1. Afluid is placed in the gap between two parallel disks separated by a distance 28. The fluid completely fills the gap. A constant force Fis applied to each disk as shown in Fig. It to desired to obtain a (quasi) steady state problem. This means that the inertial terms (left side) in the Navier-Stoke equation are neglected. In addition gravity is assumed negligible and assume that Vr = rf (2), v, = g(2), Ve=0 p = Po + p2r2 U2 Vr d2v2 0 z2 ro F 1.1 show that the continuity and Navier-Stoke equations can be written as (3 pts) = 1 a , (rvr) + rar z 220r 0= ar z2 0= tu Sl S18 1.2 What is the boundary conditions for Vr, V2. Where p = Pa at r = ro (2.5 pts) 1.3 Shown that (3 pts) () 1- 4 8 3 Uz = V Ur = 31-Y)" (1 - (3)3) v () -7)*) 3 (_Vyr (1 - 0)) p - Pa = 4 483 Where Vis the velocity in v, at z = +8 1.4 Calculate the force on one plate, assume that F = 21 8(p Pa)rdr (3 pts) 1.5 Calculate the volumetric flow rate Q per unit perimeter (in r direction). (3 pts)