Q1. Two concentric cylindrical tubes placed inside each other are used as thin film reactor. The liquid climbing up between the two cylinders (annulus) flows down as a thin film from the inner walls of the inner tube and reacts at their interface with the gas flowing from the center of the inner tube (Fig. Q1.1). a) If fluid flowing in the annulus is linear alkyl benzene (LAB), its density and viscosity are 837.6kgm3 and 3cP, in turn. Average velocity in the annulus is 0.8 ms1, calculate the volumetric and mass flow rates of LAB. [2 pts] b) At the inlet of the inner pipe reaction takes place and the fluid film formed at the inner surface of the inner pipe is consisting of 96% linear alkyl benzene sulfonic acid (LABSA) and 4% LAB by mol percentage. Density and viscosity of LABSA cP, respectively. Molecular weight of LAB and LABSA are 245 and 325.06gmol1, respectively. Calculate the density and viscosity of LABSA/LAB mixture. [4 pts] c) Which type balance equation should be written to find the mass flow rate of the liquid film leaving the inner tube? Assume that system at steady state. Calculate the mass flow rate of the liquid film. [4 pts] d) If the thickness of the fluid film is 2 Outer tube: 1 inch Sch 40 stainless steel mm, Calculate the average velocity of the (1.315 inch/0.133 inch) liquid film. [4 pts] Inner tube: 1/2 inch Sch 40 stainless steel e) Why do you use Re number? Explain (0.840 inch/0.109 inch) the physical meaning of Re Calculate Re numbers for annulus and film flows. [6pts] Q2. Considering the system given in Fig. Q1.1, a) In which position and where should you place the control volume in order to find the velocity distribution within the liquid film? Show on the film flow. [ 3pts] b) Schematically plot velocity and shear stress distributions for the liquid film flow on the Fig. Q1.1. [4 pts] c) Show the interfaces and write boundary conditions, explaining the reasons basing on molecular interactions for the film flow. [8 pts]