<b>HAJMIY KAVITATSIYANI INOBATGA OLIB QUVURLARNI GIDRAVLIK ZARBAGA HISOBLASH</b><b></b>

This paper presents an improved numerical method for calculating water hammer in pressurized pipelines under conditions of flow discontinuity and volumetric cavitation. The physical nature of the water hammer phenomenon is analyzed, and the main factors affecting the formation and development of the volumetric cavitation zone are investigated. A mathematical model describing the transient process is developed based on the continuity and momentum equations, and its numerical solution is obtained using the finite difference method. A computational algorithm and a computer program for a simple pressurized pipeline have been developed for implementation on a digital computer. The proposed methodology makes it possible to determine the location of the cavitation zone, its temporal evolution, and the variation of surge pressure with time. The numerical results are compared with available experimental data, demonstrating good agreement and confirming the reliability and practical applicability of the proposed calculation method. The developed approach can be effectively applied to the analysis of water hammer and cavitation phenomena in pumping stations, main water transmission pipelines, and other pressurized pipeline systems. Furthermore, it can be used for evaluating the structural strength of pipelines and for designing protective devices against water hammer

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