One-Dimensional Model of Viscoelastic Blood Flow Through a Thin Elastic Vessel
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| 245 | 0 | 0 | |a One-Dimensional Model of Viscoelastic Blood Flow Through a Thin Elastic Vessel |h [Elektronische Daten] |c [V. Kozlov', S. Nazarov] |
| 520 | 3 | |a 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. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 700 | 1 | |a Kozlov' |D V. |u Linköping University, SE-581 83, Linköping, Sweden |4 aut | |
| 700 | 1 | |a Nazarov |D S. |u St. Petersburg State University, St. Petersburg State Polytechnical University, Institute for Problems in Mechanical Engineering RAS, 61, Bolshoi pr. V.O., 199178, St. Petersburg, Russia |4 aut | |
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 207/2(2015-05-01), 249-269 |x 1072-3374 |q 207:2<249 |1 2015 |2 207 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2370-0 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2370-0 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Kozlov' |D V. |u Linköping University, SE-581 83, Linköping, Sweden |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Nazarov |D S. |u St. Petersburg State University, St. Petersburg State Polytechnical University, Institute for Problems in Mechanical Engineering RAS, 61, Bolshoi pr. V.O., 199178, St. Petersburg, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 207/2(2015-05-01), 249-269 |x 1072-3374 |q 207:2<249 |1 2015 |2 207 |o 10958 | ||