a) With the aid of an appropriate diagram, show the relation between shear stress and the...

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a) With the aid of an appropriate diagram, show the relation between shear stress and the velocity gradient du/dx for: i) water; [2 marks] ii) non-drip paints (shear thickening). [2 marks] b) Consider a 1-meter-wide multi-compartmented fluid container designed for a scientific study with its shape and dimensions of different compartments shown in Figure Q4. 3m Water surface ii) Water 2 m Liquid surface Unknown Liquid Concrete 5 m Fig. Q4 - Schematic of the multi-compartmented fluid container. Drawing not to scale. A reversed L-shape gate which is hinged at point A is used to separate different fluids in the container. It should be noted that the thickness and the weight of the gate are negligible. The left size of the container is filled with fresh water (Pwater 1000 kg/m) of a total depth of 3 meters. The lower right compartment of the container is a concrete block. The top right compartment is filled with a liquid of unknown density. i) Sketch the pressure distribution on the gate, including the horizontal section; [2 marks] If the gate is maintained at the neutral position (i.e. the system is in static equilibrium), calculate the density of the unknown liquid in the container. [8 marks] a) With the aid of an appropriate diagram, show the relation between shear stress and the velocity gradient du/dx for: i) water; [2 marks] ii) non-drip paints (shear thickening). [2 marks] b) Consider a 1-meter-wide multi-compartmented fluid container designed for a scientific study with its shape and dimensions of different compartments shown in Figure Q4. 3m Water surface ii) Water 2 m Liquid surface Unknown Liquid Concrete 5 m Fig. Q4 - Schematic of the multi-compartmented fluid container. Drawing not to scale. A reversed L-shape gate which is hinged at point A is used to separate different fluids in the container. It should be noted that the thickness and the weight of the gate are negligible. The left size of the container is filled with fresh water (Pwater 1000 kg/m) of a total depth of 3 meters. The lower right compartment of the container is a concrete block. The top right compartment is filled with a liquid of unknown density. i) Sketch the pressure distribution on the gate, including the horizontal section; [2 marks] If the gate is maintained at the neutral position (i.e. the system is in static equilibrium), calculate the density of the unknown liquid in the container. [8 marks]