Obtaining the Shear Stress versus Shear Rate Relationship and Yield Stress of Blood from Capillary Viscometry Data by Tikhonov Regularization

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• 作者：Y. Leong Yeow ; Yee-Kwong Leong ; S. Ranil Wickramasinghe ; and Binbing Han
• 刊名：Biotechnology Progress
• 出版年：2002
• 出版时间：August 2002
• 年：2002
• 卷：18
• 期：4
• 页码：879 - 884
• 全文大小：65K
• 年卷期：v.18,no.4(August 2002)
• ISSN：1520-6033

文摘

This paper describes a procedure, based on Tikhonov regularization, for extractingthe shear stress versus shear rate relationship and yield stress of blood from capillaryviscometry data. The relevant equations and the mathematical nature of the problemare briefly described. The procedure is then applied to three sets of capillary viscometrydata of blood taken from the literature. From each data set the procedure computesthe complete shear stress versus shear rate relationship and the yield stress. Sincethe procedure does not rely on any assumed constitutive equation, the computedrheological properties are therefore model-independent. These properties are comparedagainst one another and against independent measurements. They are found to be ingood agreement for shear stress greater than 0.1 Pa but show significant deviationsfor shear stress below this level. A possible way of improving this situation is discussed.