Density of milk composed of 80% (by volume) water and 20% (by volume) of liquid fat...

 

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Density of milk composed of 80% (by volume) water and 20% (by volume) of liquid fat is 1012 kg/m³ at 20°C (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 μµm. 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] Density of milk composed of 80% (by volume) water and 20% (by volume) of liquid fat is 1012 kg/m³ at 20°C (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 μµm. 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]