fluid mechanics

Q4. Density of milk composed of 80% (by volume) water and 20% (by volume) of liquid fat is 1012 kg/m3 at 20C (https://hypertextbook.com/facts/2002/AliciaNoelleJones.shtml) and its viscosity is 2 cP (https://www.engineeringtoolbox.com/absolute-viscosity-foods-d_1827.html). At this temperature density and viscosity of water are 1000 kg/m3 and 1 cP, respectively. Diameter of spherical fat globule changes between 8 and 20 um. a) Calculate density and viscosity of fat globules in the milk. (5 pts) b) Draw a fat globule and show forces effective on the fat globule. Show the flow direction of the globules. (5 pts) c) Calculate the terminal velocities of 8 and 20 um fat globules by deciding the flow regime. (10 pts) d) If 2 liter milk exists in a cylindrical tank of which diameter is equal to the height of the milk, calculate the time required for the formation of a layer of fat globules in 20 um in size. (5 pts]