A pipe can be used to measure the viscosity of a fluid. A liquid flows in a 1.5-cm

Kerosene (20 C) flows at a rate of0.02 m Is in a 17.7-cm-diameter pipe. Would you expect the flow to be laminar or turbulent? Calculate the entrance length.

A compressor draws 0.3 m 'Is of ambient air (20C) in from the outside through a round duct that is 10m long and 150 mm in diameter. Determine the entrance length and establish whether the flow is laminar or turbulent.

Design a lab demo for lan1inar flow. Specify the diameter and length for a tube that carries SAE 10W-30 oil at 38C so that the system demonstrates laminar flow, and fully developed flow, with a discharge of Q = 0.1 Lis

Using *I 0.3 and other resources, answer the following questions. Strive for depth, clarity, and accuracy while also combining sketches, words, and equations in ways that enhance the effectiveness of your communication. a. What is pipe head loss? How is pipe head loss related to total head loss? b. What is the friction factor f? How is f related to wall shear stress? c. What assumptions need to be satisfied to apply the Darcy-Weisbach equation?

For each case that follows. apply the Darcy-Weisbach equation from Eq. (10.12) in 10.3 to calculate the head loss in a pipe. Apply the grid method to carry and cancel units. a. Water flows at a rate of 20 gpm and a mean velocity of 180 ftlmin in a pipe of length 200 feet. For a resistance coefficient off= 0.02, find the head loss in feet. b. The head loss in a section of PVC pipe is 0.8 m, the resistance coefficient isf = 0.012, the length is 15m, and the flow rate is 1 cfs. Find the pipe diameter in meters.

As shown, air (20C) is flowing from a large tank, through a horizontal pipe, and then discharging to ambient. The pipe length is L = 50 m, and the pipe is schedule 40 PVC with a nominal diameter of 1 inch. The mean velocity in the pipe is 10 mls. and f = O.Ql5. Determine the pressure (in Pa) that needs to be maintained in the tank.

Water {15C) flows through a garden hose (ID = 22 mm with a mean velocity of 2 mls. Find the pressure drop for a section of hose that is 20 meters long and situated horizontally. Assume thatf= 0.012.

As shown, water (15C) is flowing from a tank through a tube and then discharging to ambient. The tube has an ID of 8 mm and a length of L = 6 m, and the resistance coefficient is f = 0.0 15. l11e water level is H = 3 m. rind the exit velocity in m/s. Find the discharge in Lis. Sketch the HGL and the EGL. Assume that the only head loss occurs in the tube.

Water flows in the pipe shown, and the manometer deflects 90 em. What isffor the pipe if V = 3 m/s?

A fluid (J..l. = 10 2 N s/m2 ; p = 800 kg/m1 ) flows with a mean velocity of 4 em ~ in a 10 em smooth pipe. a. What is the value of Reynolds number? b. What is the magnitude of the maximum velocity in the pipe? c. What is the magnitude of the friction factor f? d. What is the shear stress at the wall? e. What is the shear stress at a radial distance of 25 mm from the center of the pipe?

Water (15C) flows in a horizontal schedule 40 pipe that has a nominal diameter of0.5 in. 'lhe Reynolds number is Re = I 000. Work in SI units. a. What is mass flow rate? b. What is the magnitude of the friction factor f? c. What is the head loss per meter of pipe length? d. What is the pres~ure drop per meter of pipe length?

How of a liquid in a smooth 2.5 em pipe yields a head loss of 2 m per meter of pipe length when the mean velocity is 0.5 m/s. Calculate fand the Reynolds number. Prove that doubling the flow rate will double the head loss. Assume fully developed flow.

As shown, a round tube of diameter 0.5 mm and length 750 mm is connected to plenum. A fan produces a negative gage pressure of -1.5 inch H20 in the plenum and draws air (20C) into the microchannel. What is the mean velocity of air in the microchannel? Assume that the only head loss is in tl1e tube.

Liquid ('y = 10 kN/m3 ) is flowing in a pipe at a steady rate, but the direction of flow is unknown. Is the liquid moving upward or moving downward in the pipe? If the pipe diameter is 8 mm and the liquid viscosity i~ 3.0 X 10 3 N s/mz, what is the magnitude of the mean velocity in the pipe?

Oil (S = 0.97, J..l. = 10 z lhf-s/ft2) is pumped through a nominal! in., schedule 80 pipe at the rate of 0.004 cfs. What is ilie head loss per I 00 ft of level pipe?

A liquid (p = 1000 kg/m 1 ; J..l. = 10 1 N s/2 mz; v = 10 1 m2 /s) flows uniformly with a mean velocity of 1.5 m/s in a pipe with a diameter of I 00 mm. Show that the flow is laminar. A I so, find the friction factor f and the head loss per meter of pipe length.

Kerosene (S = 0.80 and T = 68F) flows from the tank shown and through the 1/4 in.-diameter (JD) tube. Determine the mean velocity in the tube and the discharge. Assume the only head loss is in the tube.

Oil (S = 0.94; f.L = 0.048 N s/m2 ) is pumped through a horizontalS em pipe. Mean velocity is 0.5 m/s. What is the pressure drop per 10 m of pipe?

Oil (S = 0.80; f.L = I o-2 lbf-s/ft2 ; v = 0.0057 ft2 /s) flows downward in the pipe, which is 0.10 ft i11 diameter and has a slope of 30 with the horizontal. Mean velocity is 3 ft/s.What is the pressure gradient (dplds) along the pipe?

In the pipe system shown, for a given discharge, the ratio of the head loss in a given length of the 1 m pipe to the head loss in the same length of the 2m pipe is (a) 2, (b) 4, (c) 16, or (d) 32

Glycerine (T = 68F) flows in a pipe with a 6-in. diameter at a mean velocity of 1.5 ft/s.ls the flow laminar or turbulent? Plot the velocity distribution across the flow section, in 0.5-in. increments of radius.

Glycerine (T - 20C) flows through a funnel a~ shown. Calculate the mean velocity of the glycerine exiting the tube. Assume the only head loss is due to friction in the tube

What nominal size of steel pipe should be used to carry 0.2 cfs of castor oil at 90F a distance of 0.5 mi with an allowable pressure drop of I 0 psi (J.L = 0.085 lbf-s/ft2 )? Assume S = 0.85.

Velocity measurements are made in a 30-cm pipe. The velocity at the center is found to be 1.5 m/s, and the velocity distribution is observed to be parabolic. If the pressure drop is found to be 1.9 kPa per 100m of pipe, what is the kinematic viscosity v of the fluid? Assume that the fluid's specific gravity is 0.80.

The velocity of oil (S = 0.8) through the S-cm smooth pipe is 1.2 m/s. Here L = 12 m, z 1 = 1 m, z2 = 2m, and the manometer deflection is 10 em. Determine the flow direction, the resistance coefficient f, whether the flow is laminar or turbulent, and the viscosity of the oil.

The velocity of oil (S = 0.8) through the 2 in. smooth pipe is 5 ft/s. Here l. = 30ft, z1 = 2 ft, z2 = 4ft. and the manometer deflection is 4 in. Determine the flow direction, the resistance coefficient f. whether the flow is laminar or turbulent, and the viscosity of the oil.

Glycerine at 20C flows at 0.6 m/s in the 2-cm commercial steel pipe. Two piezometers are used as shown to measure the piezometric head. The distance along the pipe between the standpipes is l m. The inclination of the pipe is 20. What is the height difference !J.h between the glycerine in the two standpipes?

Use Figure 10.14, Table 10.3, and Table 10.4 (in 10.6) to assess the following statements as True or False: a. 1f k,!D is 0.05 or larger, and the flow is turbulent, the value of fis not dependent on Re0 . b. For smooth pipes and turbulent flow.j depends on k,ID and not Rei!. c. For laminar tlow,fis always given by J = 64/Re0 . d. lfRe0 = 2 X 107 and k,ID = 0.00005, thenf = 0.012. e. If Re0 = 1000 and the pipe is smooth.j =0.04. f. '!he sand roughness height k, for wrought iron is 0.002 mm.

Water (70F) flows through a nominal 4-in., schedule 40, PVC pipe at the rate of 1 cfs. What is the resistance coefficient/? Use the Swamee-jain Eq. (10.39) in 10.6.

Water at 20C flows through a 2-cm ID smooth brass tube at a rate of 0.003 m3 /s. What isjfor this flow? Use the Swamee-Jain Eq. (10.39) in 10.6.

Water (10C) flows through a 25-cm smooth pipe at a rate of 0.05 m3 /s. What is the resistance coefficient f?

What isjforthe flow of water at I0C through a 10-cm cast-iron pipe with a mean velocity of 4 m/s?

A fluid (J.L = 10 z N s/mz; p = 800 kg!m1 ) flows with a mean velocity of 500 mm/s in a 100-mm-diameter smooth pipe. Answer the following questions relating to the given flow conditions. a. What is the magnitude of the maximum velocity in the pipe? b. What is the magnitude of the resistance coefficient f? c. What is the shear velocity? d. What is the shear stress at a radial distance of 25 mm from the center of the pipe? e. If the discharge is doubled, will the head loss per length of pipe also be doubled?

Water (20C) flows in a 16-cm cast-iron pipe al a rate of 0.1 m3 /s. For these conditions, determine or estimate the following: a. Reynolds number b. friction factor j(use Swamee-Jain Eq. (10.39) in 10.6.) c. Shear stress at the wall,,. 0

In a 4-in. uncoated cast-iron pipe, 0.02 cfs of water llows at 60F. Determine /from Fig. 10.14.

Determine the head loss in 900ft of a concrete pipe with a 6 in. diameter (k, = 0.0002 ft) carrying 3.0 cfs of fluid. The properties of the fluid are v = 3.33 X I 0-3 ftlts and p = 1.5 slug!ft 1 .

A pipe can be used to measure the viscosity of a fluid. A liquid flows in a 1.5-cm smooth pipe I m long with an average velocity of 4 m/s. A head loss of 50 em is measured. Estimate the kinematic viscosity.

For a 40-cm pipe, the resistance coefficientfwas found to be 0.06 when the mean velocity was 3m/sand the kinematic viscosity was 10-5 m2 /s.lf the velocity were doubled, would you expect the head Joss per meter of length of pipe to double, triple, or quadruple?

Water (50F) flows with a speed of 5 ft/s through a horizontal run of PVC pipe. The length of the pipe is 1 00 ft, and the pipe is schedule 40 with a nominal diameter of 2.5 inches. Calculate (a) the pressure drop in psi, (b) the head loss in feet, and (c) the power in horsepower needed to overcome the head Joss.

Water (I 0C) flows with a speed of 2 m/s through a horizontal run of PVC pipe. The length of the pipe is 50 m, and the pipe is schedule 40 with a nominal diameter of 2.5 inches. Calculate (a) the pressure drop in kilopascals, (b) the head loss in meters, and (c) the power in watts needed to overcome the head loss

Air flows in a 3-cm smooth tube at a rate of 0.015 m3 /s. If T = 20C and p = J I 0 kPa absolute, what is the pressure drop per meter of length of tube?

Points A and B arc 3 mi apart along a 24-in. new cast-iron pipe carrying water (T = 50F). Point A is 30 ft higher than B. The pressure at B is 20 psi greater than that at A. Determine the direction and rate of flow.

Air flows in a l-in. smooth tube at a rate of 30 cfm. If T = 80F and p - IS psia, what is the pressure drop per foot of length of tube?

Water is pumped through a vertical!O-cm new steel pipe to an elevated tank on the roof of a building. The pressure on the discharge side of the pump is 1.6 MPa. What pressure can be expected at a point in the pipe 110 m above the pump when the now is 0.02 m 1 /s? Assume T = 20C.

The house located on a hill as shown is flooded by a broken waterline. The frantic owners siphon water out of the basement window and down the hill in the backyard, with one hose, of length L, and thus an elevation difference of h to drive the siphon. Water drains from the siphon, but too slowly for the desperate home owners. They reason that with a larger head difference, they can generate more flow. So they get another hose, same length as the first, and connect the 2 hoses for total length 2L. The backyard has a constant slope, so that a hose length of 2L correlates to a head difference of 2h. a. Assume no head loss, and calculate whether the flow rate doubles when the hose length is doubled from Case 1 (length Land height h) to Case 2 (length 2L and height 2h). b. Assume hL = 0.025(LID)(V2 /2g), and calculate the flow rate for Cases I and 2, where D = I in., L = 50 ft., and h = 20ft. How much of an improvement in flow rate is accomplished in Case 2 as compared to Case I? c. Both the husband and wife of this couple took fluid mechanics in college. They review with new appreciation the energy equation and the form of the head loss term and realize that they should use a larger diameter hose. Calculate the flow rate for Case 3, where L = 50 ft., h = 20 ft, and D = 2 in. Use the same expression for h1. as in part (b). How much of an improvement in flow rate is accomplished in Case 3 as compared to Case 1 in part (b)?

Water (60F) is pumped from a reservoir to a large, pressurized tank as shown. The steel pipe is 4 in. in diameter and 300ft long. The discharge is I cfs. The initial water levels in the tanks arc the same, but the pressure in tank B is 10 psig, and tank A is open to the atmosphere. The pump efficiency is 90%. Find the power necessary to operate the pump for the given conditions.

Using the information at the beginning of 10.7, classify each problem given below as case 1, case 2, or case 3. For each of your choices, state your rationale. a. Problem I 0.51 b. Problem 10.54 c. Problem 10.57

A plastic siphon hose with D = 1.2 em and L = 5.5 m is used to drain water (15C) out a tank. Calculate the velocity in the tube for the two situations given below. Use H = 3 m and II = I m. a. Asswne the llernoulli equation applies (neglect all head loss). b. Assume the component head loss is zero, and the pipe head loss is nonzero.

A plastic siphon hose of length 7 m is used to drain water (15C) out of a tank. For a flow rate of 1.5 L/s, what hose diameter is needed? Use H = 5 m and h = 0.5 m. Assume all head loss occurs in the tube.

As shown, water (70F) is draining from a tank through a galvanized iron pipe. The pipe length is L = 10ft, the tank depth isH = 4ft, and the pipe is l-in. NPS schedule 40. Calculate the velocity in the pipe and the flow rate. Neglect component head loss.

As shown, water ( I5C) is draining from a tank through a galvanized iron pipe. The pipe length is L = 2m, the tank depth is H = I m, and the pipe is a 0.5 inch NPS schedule 40. Calculate the velocity in the pipe. Neglect component head loss.

Air (40C, l atm) will be transported in a straight horizontal copper tube over a distance of 150m at a rate of 0.1 ~/s. If the pressure drop in the tube should not exceed 6 in H20, what is the minimum pipe diameter?

A fluid with v = 10 m2 /s and p = 800 kg/m 3 flows through the 8-cm galvanized iron pipe. Estimate the flow rate for the conditions shown in the figure.

Determine the diameter of commercial steel pipe required to convey 300 cfs of water at 60F with a head loss of I ft per I 000 ft of pipe. Assume pipes are available in the even sizes when the diameters are expressed in inches (that is, I 0 in., 12 in., etc.).

Use Table 10.5 (on p. 381 in I 0.8) to select loss coefficients, K, for the following transitions and fittings. a. A threaded pipe 90 elbow b. A 90 smooth bend with rid = 2 c. A pipe entrance with rid of 0.3 d. An abrupt contraction, with 8 = 180, and D2/ D1 = 0.60 e. A gate valve, wide open

The sketch shows a test of an electrostatic air filter. The pressure drop for the filter is 3 inches of water when the airspeed is 10 m/s. What is the minor loss coefficient for the filter? Assume air properties at 20C.

If the flow of 0.10 m3 Is of water is to be maintained in the system shown, what power must be added to the water by the pump? The pipe is made of steel and is 15 em in diameter.

Water will be siphoned through a 3/16-in.-diameter, 50-in.-long Tygon tube from a jug on an upside-down wastebasket into a graduated cylinder as shown. The initial level of the water in the jug is 21 in. above the tabletop. The graduated cylinder is a 500 mL cylinder, and the water surface in the cylinder is 12 in. above the tabletop when the cylinder is full. The bottom of the cylinder is l/2 in. above the table. The inside diameter of the jug is 7 in. Calculate the time it will take to fill the cylinder from an initial depth of 2 in. of water in the cylinder.

Water flows from a tank through a 2.6-m length of galvanized iron pipe 26 mm in diameter. At the end of the pipe is an angle valve that is wide open. The tank is 2 m in diameter. Calculate the time required for the level in the tank to change from 10m to 2m. Hint: Develop an equation for dh!dt where h is the level and t if time. Then solve this equation numerically.

A tank and piping system is shown. The galvanized pipe diameter is 1.5 em, and the total length of pipe is I 0 m. The two 90 elbows are threaded fittings. The vertical distance from the water surface to the pipe outlet is 5 m. The velocity of the water in the tank is negligible. Find (a) the exit velocity of the water and (b) the height (h) the water jet would rise on exiting the pipe. The water temperature is 20C

A pump is used to fill a tank from a reservoir as shown. The head provided by the pw11p is given by hp = h0(1- Q~ .. )) where hu is 50 meters, Q is the discharge through the pump, and Q., .. is 2 m3 /s. Assume f = 0.018 and the pipe diameter is 90 em. Initially the water level in the tank is the same as the level in the reservoir. The cross-sectional area of the tank is 100m2 How long will it take to fill the tank to a height, h, of 40 m?

A water turbine is connected to a reservoir as shown. The flow rate in this system is 5 cfs. What power can be delivered by the turbine if its efficiency is 80%? Assume a temperature of 70F.

What power must the pump supply to the system to pump the oil from the lower reservoir to the upper reservoir at a rate of 0.20 m3 /s? Sketch the HGL and the EGL for the system.

An engineer is making an estimate of hydroelectric power for a home owner. This owner has a small stream (Q = 2 cf~, T = 40 F) that is located at an elevation H = 34 ti above the owner's residence. The owner is proposing to divert the stream and operate a water turbine connected to an electric generator to supply electrical power to the residence. The maximum acceptable head loss in the penstock (a penstock is a conduit that supplies a turbine) is 3 ft. The penstock has a length of 87ft. If the penstock is going to be fabricated from commercial-grade, plastic pipe, find the minimum diameter that can be used. .:-Jeglect component head losses. Assume that pipes are available in even sizes-that is, 2 in., 4 in., 6 in., etc.

The water-surface elevation in a reservoir is 150ft. A straight pipe 100ft long and 6 in. in diameter conveys water from the reservoir to an open drain. The pipe entrance (it is abrupt) is at elevation 100 fl, and the pipe outlet is at elevation 60ft. At the outlet the water discharges freely into the air. The water temperature is 50F. If the pipe is asphalted cast iron, what will be the discharge rate in the pipe? Consider all head losses. Also draw the HGL and the EGL for this system.

A heat exchanger is being designed as a component of a geothermal power system in which heat is transferred from the geothermal brine to a "clean" fluid in a closed-loop power cycle. The heat exchanger, a shell-and-tube type, consists of 100 galvanized-iron tubes 2 em in diameter and 5 m long, as shown. The temperature of the fluid is 200C, the density is 860 kglm3 , and the viscosity is 1.35 X 10 1 N s/m2 The total mass flow rate through tl1e exchanger is 50 kg/s. a. Calculate the power required to operate the heat exchanger, neglecting entrance and outlet losses. b. After continued use, 2 mm of scale develops on the inside surfaces of the tubes. This scale has an equivalent roughness of 0.5 mm. Calculate the power required under these conditions.

The heat exchanger shown consists of 10m of drawn tubing 2 em in diameter with 19 return bends."Ihe flow rate is 3 X 10 4 m3 /s. Water enters at 20C and exits at 80C. The elevation difference between the entrance and the exit is 0.8 m. Calculate the pump power required to operate the heat exchanger if the pressure at I equals the pressure at 2. Use the viscosity corresponding to the average temperature in the heat exchanger.

A heat exchanger consists of a closed system with a series of parallel tubes connected by 180 elbows as shown in the figure. There are a total of 14 return elbows. 'lhe pipe diameter is 2 em, and the total pipe length is lO m. The head loss coefficient for each return elbow is 2.2. The tube is copper. Water with an average temperature of 40C flows through the system with a mean velocity of8 m/s. Find the power required to operate the pump if the pump is 85% efficient.

A heat exchanger consists of IS m of copper tubing with an internal diameter of 15 mm. There are 14 return elbows in the system with a loss coefficient of 2.2 for each elbow. The pump in the system has a pump curve given by where hpn is head provided by the pump at zero discharge and Omax is 10-~ m3 /s. Water at 40( flows through the system. Find the system operating point for values of frp0 of 2 m, 10m, and 20 m.

Gasoline (T = 50F) is pumped from the gas tank of an automobile to the carburetor through a 1/4-in. fuel line of drawn tubing 10ft long. '1he line has five 90 smooth bends with an rid of 6. The gasoline discharges through a 1/32-in. jet in the carburetor to a pressure of 14 psia. The pressure in the tank is 14.7 psia. 'lbe pump is 80% efficient. What power must be supplied to the pump if the automobile is consuming fuel at the rate of 0.12 gpm? Obtain gasoline properties from Figs. A.2 andA.3.

Find the loss coefficient K.of the partially closed valve that is required to reduce the discharge to 50% of the flow with the valve wide open as shown.

The pressure at a water main is 350 kPa gage. What size of pipe is needed to carry water from the main at a rate of 0.025 m3 /s to a factory that is 160m from the main? Assume that galvanized-steel pipe is to be used and that the pressure required at the factory is 70 kPa gage at a point 8 m above the main connection.

Water is pumped at a rate of 25 m3 /s from the reservoir and out through the pipe, which has a diameter of 1.50 m. What power must be supplied to the water to effect this discharge?

Both pipes in the system shown have an eqttivalent sand roughness k, of 0.10 mm and a flow rate of 0.1 m3 /s, with D1 = 12 em, L1 = 60 m, D2 = 24 em, and L2 = 120m. Determine the difference in the water-surface elevation between the two reservoirs.

Liquid discharges from a tank through the piping system shown. There is a venturi section at A and a sudden contraction at B. The liquid discharges to the atmosphere. Sketch the energy and hydraulic gradelines. Where might cavitation occur?

The steel pipe shown carries water from the main pipe A to the reservoir and is 2 in. in diameter and 240ft long. What must be the pressure in pipe A to provide allow of SO gpm?

If the water surface elevation in reservoir B is 110m, what must be the water surface elevation in reservoir A if a flow of 0.03 m3 /s is to occur in the cast-iron pipe? Draw the HGL and the EGL, including relative slopes and changes in slope.

Air at 60F and atmospheric pressure flows in a horizontal duct with a cross section corresponding to an equilateral triangle (all sides equal). The duct is I 00 ft long, and the dimension of a side is 6 in. The duct is constructed of galvanized iron (k, = 0.0005 ft).The mean velocity in the duct is I 2 ft/s. What is the pressure drop over the 100ft length?

A cold-air duct 100 em by 15 em in cross section is 100m long and made of galvanized iron. Tilis duct is to carry air at a rate of 6m3 /sat a temperature of l5C and atmospheric pressure. What is the power loss in the duct?

Air (20C) flows with a speed of 10 m/s through a horizontal rectangular air-conditioning duct. The duct is 20m long and has a cross section of 4 by I 0 in. (I 02 by 254 mm). Calculate (a) the pressure drop in inches of water and (b) the power in watts needed to overcome head loss. Assume the roughness of the duct is k, = 0.004 mm. Neglect component head losses.

An air-conditioning system is designed to have a duct with a rectangular cross section 1 ft by 2 ft, as shown. During construction, a truck driver backed into the duct and made it a trapezoidal section, as shown. The contractor, behind schedule, installed it anyway. For the same pressure drop along the pipe, what will be the ratio of the velocity in the trapezoidal duct to that i.n the rectangular duct? Assume the Darcy-Weisbach resistance coefficient is the same for both ducts.

If the pump for Fig. I 0.20b is installed in the system of Prob. 10.90, what will be the rate of discharge of water from the lower tank to the upper one?

A pump that has the characteristic curve shown in the accompanying graph is to be installed as shown. What will be the discharge of water in the system?

If the liquid of Prob. 10.92 is a superliquid (zero head loss occurs with the flow of this liquid), then what will be the pumping rate, assuming that the pump curve is the same?

A pipe system consists of a gate valve, wide open (K. = 0.2), in line A and a globe valve, wide open (K. = 10), in line B. 1he cross-sectional area of pipe A is half of the cross-sectional area of pipe B. The head loss due to the junction, elbows, and pipe friction are negligible compared with the head loss through the valves. Find the ratio of the discharge in line B to that in line A.

A flow is divided into two branches as shown. A gate valve, half open, is installed in line A, and a globe valve, fully open, is installed in line B. The head loss due to friction in each branch is negligible compared with the head loss across the valves. Find the ratio of the velocity in line A to that in line B (include elbow losses for threaded pipe fittings).

In the parallel system shown, pipe 1 is 1200 m long and is 50 em in diameter. Pipe 2 is 1500 m long and 35 em in diameter. Assume fis the same in both pipes. What is the division of the flow of water at 10( if the flow rate will be 1.2 m3 /s?

Pipes 1 and 2 are the same kind (cast-iron pipe), but pipe 2 is three times as long as pipe I. They are the same diameter (1 ft). If the discharge of water in pipe 2 is 1 cfs, then what will be the discharge in pipe I? Assume the same value of f in both pipes.

Water flows from left to right in this parallel pipe system. The pipe having the greatest velocity is (a) pipe A, (b) pipe B, or (c) pipe C.

Two pipes are connected in parallel. One pipe is twice the diameter of the other and four times as long. Assume that fin the larger pipe is 0.010 and fin the smaller one is 0.012. Determine the ratio of the discharges in the two pipes.

The pipes shown in the system are all concrete. With a flow of 25 cfs of water, find the head loss and the division of flow in the pipes from A to B. Assume f = 0.030 for all pipes.

A parallel pipe system is set up as shown. Flow occurs from A to B. To augment the Oow, a pump having the characteristics shown in fig. 1 0.20b is installed at point C.:. for a total discharge of 0.60 nr1 /s, what will be the division of flow between the pipes and what will be the head loss between A and B? Assume commercial steel pipe.

For the given source and loads shown, how will the flow be distributed in the simple network, and what will be the pressures at the load points if the pressure at the source is 60 psi? Assume horizontal pipes and .f = 0.0 12 for all pipes.

Frequently in the design of pump systems, a bypass line will be installed in parallel to the pwnp so that some of the fluid can recirculate as shown. The bypass valve then controls the flow rate in the system. Assume that the head-versus-discharge curve for the pump is given by hp = 100 - 100Q, where hp is in meters and Q is in m3/s. The bypass line is 10 em in diameter. Assume the only head loss is that due to the valve, which has a head-loss coefficient of 0.2. The discharge leaving the system is 0.2 m3 /s. Find the discharge through the pump and bypass line.