title: Obtaining the shear stress versus shear rate relationship and yield stress of blood from capillary viscometry data by Tikhonov regularization.
abstract: This paper describes a procedure, based on Tikhonov regularization, for extracting the shear stress versus shear rate relationship and yield stress of blood from capillary viscometry data. The relevant equations and the mathematical nature of the problem are briefly described. The procedure is then applied to three sets of capillary viscometry data of blood taken from the literature. From each data set the procedure computes the complete shear stress versus shear rate relationship and the yield stress. Since the procedure does not rely on any assumed constitutive equation, the computed rheological properties are therefore model-independent. These properties are compared against one another and against independent measurements. They are found to be in good agreement for shear stress greater than 0.1 Pa but show significant deviations for shear stress below this level. A possible way of improving this situation is discussed.
authors.affiliation: Department of Chemical Engineering, The University of Melbourne, Melbourne, Victoria, Australia. yly@unimelb.edu.au
authors.forename: Y Leong
authors.initials: YL
authors.lastname: Yeow
authors.forename: Yee-Kwong
authors.initials: YK
authors.lastname: Leong
authors.forename: S Ranil
authors.initials: SR
authors.lastname: Wickramasinghe
authors.forename: Binbing
authors.initials: B
authors.lastname: Han
mesh_terms: D001809:Blood Viscosity / Q000502:physiology*; D002196:Capillaries / Q000502:physiology*; D004548:Elasticity; D004912:Erythrocytes / Q000502:physiology*; D018056:Hemorheology / Q000379:methods*; D008954:Models, Biological; D013314:Stress, Mechanical