In this paper, the dynamical behavior of water hammer (WH) caused vibrations by valve failures, and the corresponding impact of the vibrations over the water distribution system (WDS) is discussed. The existing mathematical model of WH is represented by partial Differential Equation (PDE) format, which is not compatible with the WDS model represented through Ordinary Differential Equation (ODE). The existing PDE model does not account the rate of change of valve dynamics. Thus, to overcome the abovementioned intricacies, the PDE is converted to a set of ordinary differential equations, and the valve coefficient is incorporated in the model. The WDS that is considered in this context has storage tank in every consumer node too, with regulating valves at the terminal ends of the pipelines. Various modes of pipeline valve failures are created, and the corresponding effects propagating throughout the WDS are studied in control aspects. The corresponding mathematical model in each mode of operations are also obtained. The simulation studies show the uncertainties induced by WH that interrupts the nominal operation of the WDS. KEYWORDS analytical characterization of WH in WDS, capillary effect of water hammer in WDS, detection of nonminimum phase caused inherent WH disturbances in WDS, integrating valve dynamics in WH, WH modelling