability of unidirectional Poiseuille flow of blood modeling the fluid as a spatially inhomogeneous fluid in which viscosity depends on the red blood cell concentration (RBCs). We consider small vessels like arteries terminal branches, arterioles or venules, where the inhomo-geneity is due to the non uniform distribution of RBCs on the vessel cross section. The stability analysis is performed applying the classical normal-mode linear analysis which results in a fourth-order eigenvalue problem that is solved numerically. The results obtained indicates that the flow is unconditionally unstable. However, those patterns in which the RBCs concentration decreases towards the vessel walls show growth rates so small that the observability of the instability requires a very large time. Conversely, the growth rates associated to the profiles in which the RBCs concentration increases toward the vessel walls are at least three order of magnitude larger than the previous case. We therefore believe that those distributions in which the RBCs are more concentrated around the vessel center are to be considered more “stable” than those in which RBCs accumulate towards the vessel walls.
format	article
author	L. Fusi A. Farina
author_facet	L. Fusi A. Farina
author_sort	L. Fusi
title	Linear stability analysis of blood flow in small vessels
title_short	Linear stability analysis of blood flow in small vessels
title_full	Linear stability analysis of blood flow in small vessels
title_fullStr	Linear stability analysis of blood flow in small vessels
title_full_unstemmed	Linear stability analysis of blood flow in small vessels
title_sort	linear stability analysis of blood flow in small vessels
publisher	Elsevier
publishDate	2020
url	https://doaj.org/article/09d04171854841e688417e2471ef41d5
work_keys_str_mv	AT lfusi linearstabilityanalysisofbloodflowinsmallvessels AT afarina linearstabilityanalysisofbloodflowinsmallvessels
_version_	1718405520926179328

Linear stability analysis of blood flow in small vessels

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