Abstract. The paper deals with the problem of pulsating flow of an incompressible viscous fluid in a permeable-walled flat channel. In this case, the length of the flat channel is considered to be large enough. That is, the ratio of channel width to channel length is small enough, the ratio of transverse velocity to longitudinal velocity, and the Reynolds number are also sufficiently small that the Nave-Stokes equation dashed and the necessary boundary conditions are formed. As a result of solving the problem, appropriate formulas were obtained and analyzes were performed. Based on the results of the analysis, it is shown that the pulse wave propagation velocity at sufficiently small values of the oscillation frequency parameter is determined by the formula - formula, and this formula is accepted as the base pulse wave propagation velocity. It was shown that the pulse wave propagation velocity did not differ significantly from the base pulse wave propagation velocity at small values of the oscillation frequency parameter, and that the pulse wave propagation velocity at its large values differed significantly from its base velocity. In addition, the attenuation of the pulse wave depending on the oscillation frequency parameter was analyzed, it was found that at low values of the oscillation frequency parameter the attenuation of the wave is almost non-existent, and at its large values the attenuation rate increases significantly.
References:
1. Navruzov K. Gidrodinamika pul'siruyushchikh techeniy v truboprovodakh. Tashkent Fan. 1986, s.112
2. Fayzullayev D.F., Navruzov K. Gidrodinamika pul'siruyushchikh potokov. Tashkent Fan. 1986, s.192
3. Slezkin N.A. Dinamika vyazkoy neszhimayemoy zhidkosti. – M.: Gostekhizdat, 1956. – 520 s.
4. Targ S.M. Osnovnyye zadachi teorii laminarnykh techeniy. – M.: Gostikhizdat, 1954. – 420 s.
5. Laytfut E. Yavleniya perenosa v zhivykh sistemakh. – M, 1977. – 520 s.
6. Landau L.D., Lipshits Ye.M. Teoreticheskaya fizika. T. VI. Gidromekhanika. – M.: Nauka,1986. – S. 736 s.
7. Loytsyanskiy L.G. Mekhanika zhidkosti i gaza. – M.: Nauka, 1973. – 877 s.
8. Pedli T. Gidrodinamika krupnykh krovenosnykh sosudov. – M.: Mir, 1983. – 400 s.
9. Gromeka I.S. K teorii dvizheniya zhidkosti v uzkikh tsilindricheskikh trubkakh. – M., 1952. – S. 149-171.
10. Gromeka I.S. O skorosti rasprostraneniya volnoobraznogo dvizheniya zhidkosti v uprugikh trubakh. Sobr. soch. – M., 1952. – S. 172-183.
11. Navruzov K.N. Impedansnyy metod opredeleniya gidravlicheskogo soprotivleniya v arterial'nykh sosudakh // «Ilm sarchashmalari», UrDU, 2016, №7, s. 20-23.
12. Navruzov K.N. Impedansnyy metod opredeleniya gidravlicheskogo soprotivleniya v krupnykh arterial'nykh sosudakh s pronitsayemymi stenkami// «Ilm sarchashmalari», UrDU, 2016, №9
13. Navruzov K., Razhabov S., Shukurov Z. Impedansnyy metod opredeleniya gidravlicheskogo soprotivleniya v krupnykh arterial'nykh sosudakh s pronitsayemymi stenkami // Ilm sarchashmalari, 2017, №4. – S. 12-13.
14. Navruzov K., Razhabov S., Shukurov Z. O pul'siruyushchem techenii v krupnykh arterial'nykh sosudakh s uchetom uprugopronitsayemosti stenki // Ilm sarchashmalari, 2017, №11. – S. 31-37
15. Navruzov K., Razhabov S.KH., Shukurov Z.K, Impedansnyy metod opredeleniya gidravlicheskogo soprotivleniya v krupnykh arterial'nykh sosudakh s pronitsayemymi stenkami // Uzb. zhurn. «Problemy mekhaniki». 2017, №3-4. – S. 28-32.
16. 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.
17. Abdikarimov F.B., Navruzov K.N., Razhabov S.X., Shukurov Z.K. Impedant method for determining the reduction of hydraulic resistance in large arterial vessels with permafle walls // Journal of Applied Biotechnology & Bioengineering. 2018; 5(2): 79-82.
18. Navruzov K., Begjanov A.Sh. Method for determining hydraulic resistance during fluid flow in pipes //Electronic journal of actual problems of modern science, education and training 2019 II.
19. 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, issue 03, 2020.
20. Abdikarimov F.B., Navruzov K.N. Mathematical method of pulsation movement of blood in large arteries // European journal of molecular & clinical medicine, ISSN 2515-8260 volume 7, issue 8, 2020. P.1438-1444
21. Navruzov K.N., Abdukarimov F.B. Gidrodinamika pul'siruyushchikh techeniy krovi. Germaniya, «Lap-Lambert», 2015, 209 s.
22. 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.
23. 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.
24. Womersly I.R. Oscillatory low 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.
25. 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.
26. Womersly I.R. Oscillatory flow in arteries 111. Flow and pulsevelocity formulae for a liquid whose viscosity varies with frequency. Phys. Med. Biol., 1958, 2, N 4, p. 374-382.