A set of small$-$scale tank$-$draining experiments are performed to predict the liquid depth, h$,$ as a

function of time t for the draining process of a large cylindrical tank that is geometrically similar to the

small$-$experiment tanks. The relevant parameters are gravity g$,$ initial tank depth H$,$ tank diameter D$,$

orifice diameter d$,$ and the density and viscosity of the liquid, and $,$ respectively.

a$)$ Determine a general relationship between h and the other parameters