The fluid discharge in an open tank can be determined by using notch and weir where the volumetric flowrate $($Q$)$ depends on the kinematic viscosity $($v$)$ of the fluid, acceleration due to gravity $($g$),$ the head $($H$)$ over the weir, length of weir crest $($L$),$ and the height of the weir crest over the channel bottom $($Z$).$ Identify the total number of variables and the dimension of each variable that is present in the system. State the number of primary dimensions in this system and identify the number of non$-$repeating and repeating variables thus, state the number of pi$-$term that should available.