A Simplified Model for Predicting Friction Factors of Laminar Blood Flow in Small-Caliber Vessels
The aim of this study was to provide scientists with a straightforward correlation that can be applied to the prediction of the Fanning friction factor and consequently the pressure drop that arises during blood flow in small-caliber vessels. Due to the small diameter of the conduit, the Reynolds nu...
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-10-01
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| Series: | Fluids |
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| Online Access: | http://www.mdpi.com/2311-5521/3/4/75 |
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| author | Aikaterini A. Mouza Olga D. Skordia Ioannis D. Tzouganatos Spiros V. Paras |
| author_facet | Aikaterini A. Mouza Olga D. Skordia Ioannis D. Tzouganatos Spiros V. Paras |
| author_sort | Aikaterini A. Mouza |
| collection | DOAJ |
| description | The aim of this study was to provide scientists with a straightforward correlation that can be applied to the prediction of the Fanning friction factor and consequently the pressure drop that arises during blood flow in small-caliber vessels. Due to the small diameter of the conduit, the Reynolds numbers are low and thus the flow is laminar. This study has been conducted using Computational Fluid Dynamics (CFD) simulations validated with relevant experimental data, acquired using an appropriate experimental setup. The experiments relate to the pressure drop measurement during the flow of a blood analogue that follows the Casson model, i.e., an aqueous Glycerol solution that contains a small amount of Xanthan gum and exhibits similar behavior to blood, in a smooth, stainless steel microtube (L = 50 mm and D = 400 μm). The interpretation of the resulting numerical data led to the proposal of a simplified model that incorporates the effect of the blood flow rate, the hematocrit value (35–55%) and the vessel diameter (300–1800 μm) and predicts, with better than ±10% accuracy, the Fanning friction factor and consequently the pressure drop during laminar blood flow in healthy small-caliber vessels. |
| first_indexed | 2024-04-14T05:46:56Z |
| format | Article |
| id | doaj.art-a6537192cb3249589a99b9399023730d |
| institution | Directory Open Access Journal |
| issn | 2311-5521 |
| language | English |
| last_indexed | 2024-04-14T05:46:56Z |
| publishDate | 2018-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fluids |
| spelling | doaj.art-a6537192cb3249589a99b9399023730d2022-12-22T02:09:15ZengMDPI AGFluids2311-55212018-10-01347510.3390/fluids3040075fluids3040075A Simplified Model for Predicting Friction Factors of Laminar Blood Flow in Small-Caliber VesselsAikaterini A. Mouza0Olga D. Skordia1Ioannis D. Tzouganatos2Spiros V. Paras3Department of Chemical Engineering, Aristotle University of Thessaloniki, 541 24 Thessaloniki, GreeceDepartment of Chemical Engineering, Aristotle University of Thessaloniki, 541 24 Thessaloniki, GreeceDepartment of Chemical Engineering, Imperial College, London SW7 2AZ, UKDepartment of Chemical Engineering, Aristotle University of Thessaloniki, 541 24 Thessaloniki, GreeceThe aim of this study was to provide scientists with a straightforward correlation that can be applied to the prediction of the Fanning friction factor and consequently the pressure drop that arises during blood flow in small-caliber vessels. Due to the small diameter of the conduit, the Reynolds numbers are low and thus the flow is laminar. This study has been conducted using Computational Fluid Dynamics (CFD) simulations validated with relevant experimental data, acquired using an appropriate experimental setup. The experiments relate to the pressure drop measurement during the flow of a blood analogue that follows the Casson model, i.e., an aqueous Glycerol solution that contains a small amount of Xanthan gum and exhibits similar behavior to blood, in a smooth, stainless steel microtube (L = 50 mm and D = 400 μm). The interpretation of the resulting numerical data led to the proposal of a simplified model that incorporates the effect of the blood flow rate, the hematocrit value (35–55%) and the vessel diameter (300–1800 μm) and predicts, with better than ±10% accuracy, the Fanning friction factor and consequently the pressure drop during laminar blood flow in healthy small-caliber vessels.http://www.mdpi.com/2311-5521/3/4/75pressure dropCFDCasson fluidbloodhematocritsmall vesselmicrofluidics |
| spellingShingle | Aikaterini A. Mouza Olga D. Skordia Ioannis D. Tzouganatos Spiros V. Paras A Simplified Model for Predicting Friction Factors of Laminar Blood Flow in Small-Caliber Vessels Fluids pressure drop CFD Casson fluid blood hematocrit small vessel microfluidics |
| title | A Simplified Model for Predicting Friction Factors of Laminar Blood Flow in Small-Caliber Vessels |
| title_full | A Simplified Model for Predicting Friction Factors of Laminar Blood Flow in Small-Caliber Vessels |
| title_fullStr | A Simplified Model for Predicting Friction Factors of Laminar Blood Flow in Small-Caliber Vessels |
| title_full_unstemmed | A Simplified Model for Predicting Friction Factors of Laminar Blood Flow in Small-Caliber Vessels |
| title_short | A Simplified Model for Predicting Friction Factors of Laminar Blood Flow in Small-Caliber Vessels |
| title_sort | simplified model for predicting friction factors of laminar blood flow in small caliber vessels |
| topic | pressure drop CFD Casson fluid blood hematocrit small vessel microfluidics |
| url | http://www.mdpi.com/2311-5521/3/4/75 |
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