Consider the following experiment in which two long parallel plates of area A meet. are separated from each other by a distance h$,$ the upper plate remains stationary and the plate lower, a force F is applied in the $(+$x$)$ direction. The experiment occurs in a steady state and at room temperature. In a first test, water $($fluid A$)$ is placed between the plates and the profile is measured. of velocity in the fluid when the steady state is reached. The experiment is repeated changing the fluid first by a high viscosity oil fluid $($B$)$ and then by nitrogen $($fluid C$).$

$($a$)$ Qualitatively draw the profiles of fluid velocity $($Ux$)$ vs position $($y$)$ in the same graph

$($b$)$ Interpret these profiles in terms of the concepts of viscosity, momentum flux, and the Newton's law of viscosity.