Simplification of differential equations of elastic viscous fluid motion in pipes and ducts
Abstract
A completely linear form of the system of equations representing the flow of elastic viscous fluid in flat channels and circular cylindrical tubes was obtained, and it was possible to obtain an analytical solution for small amplitude oscillations
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References
Fayzullayev D.F., Navruzov K. Gidrodinamika pul'siruyushchikh potokov . Tashkent Fan. 1986, s.192
Slezkin N.A. Dinamika vyazkoy neszhimayemoy zhidkosti. – M.: Gostekhizdat, 1956. – 520 s.
Targ S.M. Osnovnyye zadachi teorii laminarnykh techeniy. – M.: Gostikhizdat, 1954. – 420 s.
Laytfut E. Yavleniya perenosa v zhivykh sistemakh. – M, 1977. – 520 s.
Landau L.D., Lipshits Ye.M. Teoreticheskaya fizika. T. VI. Gidromekhanika. – M.: Nauka,1986. – S. 736 s.
Loytsyanskiy L.G. Mekhanika zhidkosti i gaza. – M.: Nauka, 1973. – 877 s.
Pedli T. Gidrodinamika krupnykh krovenosnykh sosudov. – M.: Mir, 1983. – 400 s.
Gromeka I.S. K teorii dvizheniya zhidkosti v uzkikh tsilindricheskikh trubkakh. – M., 1952. – S. 149-171.
Navruzov K.N., Rajabov S.X., Shukurov Z.K., Begjanov A., Babajonova Y. On the reduction of the resistance in the central arterial vessel // Asian Journal of Research. - №12(12), 2017. – Р. 30-31.
Navruzov K., Begjanov A.,Sh. Method for determining hydraulic resistance during fluid flow in pipes //Electronicjournal of actual problems of modern science, education and training 2019 II.
Navruzov K., Kujatov N., Begjanov A. Stationary flow of a viscous fluid in a flat channel with permeable walls (in the example of blood circulation) //European journal of molecular & clinical medicine, ISSN 2515-8260 volume 07, issue03, 2020.
Womersly I.R. An elastic tube theory of pulse transmission and oscillatory flow in mammalian arteries.Wright Air Development Center Techn. Rep. TR 56-614, Wright-Ratlerson AFB., Chio, 1957.
Womersly I.R. Method for the calculation of velocity rate of flow and viscous drag in arteries when the pressure gradient is known. I.: Physiol, 1955, 127, N 3, p. 553-563.
Womersly I.R. Oscillatory flow in arteries: the constrained elastic tube as a model of arterial flow and pulse transmission. Phys. Med. Biol., 1957, 2, N 2,
p. 178-187.
Womersly I.R. Oscillatory flow in arteries 11. The reflection of the pulse wave at junctions and rigid inserts in the arterial system. Phys. Med. Biol., 1958, 2, n 4, p. 313-323.
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