Question 1: Benzene is used as solvent in an absorption column. To increase the washing efficiency, 2 parallel disks are used as a dispersant as follows. The disks are designed to create a uniform distribution of droplets and to minimize the pressure drop in the column. The flow of the solvent is due to the modified pressure difference P1P2 between the inner (ri) and outer (ro) diameters. Benzene has temperature dependent viscosity which given by log[]=3.65993+T67.4332.4 where [] is viscosity and T is a temperature (K)[1]. Write the equations of continuity and motion for this flow system, assuming steady-state, laminar flow and entrance region effects can be neglected. Consider only the region rirro and a flow that is radially directed. a) In the solution, assume creeping flow and make other necessary assumptions and explain them. Find the mass flow rate and sketch the curves vr(r,z) and P(r). b) Assuming that the hot solvent cools linearly by 10K between ri and ro, plot the viscosity profile by position (Inlet temperature 343K ). c) Show the temperature dependent flow velocity profile for z=0 and the point of the outer diameter