## COMPARISON STUDY OF HAMMERING PHENOMENON FOR HYDRAULIC SYSTEMS USING VARIOUS MATHEMATICAL APPROACHES

Author(s):

Maher Abdul Ameer1, Ziyad Muhamed Sheet Hamid2, Mohammed Ali Karim Najmaldin3, Riyad Jassim Tilefih4 and Amjed Al-Khateeb5

Affiliation(s):

1Lecturer, Al-shatra Technical Institute, Southern technical college

2Assistant Lecturer, Mosul Technical Institute, Northern Technical University

3Lecturer, Technical College of Al-Najaf, Al-Furat Al-Awsat Technical University 31001 Al-Najaf, Iraq

4Assistant Professor, Najaf Technical Institute, Al-Furat Al-Awsat Technical University 31001 Al-Najaf, Iraq, Department of Aeronautical Technologies

5Assistant Lecturer, Najaf Technical Institute, Al-Furat Al-Awsat Technical University 31001 Al-Najaf, Iraq, Department of Aeronautical Technologies

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In this paper, a theoretical comparison was made of the state of the current flow in the pumping networks between the two methods, the first hydraulic analysis, the most common or so-called method of properties and is used in the analysis on the time range and the second method is called the method of frequency range. For the purpose of comparison, two types of networks that suffer from the phenomenon of transitional flow or so-called water hammer were studied. The first is a simple network without extensions or fittings. This kind of network is far from reality, because real networks are usually many extensions and branches. The second network is more complex and closer to reality. The results of the analysis showed that the two methods gave identical results to the first network. However, the results were not identical in the second most complex network, where it was clearly observed that the first method felt that the water hammer phenomenon was more than the second method from reality.