A sprinkler apparatus, a flow rate control valve assembly, and a sprinkler irrigation system for providing an even distribution of water across an asymmetrically shaped water receiving area. The sprinkler apparatus comprises a pop-up sprinkler head with a base housing for confiningly receiving a pressurized water flow that actuates a nozzle housing slidingly and rotationally cooperating with the base housing to pop-up into an operating position for discharge of water through at least one pair of nozzle assemblies. The pair of nozzle assemblies comprise an upper nozzle assembly and a lower nozzle assembly near the top end of the nozzle housing. A flow rate control valve assembly comprises a flow control valve assembly that can be coupled to a pop-up sprinkler head to supply the pressurized water flow.
