Normal Waves Arising when Blood Moves Through an Artery
DOI:
https://doi.org/10.15407/ujpe65.5.438Keywords:
artery, normal waves, pulse waveAbstract
A model is proposed of the pulse wave propagation through an artery is proposed. The artery is considered as a cylindrical shell surrounded by an elastic medium. The amplitude and shape of normal waves arising, when blood flows through the artery are determined. Two types of such waves are revealed: zero waves, whose amplitude does not change its sign over the arterial cross-section, and non-zero ones, for which such a change does take place. It is shown that the pulse wave is a wave packet formed by zero normal waves. The non-zero normal waves are found to be localized near the entrance section of the artery, by creating a transition zone whose size is about the arterial radius. The non-zero normal waves are shown to enhance the process of erythrocyte disaggregation in the transition zone.
References
C.G. Caro, T.J. Pedley, R.C. Schroter, W.A. Seed. The Mechanics of the Circulation (Cambridge Univ. Press, 2012) [ISBN: 978-1-13-901340-6].
L.A. Bulavin, G.V. Knyshov, Yu.F. Zabashta, B.V. Batsak, S.V. Severilov. Flow perturbation at invasive measurement of blood pressure. Ross. Zh. Biomekh. 17, 29 (2013) (in Russian).
L.A. Bulavin, G.V. Knyshov, Yu.F. Zabashta, B.V. Batsak, E.M. Trembovetskaya. Ultrasonic method for measuring pulse blood pressure. Tekhn. Zhiv. Sist. 3, 56 (2016) (in Russian).
L.A. Bulavin, Yu.F. Zabashta, B.V. Batsak, E.M. Trembovets'ka. Evaluation of arterial wall elasticity during ultrasound diagnostics. Ukr. J. Phys. 62, 378 (2017). https://doi.org/10.15407/ujpe62.05.0378
K. Azer, Ch.S. Peskin. A one-dimensional model of blood flow in arteries with friction and convection based on the Womersley velocity profile. Cardiovasc. Eng. 7, 51 (2007). https://doi.org/10.1007/s10558-007-9031-y
M.A. Isakovich. General Acoustics (Nauka, 1973) (in Russian).
L.D. Landau, E.M. Lifshitz. Fluid Mechanics (Elsevier, 2013) [ISBN: 978-0-750-62767-2].
L.A. Bulavin, Yu. F. Zabashta. Ultrasonic Diagnostics in Medicine: Physical Foundations (CRC Press, 2007) [ISBN: 978-9-067-64446-4]. https://doi.org/10.1201/b12198
A. F. Nikiforov and V. B. Uvarov. Special Functions of Mathematical Physics (Birkh¨auser, 1988). https://doi.org/10.1007/978-1-4757-1595-8
L.I. Sedov. Mechanics of Continuous Media (World Scientific, 1997). https://doi.org/10.1142/0712-vol1
V.A. Levtov, S.A. Regirer, N.Kh. Shadrina. Blood Rheology (Meditsina, 1982) (in Russian).
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