Preprint Article Version 1 This version is not peer-reviewed

A Simplified Model for Predicting Friction Factors of Laminar Blood Flow in Small-Caliber Vessels

Version 1 : Received: 2 September 2018 / Approved: 3 September 2018 / Online: 3 September 2018 (10:58:39 CEST)

A peer-reviewed article of this Preprint also exists.

Mouza, A.A.; Skordia, O.D.; Tzouganatos, I.D.; Paras, S.V. A Simplified Model for Predicting Friction Factors of Laminar Blood Flow in Small-Caliber Vessels. Fluids 2018, 3, 75. Mouza, A.A.; Skordia, O.D.; Tzouganatos, I.D.; Paras, S.V. A Simplified Model for Predicting Friction Factors of Laminar Blood Flow in Small-Caliber Vessels. Fluids 2018, 3, 75.

Journal reference: Fluids 2018, 3, 75
DOI: 10.3390/fluids3040075

Abstract

The aim of this study is to provide the scientists with a straightforward correlation that can be applied for predicting the Fanning friction factor and consequently the pressure drop 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. The study has been conducted using CFD simulations validated with relevant experimental data acquired using an appropriate experimental set-up. The experiments concern 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=5.6cm 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 flow rate, the hematocrit value (35-55%) and the vessel diameter (300-1800 μm) and predicts with better than ±10% the Fanning friction factor and consequently the pressure drop during laminar blood flow in small caliber vessels.

Subject Areas

pressure drop; CFD; Casson fluid; blood; hematocrit; small-vessel; microfluidics

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