The viscosity of water is viscosity = 8.9 x 10-4 kg/( sm ) = 8.9E-4 kg/( sm ) The pressure difference between two ends of a water pipe is 1.00 x 104 kg/(s2 m), the radius of the pipe is 1.00 mm. And the length of the pipe is 10.0 cm. Using only dimensional analysis (and what you have learned in this problem) estimate the flow rate of water through the pipe. For comparison, you might want to know that a detailed calculation shows that the flow rate would be 0.044 L/s. Your estimate should be a little higher, but it should not be off by a factor of 10.
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2. Water flows at a rate of 60 L/s from a main reservoir to a subsidiary through a 600 m long, 185 mm diameter asphalted cast iron pipe as shown in the figure. The pipeline contains a gate valve, a globe valve and 4 standard 90° elbows. The entrance and exit are square edged, and all fittings are screwed ends, determine, You need Kinematic viscosity of water, 1 x 10-6 m/s2 (a) The friction head loss in the pipe, (b)...
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[1] Water flowing in a pipe is determined to be moving at the velocities given in the diagram below. The higher level is 3 meters above the lower one and the pressure in the lower portion is measured to be 200 kPa. Determine the pressure inside the upper pipe Treat the water as an ideal fluid obeying Bernoulli's equation. Consider the path connecting poin in the lower pipe with point...
Q1. (a) For a flow phenomenon governed mainly by viscous forces, derive the scale factors for velocity, force and power in terms of 24, , and I, where subscripts L, p and u are length, density and dynamic viscosity respectively and is the ratio of the value of "x" in the prototype to the value of "x" in the model. [4 marks) (b) Volumetric flow rate (discharge) Q through a circular pipe with diameter D can be measured by measuring...
Question 3 [20 marks] Water (density p1000 kg/m2; dynamic viscosity 0.001 Pa-s) flows steadily through a horizontal, straight pipe with circular cross section of diameter D=0.2 m. The volumetric flow rate is 0.01 m°/s. Argue that this is turbulent flow. [4 marksl а. Pressure drop in the pipe is due to friction. The pressure drop per unit length can be written as Др 4f L with U the average velocity in the pipe and fthe friction factor. Given the pipe...
Water, with density of 1000 kg/m3 and kinematic viscosity of 1.0 x 10- m2/s, is pumped through a total length of 60 m of pipe from a lower reservoir to a higher reservoir. The inner diameter of the pipe is 30 cm. Both reservoirs are open to the atmosphere, and the water surface of the higher reservoir is 10 m above that of the lower reservoir. The entrance from the lower reservoir to the pipe is sharp-edged, and along the...
Water (density = 1000 kg/m3, viscosity = 1.15 x 10-3 N-s/m2) is delivered from a large reservoir upstream (Section"1") through two mortar lined steel circular pipes arranged in series to another large reservoir downstream (Section "2") as shown in Figure E4.7 The upstream pipe is 80 m long and 0.15 m in diameter, whereas the downstream pipe is 50 m long and 0.1 m in diameter. Both pipes have sharp-edged entrance and exit. Consider both major and minor losses. Determine...
Question 5 a) As shown in Figure Q5 (a), crude oil at 60°C with ρ-860 kg/m3 and μ-3.91 x 10" kg s/m (about four times of viscosity of water) is pumped across from City A to City B pipeline, a 1286 m long, 1.22 m diameter steel pipe ( 0.0125), at a maximum rate of Q- 3.31 m'ls. Investigate the horsepower (unit in hp) needed for the pumps that drive this large system. (Neglect minor losses in the system) Oil:...
Question 3 (a) Water flows through a horizontal pipeline of constant 400 mm diameter in a water treatment plant. The pipe bends through a 70° angle. In order to design a thrust block for the bend, calculate the magnitude and line of action of the force exerted by the water on the pipe. The discharge through the pipe is 0.4 m/s. The water pressure at the inlet is equivalent to 22 m head of water. [10 marks] (b) Oil of...
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.- A pump that delivers 4.5 kw to the water ( 0 =0.898 x 10-6 m²/s : p=997.1 kg/m) is used to fill a cylindrical tank as shown, calculate the flow rate and the depth of the water in the cylindrical tank 5 minutes after the pump is started. Assume the sum of the loss coefficients of the fittings =12.8 2 m d 100 mm mooth pipe pelength - 50m 12 m B 2...
Question 2 4 pts Question 1lb) If viscous effects are negligible, determine the flow rate Qt (m3/s) at Point 1 in the large pipe if h-5.8 m and V2 66m/s The density of water is 1000 kg/m3. Atmospheric pressure Patm 101.325 kPa. Gravitational acceleration g- 9.81 m/s Your answer should be in m3/s and accurate to4d.р. Question 3 3 pts If viscous effects are negligible, determine the gauge pressure p1 (kPa) at Point 1 in the large pipe for Q1...