Solve these 2 problems, please, and show work on paper.

HW?7 Due: 11:59PM, Thur. Nov. 14, 2024 Problem 1 (10 points) A fluid flows upward in an inclined circular pipe of diameter 0.2m, which has a mean roughness of 0.2mm. The flow is steady and fully developed. The volumetric flow rate is Q =0.0475m' / s . A section of the pipe has a length of 2m with an elevation rise of 1m. (a) If the fluid is SAE50W oil (o =902kg/m',11=0.86kg /(m-s)), is this flow laminar or turbulent? If the flow is laminar, find the maximum speed. Also compute the pressure drop over this section of the pipe (5 points). (b) If the fluid is water (p=1000kg/m3,=0.001kg/(m-s) ), is the flow laminar or turbulent? If the flow is laminar, find the maximum speed. Also Compute the pressure drop over this section of the pipe (5 points). Problem 2 (10 points) A small swimming pool is drained using a garden hose connected to the bottom of the pool. The flow can be considered steady since the pool is very large and pool free surface drops slowly. The hose's inner diameter is 20mm, a roughness height of 0.3mm and is 20m long. The free end of the hose is located 3m below the elevation of the bottom of the pool. The curved hose can be approximated as straight for simplicity. The average velocity at the hose discharge is 1.2m/s. (a) Estimate the depth of the water in the swimming pool. Neglect all minor losses. (b) For the pool depth found from part (a), if the flow were inviscid, what would be the velocity