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CLOSEDCONDUIT TRANSIENTFLOW EQUATIONS
METHODS OF CHARACTERISTICS AND FINITE
TRANSIENTS CAUSED BY PUMPS
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air chamber Amer amplitude analyzed assumed boundary conditions Cavitation channel Chapter characteristic equation Chaudhry check valve closed Column Separation computed constant continuity equation control volume cross-sectional area curves dashpot derived determined developed differential equations discharge line downstream end Engineering Figure flow velocity fluid Francis turbine friction losses gate opening governor grade line head losses Hydraulic Transients hydroelectric inertia initial steady-state Jour junction liquid load rejection maximum Mech method of characteristics node obtain operation orifice oscillations partial differential equations penstock pipeline piping system power failure power plant pressure head pressure rise Pressure Surges pressure waves Proc procedure pump characteristics rated reservoir Resonance scheme shown in Fig solution speed stability surge tank Trans transfer matrix transient conditions tunnel turbine units upstream end values variables Water Hammer water level waterhammer waves wave velocity