Abstract
This paper investigates multiple-valve closures in a simple reservoir-valve-pipeline-valve system. Multiple closing (or opening) of valves may induce large positive or low negative pressure waves due to wave interference (superposition of the waves). The effect of multiple-valve closure can be either beneficial or detrimental, with the outcome being entirely dependent on the position of the valves and the sequence and delay of the closures. Valves are incorporated as boundary conditions in the method of characteristics model. The staggered (diamond) grid with consideration of unsteady skin friction is applied. Experimental investigations of multiple-valve induced water-hammer have been performed in the University of Montenegro laboratory pipeline apparatus. The apparatus consists of an upstream end high-pressurized tank, horizontal steel pipeline (length 55.37 m, inner diameter 18 mm), four valve units positioned along the pipeline including the end points, and a downstream end tank. The transient event is initiated first by rapid closure of the downstream-end valve followed by the delayed closure of the upstream-end valve. Calculated and measured results are compared and discussed in the light of the effects of pressure wave interference.
Highlights
Water hammer may induce large pressure pulsations and pipeline vibrations
Experimental investigations of multiple-valve induced water-hammer have been performed in the University of Montenegro laboratory pipeline apparatus
The apparatus consists of an upstream end highpressurized tank, horizontal steel pipeline, four valve units positioned along the pipeline including the end points, and a downstream end tank
Summary
Water hammer may induce large pressure pulsations and pipeline vibrations. Most of the academic water-hammer research has been done for the classical case of single-valve closure in a simple reservoir-pipeline-valve system [1], [2]. Computed results are compared with the results of measurements for the case of delayed fast closure of the upstream-end valve V0/3U. Simultaneous two-valve closure (Figure 2a) produces pressure head variations at the two far-end valves with a period of 2L/a (two times higher frequency (a/2L) than that for the classical singleclosure case (a/4L; [9])).
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