AbbreviationsAnetwork topology matrix for links and nodesbbase flow of a demand patternBnetwork topology matrix for links and fixed‐head nodesCHazen–Williams coefficientDinternal diameter of a specified linkffriction factor in a specified linkFcolumn vector of link flows in the networkggravitational accelerationhcolumn vector of total headlosses in the networkhffriction loss in a specified linkhLtotal headloss in a specified linkhmminor loss at a specified elementHcolumn vector of heads at nodesHfcolumn vector of known‐heads in the networkHTtotal head of water at a specified pointIidentity matrixknumber of known‐head nodes in the networkKminor loss coefficient of a single elementLlength of a specified linkmflow multiplier of a demand patternMflow exponent matrixnnumber of unknown‐head nodes in the networkNcross‐sectional area of a water tankpnumber of links in the networkPpressure at a specified pointqcolumn vector of water demands at the nodesQflowrate in a specified linkRtotal loss resistance in a linkR1friction loss resistance in a linkR2minor loss resistance in a linkvflow velocity at a specified linkxwater level in a tankyflowrate in the link connected to a water tanky1flow exponent depending on the headloss methodzelevation of a specified pointρdensity of waterµdynamic viscosity of waterυkinematic viscosity of waterINTRODUCTIONA water distribution network (WDN) is composed of sets of pipes, tanks and/or reservoirs, and other elements
Computer Applications in Engineering Education – Wiley
Published: Jan 1, 2018
Keywords: ; ; ;
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