The calculation of pipeline network comprising pressure reduction valve (PRV) with Q-equation
Keywords:
solution, Newton-Raphson, network, system, loop, node.
Abstract
The calculation of pipeline networks with Q- equations involves the determination of flow rates of liquid flowing through pipes by solving the system of equations comprising the mass conservation equation and the energy conservation equations written along the loops and pseudo-loops. The paper presents an application that solves a network comprising a PRV (Pressure reduction valve). In case of mounting a PRV in the device it takes place a leap of energy and energy conservation equation along a loop is no longer valid. The literature recommends fitting a fictitious tank instead of the device and writing the energy conservation equation in the pseudo-loop.
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References
[1]Anton V., Popoviciu M., Fitero I., “Hidraulică și mașini hidraulice”, Editura Didactica și Pedagogica, București 1978
[2] Collins M., “Solving the Pipe Network Analysis Problem Using Optimization Techniques”, School of Engineering and Aplies Science, Southern Methodist University, Dallas 1977
[3].Epp, R. and Fowler, A., "Efficient code for steady-state flows in networks", Journal of Hydraulics Division, Proceedings of the ASCE 96 (HY1),1970
[4].Ioan, A., “The Application of Simultaneous Loop Equation Solution for Ship Networks ”, The Annals of "Dunarea de Jos" University of Galati, Fascicle XI Shipbuilding, ISSN 1221-4620, 2015
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[11]White M. F., “Fluid Mechanics”, Mc.Graw- Hill Series in Mechanical Engineering, ISBN 978- 0077422417
[12].Wood, D.J. and Charles O.A.. „Hydraulic network analysis using linear theory”, Journal of Hydraulic Division, ASCE HY7,1972
[2] Collins M., “Solving the Pipe Network Analysis Problem Using Optimization Techniques”, School of Engineering and Aplies Science, Southern Methodist University, Dallas 1977
[3].Epp, R. and Fowler, A., "Efficient code for steady-state flows in networks", Journal of Hydraulics Division, Proceedings of the ASCE 96 (HY1),1970
[4].Ioan, A., “The Application of Simultaneous Loop Equation Solution for Ship Networks ”, The Annals of "Dunarea de Jos" University of Galati, Fascicle XI Shipbuilding, ISSN 1221-4620, 2015
[5].Jeppson, R., “Steady Flow Analysis Pipe Networks ”, An Instructional Manuals, Utah State University , 1984.
[6].Lambert, M., Mariam, T., Susan, F., “Pipe Network Analysis”, VDM Publishing, ISBN 6131288151, 2010.
[7].Larock, B., Jeppson, R., Watters, G., “Hydraulics of Pipeline Systems”, CRC Press, ISBN 0-8493-1906-8, pp 43-96 New York, 2000.
[8].Mun-Fong L., “Pipe Network Analysis”, Publication No.77 University of Florida Gainesville,1983.
[9].Prabhata, K.S., Ashok, K.S., “Design of Water Supply Networks ”, John Wiley & Ons Inc., Online ISBN 9780470225059, New York, 2008.
[10].Pramond, R.B., “Analysis of Flow in Water Distribution Networks”, Technomic Pub. Co. , University of Michigan, 2007.
[11]White M. F., “Fluid Mechanics”, Mc.Graw- Hill Series in Mechanical Engineering, ISBN 978- 0077422417
[12].Wood, D.J. and Charles O.A.. „Hydraulic network analysis using linear theory”, Journal of Hydraulic Division, ASCE HY7,1972
Published
2018-12-28
How to Cite
1.
Ioan A. The calculation of pipeline network comprising pressure reduction valve (PRV) with Q-equation. Annals of ”Dunarea de Jos” University of Galati. Fascicle XI Shipbuilding [Internet]. 28Dec.2018 [cited 3Dec.2024];41:41-8. Available from: https://www.gup.ugal.ro/ugaljournals/index.php/fanship/article/view/1007
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