Abstract
The viscosity of blood, measured by the usual viscometers in which slip is not considered, is found to be flow dependent, varying markedly with shear rate, pressure gradient, and vessel diameter in the lower ranges of these factors. The study postulates, on grounds thought reasonable, that slip may be present in blood flow, as a function of the nature of the wall surfaces, shear stress at the wall, and relative cell volume (RCV) adjacent to the wall. It presumes that blood possesses a specific, flow-independent viscosity, and determines theoretically the viscosity indications of viscometers if blood slipped in the instruments. The study shows that if the slip function is of a certain plausible form, these viscosity indications would exhibit a flow dependence of much the same pattern as the actual indications supplied by the usual viscometers. The slip postulate permits, therefore, an interpretation of the “anomalous” flow behavior of blood, dispensing with the prevailing assumption of an ad hoc variability of its viscosity with flow factors. To the extent that viscometric data for blood may be representative of other non-newtonian fluids, the slip postulate may be applicable to these fluids.
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Selected References
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- BLOCH E. H. A quantitative study of the hemodynamics in the living microvascular system. Am J Anat. 1962 Mar;110:125–153. doi: 10.1002/aja.1001100204. [DOI] [PubMed] [Google Scholar]
- BUGLIARELLO G., HAYDEN J. W. High-speed microcinematographic studies of blood flow in vitro. Science. 1962 Nov 30;138(3544):981–983. doi: 10.1126/science.138.3544.981. [DOI] [PubMed] [Google Scholar]
- Charm S. E., Kurland G. S. Discrepancy in measuring blood in couette, cone and plate, and capillary tube viscometers. J Appl Physiol. 1968 Dec;25(6):786–789. doi: 10.1152/jappl.1968.25.6.786. [DOI] [PubMed] [Google Scholar]
- Chien S., Usami S., Dellenback R. J., Gregersen M. I. Blood viscosity: influence of erythrocyte deformation. Science. 1967 Aug 18;157(3790):827–829. doi: 10.1126/science.157.3790.827. [DOI] [PubMed] [Google Scholar]
- Chien S., Usami S., Dellenback R. J., Gregersen M. I., Nanninga L. B., Guest M. M. Blood viscosity: influence of erythrocyte aggregation. Science. 1967 Aug 18;157(3790):829–831. doi: 10.1126/science.157.3790.829. [DOI] [PubMed] [Google Scholar]
- Chien S., Usami S., Taylor H. M., Lundberg J. L., Gregersen M. I. Effects of hematocrit and plasma proteins on human blood rheology at low shear rates. J Appl Physiol. 1966 Jan;21(1):81–87. doi: 10.1152/jappl.1966.21.1.81. [DOI] [PubMed] [Google Scholar]
- Gregersen M. I., Bryant C. A., Hammerle W. E., Usami S., Chien S. Flow Characteristics of Human Erythrocytes through Polycarbonate Sieves. Science. 1967 Aug 18;157(3790):825–827. doi: 10.1126/science.157.3790.825. [DOI] [PubMed] [Google Scholar]
- HAYNES R. H. Physical basis of the dependence of blood viscosity on tube radius. Am J Physiol. 1960 Jun;198:1193–1200. doi: 10.1152/ajplegacy.1960.198.6.1193. [DOI] [PubMed] [Google Scholar]
- MAUDE A. D., WHITMORE R. L. Theory of the flow of blood in narrow tubes. J Appl Physiol. 1958 Jan;12(1):105–113. doi: 10.1152/jappl.1958.12.1.105. [DOI] [PubMed] [Google Scholar]
- Nubar Y. Effect of slip on the rheology of a composite fluid: application to blood. Biorheology. 1967 Sep;4(4):133–150. doi: 10.3233/bir-1967-4401. [DOI] [PubMed] [Google Scholar]
- WELLS R. E., Jr, MERRILL E. W. Shear rate dependence of the viscosity of whole bllod and plasma. Science. 1961 Mar 17;133(3455):763–764. doi: 10.1126/science.133.3455.763. [DOI] [PubMed] [Google Scholar]