Abstract
The micromorphic theory of Eringen is applied to study the tube flow of blood. The blood is considered to be a deformable suspension, with constitutive relations of the form of those of simple microfluids. By means of energy consideration, a relation is established between the local concentration parameter and the measure of rotationality involving both macro-and micromotions. The tube flow problem is then solved with some analyses on viscosity coefficients and boundary conditions. The results obtained indicate an integrated explanation of various important physical phenomena associated with blood flow, such as the tube size dependence of the apparent viscosity and the non-uniform concentration distribution over a tube cross section.
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Kang, C.K., Eringen, A.C. The effect of microstructure on the rheological properties of blood. Bltn Mathcal Biology 38, 135–159 (1976). https://doi.org/10.1007/BF02471753
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DOI: https://doi.org/10.1007/BF02471753