A venturi meter is installed to measure the flow rate of water in a $178\:mm$ diameter ($ID$) pipe. The throat diameter is $102\:mm$. The differential pressure measured using a manometer is $154.3\:kN/m^{2}$. The data given are:

discharge coefficient=$0.98$; water density=$1000\:kg/m^{3}$.

The volumetric flow rate of water (in m$^{3}/s$) is _____________.