A mathematical model of viscous fluid flow in the gap of a disk pump with nonplane disks has been developed. The characteristics of the pump — flow velocity, pressure drop, stress tensor, and the hydraulic coefficient of pump efficiency — have been calculated. A local pressure minimum in the pump has been detected, which leads to local ″choking″ of flow and to a decrease in the pressure characteristics and in the pump efficiency. The parameters causing the local ″choking″ of flow have been found, and the means of overcoming this phenomenon are indicated. An optimum inner radius of the disk at which maximum pressure drop and efficiency of the disk pump are achieved has been established, which made it possible to calculate the optimum parameters of the pump′s disk packet.
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References
V. I. Misyura, B. V. Ovsyannikov, and V. F. Prisnyakov, Disk Pumps [in Russian], Mashinostroenie, Moscow (1986).
A. M. Chernyavskii, A. M. Karas′kov, D. V. Doronin, et al., Experience in the use of implanted systems for mechanical support of the heart "INCOR," Vestn. Transplantol. Iskusstv. Org., XV, No. 4, 84–91 (2013).
A. E. Medvedev, Two-phase model of blood flow, Ross. Zh. Biomekh., 17, No. 4 (62), 22–36 (2013).
A. E. Medvedev and V. M. Fomin, Two-phase model of blood flow in large and small blood vessels, Dokl. Akad. Nauk, 441, No. 4, 476–479 (2011).
G. E. Miller, B. D. Etter, and J. M. Dorsi, A multiple disk centrifugal pump as a blood flow device, IEEE Trans. Biomed. Eng., 37, No. 2, 157–163 (1990).
G. E. Miller, A. Sidhu, R. Fink, et al , Evaluation of a multiple disk centrifugal pump as an artificial ventricle, Artificial Organs, 17, No. 7, 590–592 (1993).
G. E. Miller, M. Madigan, and R. Fink, A preliminary flow visualization study in a multiple disk centrifugal artificial ventricle, Artificial Organs, 19, No. 7, 680–684 (1995).
G. E. Miller and R. Fink, Analysis of optimal design configurations for a multiple disk centrifugal blood pump, Artificial Organs, 23, No. 6, 559–565 (1999).
V. Izraelev, W. J. Weiss, B. Fritz, et al., A passive-suspended Tesla pump left ventricular assist device, ASAIO J., 55, No. 6, 556–561 (2009).
R. B. Medvitz, D. A. Boger, V. Izraelev, et al., CFD design and analysis of a passively suspended Tesla pump left ventricular assist device, Artificial Organs, 35, No. 5, 522–533 (2011).
M. Batista, Steady flow of incompressible fluid between two co-rotating disks, Appl. Math. Modell., 35, 5225–5233 (2011).
L. G. Loitsyanskii, Mechanics of Liquids and Gases [in Russian], Nauka, Moscow (1978).
M. C. Breiter and M. Pohlhausen, Lami nar flow between two parallel rotating disks, Aerospace Research Laboratories (US), Dayton, Ohio (1962).
C.-S. Jhun, R. Newswanger, J. Cysyk, et al., Tesla-based blood pump and its applications, Trans. ASME, 7, No. 4, 040917–040918 (2013).
T. G. Papaioannou and C. Stefanadis, Vascular wall shear stress: basic principles and methods, Hellenic J. Cardiol., 46, 9−15 (2005).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 90, No. 6, pp. 1553–1562, November–December, 2017.
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Medvedev, A.E., Prikhod’ko, Y.M., Fomin, V.M. et al. Mathematical Model of Fluid Flow Between Rotating Nonplane Disks. J Eng Phys Thermophy 90, 1479–1487 (2017). https://doi.org/10.1007/s10891-017-1709-4
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DOI: https://doi.org/10.1007/s10891-017-1709-4