Question

A liquid with density 1010 kg/m2 and viscosity 1.2 mPa.s drains from a building through a pipe pond as shown in the following Figure. The pipe is made of three segments as shown in (.D. 2.54 cm) to a the following Figure. P1 P2 P3) (P4 21 m 17 m 6 m Pond SegmentA L-25 m Segment B L-40 m Segment C L=7 m The pressures are measured at points P1, P2, P3, and P4. The pressure at the inlet (P1) is 141 kPa. The speed of the liquid through Segment A is 0.04 m/s. a) Is the flow laminar or turbulent in Segment A? Justify your answer. (2) b) What is the volumetric flow rate, in litres/hour, of the liquid through the pipe? (72) c) What is the mass flow rate, in kg/day, through the pipe? (/2) d) What is the pressure drop in Segment A? (3) e) What is the pressure at the exit of Segment C? (/1) f) If water was to be pumped from the pond to the building, what would be the power required? (/2) PART B Viscometer tests of a liquid yield the following data T, Pa 35.15 48.21 66.14 du/dy, s1 10 20 40 (a) If the liquid is a power-law fluid, estimate parameters K and n. (/3) (b) Is the fluid a shear-thinning (pseudoplastic) or shear-thickening (dilatent) liquid? (/1) (c) What is the shear stress if the velocity gradient (du/dy) is 15 s1? (2) (d) What is the apparent viscosity at shear rate (du/dy) equal to 25 s1? (/2) Question Number V (13 Marks ~ ?? minutes) Aluminum is known to exist in an FCC structure at 25°C and 1 atm, has a Young's modulus 69 GPa, Poisson's ratio 0.33, coefficient of thermal expansion 22.68x106 K-1, and thermal conductivity 190 WImK. For a solid sphere of metallic aluminum at 25°C and 1 atm with a volume of 103 cm3, calculate values of the following quantities: a) i. The specific volume of aluminum (m/kg) (/2)

Answer 1

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