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b) In a metal processing plant, a molten metal with a density of gcm3 is flowing inside a temperature resistant cylindrical ceramic pipe as shown

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b) In a metal processing plant, a molten metal with a density of gcm3 is flowing inside a temperature resistant cylindrical ceramic pipe as shown in Figure 2. The velocity and the pressure of the molten metal inside the wider section of the pipe (location 1) is 18.5ms1 and 150MPa, respectively. The ratio of the Reynolds numbers between the narrower and wider sections (i.e., Re2/Re1 ) is known to be 2. By assuming that the molten metal is an incompressible fluid, determine: Figure 2 The following equation is relevant to this question. All terms in the equation have their usual meaning. 2(v2)+gh+p=Constant (i) the velocity of the molten metal inside the narrower pipe (location 2); (7 marks) (ii) the density of the molten material, in gcm3 to three decimal places, if the pressure at the narrower section is 148.5MPa. (8 marks)

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