Question: Q2. You are a process engineer responsible for separating particles from liquids. This is achieved by having the suspension passed through a filtration process. In

Q2. You are a process engineer responsible for separating particles from liquids. This is achieved by having the suspension passed through a filtration process. In the filtration process, the suspension is filtered in a cylindrical filtration chamber with diameter 0.55 m. The suspension consists of a solid phase and a liquid phase. The solid phase consists of particles with size 55 um. The liquid phase has a dynamic viscosity of 0.0025 Pas and a density of 810 kg m3. The pressure difference applied during the filtration process corresponds to 0.5 bar. The ratio of the volume of cake formed per unit volume of filtrate is 10:1. (a) Based on Darcy's law, the equation that describes the filtrate removal (time/volume vs. volume of filtrate removed) is y = 23,551 x + 2,502, where y is time per unit volume (s m%) and x is the volume of filtrate removed (m2). Calculate the cake resistance achieved during filtration. How would the cake resistance change if the fluid dynamic viscosity changed to 0.005 Pas? [5 marks] (b) The cake formed as a result of the filtration process has a height of 50 mm and a porosity of 0.45. Calculate the Reynolds number of the liquid flowing through the packed bed. Is the flow laminar? [5 marks]
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