Tutorial_Fluid Mechanics. Problem 1 Consider a U-tube whose arms are open to the atmosphere. Now water is poured into the U-tube from one arm, and light.

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Presentation transcript:

Tutorial_Fluid Mechanics

Problem 1 Consider a U-tube whose arms are open to the atmosphere. Now water is poured into the U-tube from one arm, and light oil (ρ = 790 kg/m 3 ) from the other. One arm contains 70-cm-high water, while the other arm contains both fluids with an oil-to-water height ratio of 6. Determine the height of each fluid in that arm. SAME FLUID, SAME LEVEL, SAME PRESSURE haha hw2hw2 hw1hw1 oil Water

Problem 2 Freshwater and seawater flowing in parallel horizontal pipelines are connected to each other by a double U-tube manometer, as shown in Figure. h w = 60 cm; h hg = 10 cm; h air = 70 cm; h sea = 40 cm. Determine the pressure difference between the two pipelines. Take the density of seawater to be 1035 kg/m3. Can the air column be ignored in the analysis? Fresh water h sea h air Sea water Mercury Air h Hg hwhw

Problem 3 The gauge pressure of the air in the tank shown in Figure is measured to be 65 kPa. h w = 30 cm; h hg = h cm; h oil = 75 cm. ρ oil = 720 kg/m 3 and ρ Hg = 13,600 kg/m 3. Determine the differential height h of the mercury column. Air Water h oil 65 kPa h Hg hwhw

Problem 4 The top part of a water tank is divided into two compartments as shown in Figure. Now a fluid with an unknown density is poured into one side, and the water level rises a certain amount on the other side to compensate for this effect. Based on the final fluid heights shown on the figure, determine the density of the fluid added. Assume the liquid does not mix with each other. 80 cm 45 cm Unknown fluid Water 50 cm

Problem 5 Two chambers with the same fluid at their base are separated by a piston whose weight is 25 N, as shown in figure. Calculate the gauge pressures in chambers A and B. air water Pison 50 cm 25 cm 30 cm A B E D 90 cm C

Problem 6 A gasoline line is connected to a pressure gauge through a double-U manometer, as shown in figure. If the reading of the pressure gauge is 370 kPa, determine the gauge pressure of the gasoline line. S.G. of gasoline = 0.7; S.G. of Hg = 13.6; S.G. of oil = cm Gasoline 22 cm Mercury Water 10 cm Oil 50 cm Air P gage = 370 kPa Pipe

Problem 7 A double inverted U-tube manometer containing oil (SG = 0.8), mercury (SG = 13.6) and water is used to measure large pressure difference between gas in pipe B and gasoline in pipe A as shown in figure. Knowing that h 1 = 60 cm, h 2 = 87 cm, h 3 = 35 cm, and h 4 = 24 cm, determine the presure difference between A and B. Neglect the gas density and use γ water = 9810 N/m 3 for water.