Solid particles at 34 % (wt/wt) concentration with density of 3000 kg/m3 are transported in a pipe with diameter 100 mm. The particles have size of 0.25 mm, and the liquid base is water. (a) Calculate the particle deposition velocity in water using three different methods, and select one, and explain why this number was selected. (b) Calculate the pressure drop gradient at the particle deposition velocity (using Heterogenous hydraulic calculation method). Use water properties to calculate pressure drop of liquid phase. (c) Calculate pressure drop at fluid velocity 10 times larger than particle deposition velocity. We assume that flow regime will be homogenous at fluid velocity 10 times the particle deposition velocity, and in that case, the mixture viscosity can be characterised by power law model with consistency index (K) = 1 Pa.s and power index (n) of 0.5. (d) The goal is to separate solid particle from this stream of slurry transporting at velocity 10 times the deposition velocity. Check the feasibility of using a centrifuge, 10 Bradley hydro-cyclones in parallel, a settling tank orcxdty78= a constant pressure rotary filter. Compare the calculation for each solution and propose one solution. Use water properties for calculation. The centrifuge has the bowl radius of 250 mm (R), inner radius of (r_i) of 200 mm, length (X) of 2 m running at angular velocity of 500 rev/min. Hint: calculate the surface area, and efficiency of the centrifuge. The hydro-cyclone pack is a series of 10 Bradley cyclones running in parallel each with diameter of 0.2 m. Hint: calculate d50 from St_50 and compare it with particle diameter. The settling tank has a width of 0.5 m, length of 1m, and height of 1m. Hint: Calculate the efficiency. The rotary filter is a constant pressure rotary filter. The size of the screen is 10 microns, with thickness 1 mm and porosity 0.4. The filter is rotating at 1 rpm and has diameter of 3 m and length 5 m, with vacuum pressure of 50 kPa. The thickness left on the surface of screen is 1 mm and porosity of 0.4, and the filter is submerged at 50%. Check if this filter can clean the fluid at that flow rate. Hint: calculate B, and the processing flow rate is B/angular velocity of drum. Hint: if efficiency is more than 1 for this particle size, it means that particles are removed at 100%