Paper Number
PO98
Session
Poster Session
Title
A rheological constitutive model for human blood via population balance modeling
Presentation Date and Time
October 23, 2019 (Wednesday) 6:30
Track / Room
Poster Session / Ballroom C on 4th floor
Authors
- Jariwala, Soham (University of Delaware, Chemical & Biomolecular Engineering)
- Horner, Jeffrey S. (University of Delaware, Chemical and Biomolecular Engineering)
- Beris, Antony N. (University of Delaware, Chemical and Biomolecular Engineering)
- Wagner, Norman J. (University of Delaware, Chemical and Biomolecular Engineering)
Author and Affiliation Lines
Soham Jariwala, Jeffrey S. Horner, Antony N. Beris, and Norman J. Wagner
Chemical and Biomolecular Engineering, University of Delaware, Newark, DE 19716
Speaker / Presenter
Jariwala, Soham
Text of Abstract
Human blood has been a subject of rheological studies, both experimental and mathematical, that aim at describing the origin of its vexing properties like yield stress, thixotropy, viscoelasticity, and shear thinning. Although blood is a dense suspension consisting of platelets, fibrinogen, plasma, and red blood cells (RBCs), much of its complex rheology at low deformation rates is a result of RBCs forming coin-stack like aggregates called rouleaux. While the thixotropic rheology of blood has been modeled using structure kinetics approaches [1], there is a need for a more predictive physically based description that could potentially be used for diagnostic purposes. Better insight into the microstructure-rheology relationship underlying rouleaux formation could enable us to probe diseases and develop new health diagnostic tools based on changes in the rheological properties of blood.
In this work, we adapt a population balance-based approach first proposed by Mwasame et al. [2] to model the rheological effects of rouleaux formation in blood in the context of rheometric flows. Population balances are a powerful alternative to the existing structure kinetics models as they use a statistical approach to describe the aggregate size distribution with well-defined processes for both shear-induced and Brownian aggregation and breakup under shear flow. The rouleaux are described using independently validated rate kernels in the literature based on Smoluchowski aggregation and breakage model proposed by Spicer & Pratsinis. The model is fit and validated against rheometric measurements, including steady shear, transient, and uni-directional large-amplitude oscillatory shear (UD-LAOS) experiments, of whole blood, and compared against existing structure kinetics models [1]. Prospects for improvements in the modeling method will also be discussed.
1. JS Horner, MJ Armstrong, NJ Wagner, and AN Beris, J. Rheol. 62, 577 (2018).
2. PM Mwasame, AN Beris, RB Diemer, and NJ Wagner, AIChE J. 63, 517 (2017).