The article is devoted to the calculation of a hydraulic shock absorber with a diaphragm installed at the end of a pressure pipeline. Theoretical solutions of hyperbolic type wave equations for a polytropic process (n=1.20) are proposed.

To dampen the intensity of hydraulic shock from increasing pressure in pressure-hydraulic systems, an effective design of a hydraulic shock absorber with a diaphragm is proposed.

The article presents the results of analytical and experimental studies of water hammer in the presence of a damper. The results of the proposed method for calculating the water hammer are in good agreement with the experimental data. This confirms the reliability of the proposed analytical method for calculating the water hammer.

hydraulic shock, pressure pipeline, hydraulic shock absorber, pressure-hydraulic system, damper with a diaphragm, positive hydraulic shock.

Zhukovsky N.E. On Hydraulic Hammer in Water Pipes. Moscow, Gostekhizdat, 1949. 104 p.

Charny I.A. Unsteady Motion of Real Fluid in Pipes. Moscow, Nedra, 1975. 296 p.

Evangelisti G. Il colpo d’aviete nelle condotte munite di camera d’avia elevator. L’Energia, Elektrica. Milano, 1938, no. 9, pp. 600-615.

Dikarevsky V.S. Water Pipes. Monograph. Proceedings of the Russian Academy of Architecture and Construction Sciences. Construction Sciences. Vol. 3 – Moscow: RAASN, 1997. 200 p.

Darson F.M., Kalinske A.A. Methods of calculating water-hammer pressures. – Journal of the AWWA, 1939, v.31, no. 11, pp.1835-1864.

Lyamaev B.F., Nelyubov G.P., Nebolsin V.A. Stationary and transient processes in complex hydraulic systems. – Leningrad: Mashinostroenie, 1978. – 192 p.

Fox D.A. Hydraulic analysis of unsteady state in pipelines. – Moscow: Energoizdat, 1981. – 247 p.

Arifzhonov A.M., Zhonkobilov U.U., L.N. Samiev, L.N., Ibragimova Z.I., Apakhuzhaeva T.U. Methodology for calculating an air-hydraulic cap with a diaphragm. Collection of articles of the IX International Scientific and Practical Conference "Innovative Technologies in Science and Education" - Penza, October 20, 2018. - pp. 29-32.

Jonkobilov U., Jonkobilov S., Rajabov U., Bekjonov R., Norchayev, A. Shock wave velocity in two-phase pressure flow. IOP Conference Series: Materials Science and Engineering. 2021. 1030. Pp. 012129. DOI: 10.1088/1757-899X/1030/1/012129.

Arifjanov A., Jonqobilov U., Jonqobilov S., Khushiev Sh., and Xusanova J. The influence of hydraulic friction on the maximum pressure of water hammer. IOP Conf. Series: Earth and Environmental Science. 2020. 614. Pp. 012092. DOI:10.1088/1755-1315/614/1/012092.

Al-Khomairi A.M., Plastic water hammer damper, Aust. J. Civ. Eng. 8 (1) (2010) 73–81.

Kim S.G., Lee K.B., Kim K.Y., Water hammer in the pump-rising pipeline system with an air chamber, J. Hydrodyn. Ser. B 26 (6) (2015) 960–964.

Moghaddas S., The steady-transient optimization of water transmission pipelines with consideration of water-hammer control devices: a case study, J. Water Supply Res. Technol. - Aqua 67 (6) (2018) 556–565.

Kim S. Impulse response method for pipeline systems equipped with water hammer protection devices [J]. Journal of Hydraulic Engineering, ASCE, 2008, 134(7): 961–969.

Zhonkobilov U. U., Zhonkobilov S. U., Razhabov U. M., Khushiev Sh. P. Accounting for the influence of the polytropic coefficient on hydraulic hammer with a two-component flow// Innovatsion tekhnologilar zhurnal makhsus son, Karshi 2021, pp. 43–47.