WATER RESOURCES ENGINEERING
3rd Edition
ISBN: 9781119490579
Author: Mays
Publisher: WILEY
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Chapter 4, Problem 4.5.3P
To determine
The rate of flow in the given pipe system.
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The pressure gauges are inserted at A and B in a vertical pipe converging water. The diameters at A and B are 150mm and 75mm respectively. The point B is 2.3m below point A. When rate of flow down the pipe is 0.021m³/s. The pressure at B is 117.72 KN/m² greater than at A.
The losses in pipe between A and B are expressed as(KVa²/2g) where Va is velocity of A. Find the value of K.
If the pressure gauges at A and B are replaced by tubes filled with water and connectef to a u-tube containing Hg(SHg=13.6) calculate the value of the reading manometer.
Example 3: A pipe gradually tapers from 0.6m at A to 0.9m at point B. the
elevation difference between A and B is 3m. Find pressure head and pressure at
point B if the pressure head at A is 15m and velocity at A is 2m/s. Assume the
frictionless flow.
A horizontal 150mm diameter pipe gradually
reduces its section to 50mm diameter,
subsequently, enlarging into 150mm section.
The pressure in the 150-mm pipe at a point
just before entering the reducing section is
140 kPa and in the 50mm section at the end
of the reducer, the pressure is 70 kPa. If
600mm of head is lost between the points
where the pressures are known, compute
the rate of flow of water through the pipe.
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- Given a three-pipe system, the total pressure drop is PA - PB = 150,000 Pa, and the elevation drop is ZA ZB = 5 m. The pipe data are: Pipe 1 2 3 L, m 100 150 80 A. O 0.00283 m³/s O 0.00146 m³/s The fluid is water (density 1000 kg/m³ and kinematic viscosity 1.02x10-6 m²/s). Calculate the flow rate Q in m³/h through the system. (3 O 0.00675 m³/s O 0.00834 m³/s d, cm 8 6 4 1 €, mm 0.24 0.12 0.20 2 eld 0.003 0.002 0.005 • Barrow_forwardA smooth pipe with a constant diameter 0.20 m carries water at a temperature of 30oC (Refer Table Q4(c)). The Pipe pressure at section 1 and section 2 is 50 kPa and 20 kPa, respectively. Section 1 is located 2 m lower than section 1. Determine the head loss in the pipe.arrow_forwardWater at 40°C (p=62.42 lbm/ft³ and u=1.038×10-³ lbm/ft.s) is flowing steadily through a 0.12-in- diameter 30-ft-long horizontal pipe at an average velocity of 3.0 ft/s Determine (a) the head loss, (b) the pressure drop, and (c) the pumping power requirement to overcome this pressure drop. [Roughness of stainless steel = 7.0*10-6 ft]arrow_forward
- Q2. Flowrate of water through bend pipe (90°) is 0.21 m/s. The pipe diameter at the inlet is 150 mm and the outlet diameter is 75 mm. The outlet is higher than the inlet by 2 m. Frictional losses in the pipe is equal a loss factor of 0.5 applied to the inlet velocity head. The pressure head at the inlet is 8.6 m and the volume of water in the bend is 0.6 m?. Calculate the resultant force and its direction.arrow_forwardWhat is pipe roughness? A pump is located 5 m above the surface = 8170 M/m¹) in a closed tank. The pressure in the space above liquid surface is 35 Kpa. The suction line to the pump is 15 m of 15 cm diameter pipe (/= 0.025). The discharge from the pump is 60 m of 20 cm diameter pipe (/= 0.03). The pipe discharges in a submerged fashion to an open tank whose free liquid surface is 3 m lower than the liquid surface in the pressure tank. If pump puts 1.5 kW Into the liquid, determine the flow rate and the pressure in the pipe on the suction side of the pump. Assume turbulent flow.arrow_forwardEstimate the maximum water hammer pressure generated in a rigid pipe of a 3 m dia pipe with an initial velocity of 3.0 ms-¹ and the pipe is 8 km long. The downstream valve at the pipe end is closed in 4 seconds. The bulk modulus of water is 2.25x106 kPa and the mass density is 995.7 kg/m³. Also determine the critical time of closure.arrow_forward
- Q2: A tank of water empties by gravity through a siphon. The difference in levels is 3 m and the highest point of the siphon is 2m above the top surface level and the length of pipe from inlet to the highest point is 3.5 m.The pipe has abore of 40 mm and length 12m. The friction coefficient for the pipe is 0.009 The inlet loss coefficient K is 0.9. Determine total of Resistance. (0) Fig.(2)arrow_forward6. A horizontal 150 mm diameter pipe gradually reduces its section to 50 mm diameter, subsequently enlarging into 150 mm section. The pressure in the 150 mm pipe at the point just before entering the reducing section is 140 kPa and in the 50 mm section at the end of the reducer the pressure is 70 kPa. If 600 mm of head is lost between the points where the pressures are known, compute the rate of flow of water thru the pipe.arrow_forward4.5.4. If the pressure difference between points 1 and 2 in Figure P4.5.4 is 25 psi. What will be the flowrate? The pipes are galvanized iron with k, = 0.0005 ft. Take v = 1.06 x 10* ft/s and neglect minor losses. 2000 ft, 8 in dia 10 in dia 2. B 1600 ft, 6 in dia e 800 ft, 10 in dia- Figure P4.5.4arrow_forward
- 4.5.4. If the pressure difference between points 1 and 2 in Figure P4.5.4 is 25 psi. What will be the flowrate? The pipes are galvanized iron with k, = 0.0005 ft. Take v = 1.06 x 105 ft/s and neglect minor losses. 10 in dia 2000 ft, 8 in dia A B 1600 ft, 6 in dia Figure P4.5.4 C 800 ft, 10 in dia 2.arrow_forward2. Water at 100C is flowing from point A to point B the 600-mm B inside diameter through pipe shown in figure 9 at the rate of 0.37 m3/s. If the pressure at A is 66.2 kPa, calculate the 4.5 m Flow pressure at B. 300-mm inside diameterarrow_forwardA horizontal pipe of 150 mm diameter for the initial 30 m and 75 mm dimeter for the remaining 10 m is connected to a water tank. The height of waler in tank is 15 m above the centre line of the pipe. Find out the flow rate through the pipe, taking all losses into the account. Consider the reduction in diameter of the pipe as sudden coefficient of friction for the pipe is 0.008.arrow_forward
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