WATER RESOURCES ENGINEERING (CL)
3rd Edition
ISBN: 9781119625827
Author: Mays
Publisher: WILEY
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Chapter 4, Problem 4.5.4P
To determine
The flow rate in the galvanized pipe.
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The diameter of a pipe changes gradually from 6 inches at A to 18
inches at B. A is 15 ft lower than B. If the pressure at A is 10 lbs per
square inch and at B, 7 lbs per square inch when there are 5.0 cubic ft
per second flowing, determine:
a. the direction of flow.
b. the frictional loss between the two points
B. If in Problem 1 the direction of flow is reversed, determine the
pressure at A if all other factors, including the frictional loss, remain the
same.
C. In Problem 1, determine the diameter of pipe at B in order that the
pressure at that point will also be 10 lbs per square inch, all other
factors remaining constant.
D. Determine the discharge in Problem 1, assuming no frictional loss, all
other conditions remaining as stated.
E. What would be the difference in pressure in pounds per square inch
between A and B, Problem 1, if there were 6.2 cubic ft per second
flowing, neglecting friction.
What 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.
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.
Chapter 4 Solutions
WATER RESOURCES ENGINEERING (CL)
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- absolute roughness is o.03mm (for both sections), Determine the height H. Neglect local losses. Tip: Losses in pipes connected one after another (as in the figure) they add up 2. Consider the system shown. If the flow is Q = 220 lts / s and the H L=500 m D=45 cm L=800 m D=30 cmarrow_forwardThe pressure at point 2 shown in Figure is not to fall below 4.14 Bar when the flowrate from the tank is 0.028 m^3/ sec. Determine the minimum height, h, of the water tank under the assumption that (a) minor losses are negligible, (b) minor losses are not negligible. 3 m Figure No.3 Kentrance = 0.5 h The pipe is plastic of 15 cm diameter and (e/D=D0) 1.8 m (2) Main line 450 m with 15 elbows of 90 degreearrow_forwardFigure Q4 shows there are two sections of pipes in the system, which are 38m long of 5 cm diameter pipe in section 1 and 45 m long of 15 cm diameter pipe in section 2. The friction factor of pipe in section 1 and 2 are 0.005 and 0.003 respectively. The entrance of the pipe is sharp and the change of section at point C is sudden. There are two 90-degree elbows and an open globe valve in the system. The fitting loss coefficient, k are 0.9 for each 90-degree elbow and 0.25 for open globe valve. If the exit elevation is zero and the flow rate of water is 0.005 m/s. i. Name all the losses in the system with the formula involved, Calculate the total losses in the system, Calculate the power extracted by the turbine if the turbine is 75 ii. iii. percent efficient. 30m Elevation Pipe section 1: 5cm diameter with 38 m long Орen globe Turbine Elevation Om Pipe section 2: 15cm diameter with 45 m longarrow_forward
- Q2) What is the pressure at point (B)inside the pipe shown in figure below if the water jet velocity at point (A) is 18 m/s.. 15m D= 75 mm D 200 mm 0.5 m B-arrow_forwardDetermine the pressure at the center of the pipe from the piezometer shown. 200mm WATER 75mmØPIPEarrow_forwardWater flows from the tank shown in the figure below. At a depth of 1.5 ft the rate of change of depth is -0.004 ft/s. Determine the cross-sectional area of the tank. The total length of the 0.40-in.-diameter pipe is 18 ft, and the friction factor is 0.03. The loss coefficients are: 0.50 for the entrance, 1.5 for each elbow, and 10 for the valve. A = ft² 3 ft BAMIN Valvearrow_forward
- 2. Consider the piping network shown. The pressure heads at points A and B are 80m and 52m, respectively. If the Hazen- Williams Coefficient for all pipes is 110, calculate the flowrate in each pipe. 1 A B 3 2 L₁ = 3000m L2 = 2600m L3 1300m D₁ = 300mm D₂ = 250mm D3 = 200mmarrow_forward(Bernoulli/continuity) Water flows steadily through the pipe shown in the figure below such that the pressures at sections (1) and (2) are 334 kPa and 95 kPa, respectively. Determine the diameter of the pipe at section (2), D2, if the velocity at section 1 is 18 m/s and viscous effects are negligible. P2 = 95 kPa P₁ =334 kPa D₁ -0.12 m V₁0 51 marrow_forward8-62 A horizontal pipe has an abrupt expansion from D₁ = 8 cm to D₂ 16 cm. The water velocity in the smaller section is 10 m/s and the flow is turbulent. The pressure in the smaller section is P₁ = 410 kPa. Taking the kinetic energy correction factor to be 1.06 at both the inlet and the outlet, determine the downstream pressure P2, and estimate the error that would have occurred if Bernoulli's equation had been used. Answers: 432 kPa, 25.4 kPa sy 94 - Water I D₁ = 8 cm 10 m/s 410 kPa FIGURE P8-62 D₂ = 16 cmarrow_forward
- Three pipes 1, 2, and 3 are connected in parallel and a fourth pipe is connected at B. The difference in head at the ends points A and B is 40m. Given the material properties of each pipe below, compute the following if the friction factor, f = 0.02 for all the pipes: a. discharge of pipe 4.b. total head loss of the piping systemc. diameter of the equivalent pipe with a length of 400m for the entire piping system.arrow_forwardGiven the following information about a length of pipe: P1 = 440 kPa V1 = 0.0085 m/s z1 = 5 m v2 = 0.8335 m/s z2 = 0 m Head loss from point 1 to 2 = 0.262 m Find the pressure at point 2arrow_forward1. Water flows through Pipe A and into parallel pipes 1,2 and 3, and out through Pipe B. The properties of the pipes are listed as follows: Pipe Length (m) Diameter (cm) 30 Friction Coefficient, f A 1 300 10 0.020 240 600 2 15 0.018 3 20 0.017 В 30 The upstream junction (near A) has an elevation of 90m with a pressure of 205 KPa; the downstream junction is at elevation 30 m. If the average velocity in Pipe A is 3.0 m/s, find the pressure at the downstream junctions and rate of flow in each pipe. Also, draw the pipe system.arrow_forward
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