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Title: Optimal control strategy to distribute water through loop-like planar networks
Authors: Soni B.
Mishra U.A.
Nayak, Ameeya Kumar
Published in: American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FEDSM
Proceedings of ASME 2020 Fluids Engineering Division Summer Meeting, FEDSM 2020, collocated with the ASME 2020 Heat Transfer Summer Conference and the ASME 2020 18th International Conference on Nanochannels, Microchannels, and Minichannels
Abstract: In this article, loop like planar networks formed by circular cross sectioned conduits with possibly different geometric measurements are studied to supply the required amount of isothermal water within the optimal time and through the shortest path. The flow optimization procedure is controlled by time varying pressures at nodes throughout the network for given specifications about pressure value at multiple demanding and single supply nodes. The flow governing equation is solved analytically to correlate transient flow rate and pressure and then studied using analogous electrical circuit. For each possible path between source and demand node, minimum equivalent flow impedance criterion is considered to pick the optimum path. This sets a multi-objective dynamic flow optimization algorithm and the same is executed under the assumption of fully developed and laminar flow. The optimum flow impedance can further be used to measure the pumping power as the cost of flow of a particular path. The algorithm can be extended to reduce the water wastages by controlling pressures efficiently.
Citation: American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FEDSM, 2020. Fluids Engineering Division
Issue Date: 2020
Publisher: American Society of Mechanical Engineers (ASME)
Keywords: Flow impedance
Lump parameter model
Optimum flow
Water distribution network
Fluid mechanics
Laminar flow
Optimal control systems
Electrical circuit
Flow governing equations
Flow impedances
Flow optimization
Geometric measurements
Multi objective
Optimal control strategy
Single supplies
Heat transfer
ISBN: 9.78079E+12
ISSN: 8888116
Author Scopus IDs: 57210885076
Author Affiliations: Soni, B., Department of Mathematics, IIT Roorkee, Roorkee, 247667, India
Mishra, U.A., Department of Mechanical and Industrial Engineering, IIT Roorkee, Roorkee, 247667, India
Nayak, A.K., Department of Mathematics, IIT Roorkee, Roorkee, 247667, India
Corresponding Author: Soni, B.; Department of Mathematics, India; email:
Appears in Collections:Conference Publications [MA]

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