Fluid Mechanics: Fundamentals and Applications
4th Edition
ISBN: 9781259696534
Author: Yunus A. Cengel Dr., John M. Cimbala
Publisher: McGraw-Hill Education
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Chapter 8, Problem 85EP
A fanner is to pump water at
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Problem 2
The inlet line of a pump is 4-nominal schedule 40
PVC pipe that is 30 ft long and includes one elbow
and one well-rounded inlet. The pump conveys 0.5
ft3/s of water at 60°F from a tank. The net positive
suction head required by the pump is 8 ft.
Determine where the location of the water level in
the tank should be with respect to the pump impeller
shaft to prevent cavitation.
The value of (NPSH) for a pump is given by the manufacturer as 10 ft. Water is being pumped from a reservoir at
min
atmospheric pressure at a rate of 30 ft /s to a tank at atmospheric pressure. The water level in the reservoir is 5 ft below the
pump. If the total head loss in the suction pipe is 5 ft, is the pump safe from cavitation effects?
If a 2-in schedule 40 pipe of 150 m length was used downstream of the pump, what is the power delivered to the fluid? You
may assume that the friction factor in the pipe is equal to 0.004.
A pump operating at 1750 rpm delivering 500 gpm against a total head of 150 ft. Changes in the
piping system have increased the total head to 360 ft. At what rpm should the pump be operated
to achieve this new head at the same efficiency?
Chapter 8 Solutions
Fluid Mechanics: Fundamentals and Applications
Ch. 8 - How is the hydrodynamic entry length defined for...Ch. 8 - Why are liquids usually transported in circular...Ch. 8 - What is the physical significance of the Reynolds...Ch. 8 - Consider a person walking first in air and then in...Ch. 8 - Show that the Reynolds number for flow in a...Ch. 8 - Which fluid at room temperature requires a larger...Ch. 8 - What is the eneia1Iy accepted value of the...Ch. 8 - Consider the flow of air and wale in pipes of the...Ch. 8 - Consider laminar flow in a circular pipe. Is the...Ch. 8 - How does surface roughness affect the pressure...
Ch. 8 - What is hydraulic diameter? How is it defined?...Ch. 8 - Shown here is a cool picture of water being...Ch. 8 - What fluid property is responsible for the...Ch. 8 - In the fully developed region of flow in a...Ch. 8 - Someone claims that the volume flow rate in a...Ch. 8 - Someone claims that the average velocity in a...Ch. 8 - Someone claims that the shear stress at the center...Ch. 8 - Someone claims that in fully developed turbulent...Ch. 8 - How does the wall shear stress w , vary along the...Ch. 8 - How is the friction factor for flow in a pipe...Ch. 8 - Discuss whether fully developed pipe flow is one-,...Ch. 8 - Consider fully developed flow in a circular pipe...Ch. 8 - Consider fully developed laminar how in a...Ch. 8 - Explain why the friction factor is independent of...Ch. 8 - Consider laminar flow of air in a circular pipe...Ch. 8 - Consider fully developed laminar flow in a...Ch. 8 - How is head loss related to pressure loss? For a...Ch. 8 - What is turbulent viscosity? What caused it?Ch. 8 - What is the physical mechanism that causes the...Ch. 8 - The head toss for a certain circular pipe is given...Ch. 8 - The velocity profile for the fully developed...Ch. 8 - Water at 15°C (p = 999.1 kg/m3 and = 1.138 × 10-3...Ch. 8 - Water at 70F passes through...Ch. 8 - Heated air at 1 atm and 100F is to be transported...Ch. 8 - In fully developed laminar flow in a circular...Ch. 8 - The velocity profile in fully developed laminar...Ch. 8 - Repeat Prob. 8-36 for a pipe of inner radius 7 cm.Ch. 8 - Water at 10C (p = 999.7 kg/m3 and = 1.307 ×...Ch. 8 - Consider laminar flow of a fluid through a square...Ch. 8 - Repeat Prob. 8-39 for tribulent flow in smooth...Ch. 8 - Air enters a 10-m-long section of a rectangular...Ch. 8 - Consider an air solar collector that is 1 m wide...Ch. 8 - Oil with p = 876 kg/m3 and = 0.24 kg/m.s is...Ch. 8 - Glycenii at 40 C with p = l22 kg/m3 and = 0.27...Ch. 8 - Air at 1 atm and 60 F is flowing through a 1 ft ×...Ch. 8 - Oil with a density of 850 kg/m3 and kinematic...Ch. 8 - In an air heating system, heated air at 40 C and...Ch. 8 - Glycerin at 40 C with p = 1252 kg/m3 and = 0.27...Ch. 8 - Liquid ammonia at 20 C is flowing through a...Ch. 8 - Consider the fully developed flow of glycerin at...Ch. 8 - The velocity profile for a steady laminar flow in...Ch. 8 - The generalized Bernoulli equation for unsteady...Ch. 8 - What is minor loss in pipe flow? How is the minor...Ch. 8 - Define equivalent length for minor loss in pipe...Ch. 8 - The effect of rounding of a pipe inlet on the loss...Ch. 8 - The effect of rounding of a pipe exit on the loss...Ch. 8 - Which has a greater minor loss coefficient during...Ch. 8 - A piping system involves sharp turns, and thus...Ch. 8 - During a retrofitting project of a fluid flow...Ch. 8 - A horizontal pipe has an abrupt expansion from...Ch. 8 - Consider flow from a water reservoir through a...Ch. 8 - Repeat Prob. 8-62 for a slightly rounded entrance...Ch. 8 - Water is to be withdrawn from an 8-m-high water...Ch. 8 - A piping system equipped with a pump is operating...Ch. 8 - Water is pumped from a large lower reservoir to a...Ch. 8 - For a piping system, define the system curve, the...Ch. 8 - Prob. 68CPCh. 8 - Consider two identical 2-m-high open tanks tilled...Ch. 8 - A piping system involves two pipes of different...Ch. 8 - A piping system involves two pipes of different...Ch. 8 - A piping system involves two pipes of identical...Ch. 8 - Water at 15 C is drained from a large reservoir...Ch. 8 - Prob. 74PCh. 8 - The water needs of a small farm are to be met by...Ch. 8 - Prob. 76EPCh. 8 - A 2.4-m-diameter tank is initially filled with...Ch. 8 - A 3-m-diameter tank is initially filled with water...Ch. 8 - Reconsider Prob. 8-78. In order to drain the tank...Ch. 8 - Gasoline (p = 680 kg/m3 and v = 4.29 × 10-7 m2/s)...Ch. 8 - Prob. 81EPCh. 8 - Oil at 20 C is flowing through a vertical glass...Ch. 8 - Prob. 83PCh. 8 - A 4-in-high cylindrical tank having a...Ch. 8 - A fanner is to pump water at 70 F from a river to...Ch. 8 - A water tank tilled with solar-heated vater at 4OC...Ch. 8 - Two water reservoirs A and B are connected to each...Ch. 8 - Prob. 89PCh. 8 - A certain pail of cast iron piping of a water...Ch. 8 - Repeat Prob. 8-91 assuming pipe A has a...Ch. 8 - Prob. 93PCh. 8 - Repeat Prob. 8-93 for cast lion pipes of the same...Ch. 8 - Water is transported by gravity through a...Ch. 8 - Water to a residential area is transported at a...Ch. 8 - In large buildings, hot water in a water tank is...Ch. 8 - Prob. 99PCh. 8 - Two pipes of identical length and material are...Ch. 8 - What are the primary considerations when selecting...Ch. 8 - What is the difference between laser Doppler...Ch. 8 - Prob. 103CPCh. 8 - Prob. 104CPCh. 8 - Explain how flow rate is measured with...Ch. 8 - Prob. 106CPCh. 8 - Prob. 107CPCh. 8 - Prob. 108CPCh. 8 - A 15-L kerosene tank (p = 820 kg/m3) is filled...Ch. 8 - Prob. 110PCh. 8 - Prob. 111PCh. 8 - Prob. 112PCh. 8 - Prob. 113PCh. 8 - Prob. 114EPCh. 8 - Prob. 115EPCh. 8 - Prob. 116PCh. 8 - A Venturi meter equipped with a differential...Ch. 8 - Prob. 119PCh. 8 - Prob. 120PCh. 8 - Prob. 121PCh. 8 - Prob. 122EPCh. 8 - Prob. 123PCh. 8 - The flow rate of water at 20°C (p = 998 kg/m3 and ...Ch. 8 - Prob. 125PCh. 8 - Prob. 126PCh. 8 - Prob. 127PCh. 8 - The conical container with a thin horizontal tube...Ch. 8 - Prob. 129PCh. 8 - The compressed air requirements of a manufacturing...Ch. 8 - A house built on a riverside is to be cooled iii...Ch. 8 - The velocity profile in fully developed lamina,...Ch. 8 - Prob. 133PCh. 8 - Two pipes of identical diameter and material are...Ch. 8 - Prob. 135PCh. 8 - Shell-and-tube heat exchangers with hundred of...Ch. 8 - Water at 15 C is to be dischaged froiti a...Ch. 8 - Consider flow front a reservoir through a...Ch. 8 - A pipelme ihat Eransports oil ai 4OC at a iate of...Ch. 8 - Repeat Prob. 8-140 for hot-water flow of a...Ch. 8 - Prob. 142PCh. 8 - Prob. 145EPCh. 8 - Prob. 146EPCh. 8 - In a hydroelectric power plant. water at 20°C is...Ch. 8 - Prob. 148PCh. 8 - Prob. 152PCh. 8 - The water at 20 C in a l0-m-diameter, 2-m-high...Ch. 8 - Prob. 155PCh. 8 - Find the total volume flow rate leaving a tank...Ch. 8 - Prob. 158PCh. 8 - Water is siphoned from a reservoir open to the...Ch. 8 - It is a well-known fact that Roman aqueduct...Ch. 8 - In a piping system, what is used to control the...Ch. 8 - Prob. 163PCh. 8 - Prob. 164PCh. 8 - Prob. 165PCh. 8 - Consider laminar flow of water in a...Ch. 8 - Water at 10 C flows in a 1.2-cm-diameter pipe at a...Ch. 8 - Engine oil at 20 C flows in a 15-cm-diamcter pipe...Ch. 8 - Prob. 169PCh. 8 - Watet flows in a I 5-cm-diameter pipe a, a...Ch. 8 - The pressure drop for a given flow is determined...Ch. 8 - Prob. 172PCh. 8 - Air at 1 atm and 25 C flows in a 4-cm-diameter...Ch. 8 - Hot combustion 8ases approximated as air at I atm...Ch. 8 - Air at 1 aim and 40 C flows in a 8-cm-diameter...Ch. 8 - The valve in a piping system cause a 3.1 in head...Ch. 8 - A water flow system involves a 180 return bend...Ch. 8 - Air flows in an 8-cm-diameter, 33-m-long pipe at a...Ch. 8 - Consider a pipe that branches out into two...Ch. 8 - Prob. 182PCh. 8 - Prob. 183PCh. 8 - Prob. 184PCh. 8 - Prob. 185PCh. 8 - Prob. 186PCh. 8 - Design an experiment to measure the viscosity of...Ch. 8 - During a camping trip you notice that water is...
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- Two reservoirs with top surfaces placed on the flat ground and connected with each other with a straight pipe and pump system. The height of the first reservoir is Z1=10 m and the second reservoir is Z2=30 m from the ground level. The pump sucks water from the first reservoir and conveys into the second reservoir. The major head loss along the pipe is hf=40 m with ignoring local head losses. Calculate the manometric head of the pump in a meter of water.arrow_forwardThe figure shows a portion of a fire protection system in which a pump draws water at 60°F(v=1.21 x10-5 m² from a reservoir and delivers it to a point B at the flow rate of 1500 gal/min. Calculate the required height of the the water level in the tank in order to maintain 5.0 Psig pressure at point Aarrow_forwardA pitot-static tube placed in the centre of a 300 mm pipe line has one orifice pointing upstream and other perpendicular to it. The mean velocity in the pipe is 0.80 of the central velocity Find the discharge through the pipe if the pressure difference between the two orifices 60 mm of water. Take the co-efficient of pitot tube as C, = 0.98.arrow_forward
- A centrifugal pump driven by a 120-kW motor rotating at 2400 rpm is used to pump 20°C water in a manufacturing plant. The pump operates against a head of 30 m and has an efficiency of 70%. If this pump is situated 9 m below the level of the source, calculate (Zs)max and determine if the pump is safe from cavitation. Select one: O a. -7.9 m; NOT SAFE O b. -9.7 m; NOT SAFE O c. -7.9 m; SAFE O d. -9.7 m; SAFEarrow_forwardA pump with an impeller diameter of 300 mm running at a speed of 2950 rev/min delivering 450 L/min of water at a head of 350 kPa is going to be replaced by a geometrically similar spare pump running at a speed of 1450 rev/min delivering the same flow rate and head. Determine the impeller size of the spare pump and the percentage increase (decrease) of power required for the spare pump. OL. 380.1 mm; a decrease of 61.33% OI., 380.1 mm; an increase of 38.77% I. 147.5 mm; an increase of 3.4% IV. 210.3 mm; a decrease of 83.1%arrow_forwardThe impeller of the centrifugal pump is 350 mm diameter, and the width of the blade passages at outlet is 18 mm. A pump, which runs at 16.6 rev/s, is mounted so that its centre is 2.4 m above the water level in the suction sump. It delivers water to a point 19 m above its centre; the friction loss in the suction pipe is 68 Q² meter and that in the delivery pipe is 650 Q² meter where Q in m3/s is the rate of flow. The blades themselves occupy 5% of the circumference and are backward facing at 35° to the tangent. At inlet, the flow is radial and the radial component of velocity remains unchanged through the impeller. Assuming that 50% of the velocity head of the water leaving the impeller is converted to pressure head in the volute, and that friction and shock losses in the pump, the velocity heads in the suction and delivery pipes are negligible, calculate the following:The flow rate, m3/s, of the pump. Manometric efficiency, in %, of the pump.arrow_forward
- The impeller of the centrifugal pump is 350 mm diameter, and the width of the blade passages at outlet is 18 mm. A pump, which runs at 16.6 rev/s, is mounted so that its centre is 2.4 m above the water level in the suction sump. It delivers water to a point 19 m above its centre; the friction loss in the suction pipe is 68 Q² meter and that in the delivery pipe is 650 Q² meter where Q in m3/s is the rate of flow. The blades themselves occupy 5% of the circumference and are backward facing at 35° to the tangent. At inlet, the flow is radial and the radial component of velocity remains unchanged through the impeller. Assuming that 50% of the velocity head of the water leaving the impeller is converted to pressure head in the volute, and that friction and shock losses in the pump, the velocity heads in the suction and delivery pipes are negligible, calculate the following: The flow rate, m3/s, of the pump. Manometric efficiency, in %, of the pump.arrow_forwardA 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 a 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 through the pipe.arrow_forward3. A centrifugal pump is to be placed above a large, open water tank, as shown in the figure below. Water is pumped at a rate of I cu ft/s. At this flow rate the required net positive suction head, NPSHR, is 15 ft as specified by the pump manufacturer. The water temperature is 80°F and atmospheric pressure is 14.7 psi. Assume that the major head loss between the tank and the pump inlet is due to filter at the pipe inlet having a minor loss coefficient KL.-20. Other losses can be neglected. The pipe on the suction side of the pump has a diameter of 5 in. The water vapor pressure at 80°F is 0.5069 psia and y-62.22 lb/cu.ft. Determine Z1 for cavitation not to occur.. P1-Patm (1) (2) Reference planearrow_forward
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