"Laminar" fountains have become quite popular due to the desirable aesthetics that result from a smooth shaped fluid held together with its own surface tension during flight. Check out videos of "laminar fountain" on the web. To convert turbulent to laminar flow a conduit is often transitioned to a large diameter, and then subdivided into many smaller ones, sometimes called straighteners. Calculate the Reynolds number for a pipe that is originally
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Applied Fluid Mechanics (7th Edition)
- The ethanol solution is pumped into a vessel 25 m above the reference point through a 25 mm diameter steel pipe at a rate of 8 m3 / hr. The pipe length is 35m and there are 2 elbows. Calculate the power requirements of the pump. The properties of the solution are density 975 kg / m3 and viscosity 4x 10-4 Pa s. a. Reynold number = ..... b. Energy Loss along the straight pipe = ..... J / kg. c. Energy Loss at curves = ..... J / kg. d. Total energy to overcome friction = ..... J / kg. e. Energy to raise water according to height = ..... J / kg. f. The theoretical energy requirement for the pump is kg ethanol / second = ..... J / kg. g. Actual pump power requirement = ..... watts.arrow_forwardThe ethanol solution is pumped into a vessel 25 m above the reference point through a 25 mm diameter steel pipe at a rate of 8 m3 / hr. The pipe length is 40 m and there are 2 elbows. Calculate the power requirements of the pump. The properties of the solution are density 975 kg / m3 and viscosity 4x 10-4 Pa s. a. Reynold number = Answer. b. Loss of Energy along the straight pipe = AnswerJ / kg. c. Losing Energy at curves = AnswerJ / kg. d. Total energy to overcome friction = AnswerJ / kg. e. Energy to increase water according to height = AnswerJ / kg. f. The theoretical energy requirement of the pump ethanol / second = AnswerJ / kg. g. Actual pump power requirement = Answerwatt.arrow_forwardA pipe is often used to assess the flow rate of water in the center of a pipe with an internal diameter of 102.3 mm at 20°C (density = 998.3 kg/m3, viscosity = 1.005 CP). The pitot tube coefficient is 0.98, and the manometer reading is 10 mm of mercury at 20°C (density = 13,545. 85 kg/m3). Compute the velocity at the center and the water's volumetric flow ratearrow_forward
- The ethanol solution is pumped into a vessel 25 m above the reference point through a 25 mm diameter steel pipe at a rate of 8 m3 / hr. The pipe length is 40 m and there are 2 elbows. Calculate the power requirements of the pump. The properties of the solution are density 975 kg / m3 and viscosity 4x 10-4 Pa s. a. Reynold number = Answer. b. Loss of Energy along the straight pipe = Answer J / kg. c. Energy Loss at curves = Answer J / kg. d. Total energy to overcome friction = Answer J / kg. e. Energy to increase water according to height = Answer J / kg. f. The theoretical energy requirement for the pump is kg ethanol / second = Answer J / kg. g. Actual pump power requirement = Answer watt.arrow_forwardTwo pipes of different diameters are joined together in series. The smaller pipe has a diameter of 0.1m and length of 14m and the larger pipe a diameter of 0.2m and length of 14m. Oil (density 800kg/m3, viscosity 0.2kg/ms flows through the pipes with a volume flow rate of 0.02m /s. Calculate the pressure drop over the pipes to the nearest 100Pa.arrow_forwardCalculate the power required to pump sulphuric acid (dynamic viscosity 0.04 Pa s, relative density 1.83) at 45 L s from a supply tank through a glass-lined 150 mm diameter pipe, 18 m long, into a storage tank. The liquid level in the storage tank is 6 m above that in the supply tank. For laminar flow f= 16/Re; for turbulent flow f= 0.0014(1+ 100*Re-/3) if Re < 10'. Take all losses into account.arrow_forward
- An oil of specific gravity 0.77 and viscosity 0.05 poise is flowing through a pipe of diameter240mm at a rate of 50 liters/s. Find the headloss due to friction for a 1000 m length of pipe. Also find the power required to maintain thisflow. Explain with clear writing and units and diagram Also if you use tables and equation mention it with explanationarrow_forwardThe ethanol solution is pumped into a vessel 25 m above the reference point through a 25 mm diameter steel pipe at a rate of 10 m3 / hr. The pipe length is 35m and there are 2 elbows. Calculate the power requirements of the pump. The properties of the solution are density 975 kg / m3 and viscosity 4x 10-4 Pa s. a. Reynold number = Answer b. Loss of Energy along the straight pipe = Answer J / kg. c. Losing Energy at curves = Answer J / kg. d. Total energy to overcome friction = Answer J / kg. e. Energy to increase water according to height = Answer J / kg. f. The theoretical energy requirement of the pump ethanol / second = Answer J / kg. g. Actual pump power requirement = Answer watt.arrow_forwardPart 1 For oil (SG = 0.86, u = 0.025 N-s/m? ) flow of 0.24 m/s through a round pipe with diameter of 521 mm, determine the Reynolds number. Is the flow laminar or turbulent? (a) What is the flow area? (b) What is the flow velocity? (c) What is the density of the fluid? (a) A= m2 (b) V= m/s (c) p- kg/m3 (a) What is the Reynolds number? (b) Is the flow laminar, transitional or turbulent? (a) Re = i (b) The flow is |arrow_forward
- The diagram shown illustrates the flow in a circular metal duct 20 feet long. The duct has a sudden contraction at the inlet and sudden expansion at the outlet. The diameter of the duct is 10 inches and the flow rate is 600 cfm. The duct is such that both ends have area ratio of 0.6. Thus A2/A1 = A3/A4 = 0.6. Calculate: Total pressure loss in the duct (in. wg.).arrow_forwardOil of specific gravity 0.70 and dynamic viscosity of 0.05Pa-s flows at a rate of 100lit/sec through a 80m of 150mm diameter pipe. If the head lost is 4m, determine the reynolds number, maximum velocity in m/s, maximum shear stress in Pa , Velocity 40mm from centerline of pipe in m/s.arrow_forward6 m 6 m Elbow 6 m 3 m 1 15 m A fluid is pumped at a rate of 0.00156 m3/s through a 0.025-m-diameter pipe to fill a water tank as shown in Figure. What is the pressure drop between the inlet (section 1) and the outlet (section 2) accounting for all losses? The density of the fluid is (1.05x10^3) kg/m3 and the dynamic viscosity is 1.12 x 10 - 3 Ns/m². The following are also known KL. elbow = 1.5, KĻ, exit = 1 and surface roughness, ɛ = 0.001 %3D mm. Also take gravity, g = 10 m/s². %3Darrow_forward
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