One-Dimensional Model of Viscoelastic Blood Flow Through a Thin Elastic Vessel
2015 (English)In: Journal of Mathematical Sciences, ISSN 1072-3374, E-ISSN 1573-8795, Vol. 207, no 2, 249-269 p.Article in journal (Refereed) Published
Based on the three-dimensional Oldroyd viscoelastic fluid model, we develop a simple linear one-dimensional model of blood flow through a thin blood vessel with an elastic multilayer cylindrical wall. Unlike known models, the obtained system of integrodifferential equations with respect to the variables z and t (the longitudinal coordinate ant time) includes the Volterra operator in t, which takes into account the relaxation effect of stresses in a pulsating flow of blood regarded as a many-component viscoelastic fluid. We construct a simplified differential model corresponding to “short-term memory.” We study the effect of high-amplitude longitudinal oscillations of wall under a dissection (lamination). Bibliography: 24 titles. Illustrations: 1 figure.
Place, publisher, year, edition, pages
Springer-Verlag New York, 2015. Vol. 207, no 2, 249-269 p.
IdentifiersURN: urn:nbn:se:liu:diva-121595DOI: 10.1007/s10958-015-2370-0OAI: oai:DiVA.org:liu-121595DiVA: diva2:857073