Subani, Norazlina; Amin, Norsarahaida Analysis of water hammer with different closing valve laws on transient flow of hydrogen-natural gas mixture. (English) Zbl 1351.76267 Abstr. Appl. Anal. 2015, Article ID 510675, 12 p. (2015). Summary: Water hammer on transient flow of hydrogen-natural gas mixture in a horizontal pipeline is analysed to determine the relationship between pressure waves and different modes of closing and opening of valves. Four types of laws applicable to closing valve, namely, instantaneous, linear, concave, and convex laws, are considered. These closure laws describe the speed variation of the hydrogen-natural gas mixture as the valve is closing. The numerical solution is obtained using the reduced order modelling technique. The results show that changes in the pressure wave profile and amplitude depend on the type of closing laws, valve closure times, and the number of polygonal segments in the closing function. The pressure wave profile varies from square to triangular and trapezoidal shape depending on the type of closing laws, while the amplitude of pressure waves reduces as the closing time is reduced and the numbers of polygonal segments are increased. The instantaneous and convex closing laws give rise to minimum and maximum pressure, respectively. MSC: 76N15 Gas dynamics (general theory) × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Afshar, H.; Kerachian, R.; Bazargan-Lari, M. R.; Niktash, A. R., Developing a closing rule curve for valves in pipelines to control the water hammer impacts: application of the NSGA-II optimization model, Proceedings of the 7th International Pipelines Conference (IPC ’08), American Society of Civil Engineering Pipelines (ASCE) · doi:10.1061/40994(321)72 [2] Wood, D. J.; Lingireddy, S.; Karney, B. W.; Mcpherson, D. L., Numerical Methods for modelling transient flow in distribution systems, Journal American Water Works Association, 97, 7, 104-115 (2005) [3] Lee, J.-S.; Kim, B.-K.; Lee, W.-R.; Oh, K.-Y., Analysis of water hammer in pipelines by partial fraction expansion of transfer function in frequency domain, Journal of Mechanical Science and Technology, 24, 10, 1975-1980 (2010) · doi:10.1007/s12206-010-0708-6 [4] Karney, B. W.; Ruus, E., Charts for water hammer in pipelines resulting from valve closure from full opening only, Canadian Journal of Civil Engineering, 12, 2, 241-264 (1985) · doi:10.1139/l85-027 [5] Provenzano, P. G.; Baroni, F.; Aguerre, R. J., The closing function in the water hammer modeling, Latin American Applied Research, 41, 1, 43-47 (2011) [6] Ghidaoui, M. S.; Zhao, M.; McInnis, D. A.; Axworthy, D. H., A review of water hammer theory and practice, Applied Mechanics Reviews, 58, 1, 49-76 (2005) · doi:10.1115/1.1828050 [7] Menabrea, L. F., Note sur les effets du choc de l’eau dans les conduites, Comptes Rendus Hebdomadaires des Seances de l’Academie des Sciences, 47, 221-224 (1885) [8] Michaud, J., Coups de bélier dans les conduites. Étude des moyens employés pour en atténeur les effects, Bulletin de la Société Vaudoise des Ingénieurs et des Architectes, 4, 3-4, 56-64, 65-77 (1878) [9] Charles, B. V., Analysis of water hammer in pipes with non-condensable gases, Proceedings of the AMSE Pressure Vessels and Piping Division Conference (PVP ’09) [10] Fouzi, A.; Ali, F., Comparative study of the phenomenon of propagation of elastic waves in conduits, Proceedings of the World Congress on Engineering (WCE ’11) [11] Mansuri, B.; Salmasi, F.; Oghati, B., Sensitivity analysis for water hammer problem in pipelines, Iranica Journal of Energy and Environment, 5, 2, 124-131 (2014) · doi:10.5829/idosi.ijee.2014.05.02.03 [12] Elaoud, S.; Hadj-Taïeb, E., Transient flow in pipelines of high-pressure hydrogen-natural gas mixtures, International Journal of Hydrogen Energy, 33, 18, 4824-4832 (2008) · doi:10.1016/j.ijhydene.2008.06.032 [13] Allievi, L., Theorie generale du movement varié de l’eau dans les tuyaux de conduit, Mechanical Review, 14, 10-22, 230-259 (1904) [14] Streeter, V. L., Water hammer analysis, Journal of the Hydraulics Division, 95, 6 (1969) [15] Wiggert, D. C.; Sundquist, M. J., Fixed grid characteristics for pipeline transients, Journal of Hydraulic ASCE, 103, 12, 1403-1416 (1977) [16] Watt, C. S.; Hobbs, J. M.; Boldy, A. P., Hydraulic transients following valve closure, Journal of Hydraulic ASCE, 106, 1980, 1627-1640 (1980) [17] Chaudhry, M. H.; Hussaini, M. Y., Second-order accurate explicit finite-difference schemes for water hammer analysis, Journal of Fluids Engineering, 107, 4, 523-529 (1985) · doi:10.1115/1.3242524 [18] Pezzinga, G., Evaluation of unsteady flow resistances by quasi-2D or 1D models, Journal of Hydraulic Engineering, 126, 10, 778-785 (2000) · doi:10.1061/(ASCE)0733-9429(2000)126:10(778) [19] Behbahani-Nejad, M.; Shekari, Y., The accuracy and efficiency of a reduced-order model for transient flow analysis in gas pipelines, Journal of Petroleum Science and Engineering, 73, 1-2, 13-19 (2010) · doi:10.1016/j.petrol.2010.05.001 [20] Behbahani-Nejad, M.; Shekari, Y., Reduced order modelling of natural gas transient flow in pipelines, International Journal of Engineering and Applied Sciences, 5, 7, 148-152 (2008) [21] Behbahani-Nejad, M.; Haddadpour, H.; Esfahanian, V., Reduced order modelling of unsteady flows without static correction requirement, Proceedings of the 24th International Congress of the Aeronautical Sciences (ICAS ’04) [22] Agaie, B. G.; Amin, N., The effect of water hammer on pressure oscillation of hydrogen natural gas transient flow, Applied Mechanics and Materials, 554, 251-255 (2014) [23] Chaczykowski, M., Transient flow in natural gas pipeline—the effect of pipeline thermal model, Applied Mathematical Modelling, 34, 4, 1051-1067 (2010) · Zbl 1185.76853 · doi:10.1016/j.apm.2009.07.017 [24] Zhou, J.; Adewumi, M. A., Simulation of transients in natural gas pipelines using hybrid TVD schemes, International Journal for Numerical Methods in Fluids, 32, 4, 407-437 (2000) · Zbl 0981.76065 · doi:10.1002/(SICI)1097-0363(20000229)32:4<407::AID-FLD945>3.0.CO;2-9 [25] Garry, H.; Susan, B.; Gregory, L., Pipeline surge analysis studies, Proceedings of the Pipeline Simulation Interest Group Annual Meeting (PSIG ’14) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.