Pipes:
1. For laminar flow conditions, what minimum size of pipe will deliver 6 liters/s of medium oil having a kinematic viscosity of 6.1010−62/ ? 2. il with dynamic viscosity of !.1! "a ∙s and specific gravity of !.#$ flows through %!!!m of %!cm cast&iron pipe at the rate of '' liters/s. Find the head lost du e to friction. %. (etermine the type of flow occurring in a %!cm diameter pipe when) *a+ ater at 6!-F * = 1.1310−62/ + flows at a velocity of 1 /. *+ eavy oil at 60℉( = 2.0510 −42/ + flows at a velocity of 1 /. '. 0ompute the lower critical velocity for 1! cm pipe carrying heavy oil where ( 3 #4$ kg/3and = 4.4610−52/ + . $. 5 pump #! efficient delivers heavy oil ( = 912kg/3 ; = 2.0510−42/) through $!!m of $cm diameter pipe to a storage tank whose oil level l evel is %m higher than that of the supply tank. For a flow of 'liters/s determine the input power of the pump. 6. 5 tank tank used to store commercial oil ( = 950 kg /3 ; = 210−32/) is 1$m diameter and contains 1!!!m % of oil. 5 2!cm pipe $!m long connected to the ottom of the tank has its discharge end 6m elow the ottom. 5 gate valve *7 v 3 !.2! when fully opened+ is located near the discharge end. Find the laminar flow in the pipe when the valve is fully opened. 0heck the 8eynolds numer 8e. 9. 5 new cast&iron pipe '!!m long and 1$cm in diameter carries '2liters/s of water. (etermine the frictional loss of head. #. (etermine the discharge of water through a $cm wrought&iron pipe if the frictional loss is #!7"a per %!m of pipe. 4. hat diameter of new cast&iron pipe 1.6km long is re:uired to discharge !.12$3/ of water with a loss of head of 19;/f the pressure at = is 1'!7"a greater than at 5, determine the direction and amount of flow. 11.>f 11.>f the roughness of the pipe in prolem 1! increases 1! of its original value each year ,what percent of increases in the necessary pressure at 5 can e epected after 1! years of service ? 12. il with specific gravity of !.4!2 flows through 1.2!m long of 6.%$mm glass tuing with a head loss of 16.$cm of oil. @he measured discharge is 6.810−73/. (etermine the dynamic viscosity.
1%. 5 new cast&iron pipe 2!cm in diameter and %!m long having a sharp&cornered entrance draws water from a reservoir and discharges into the air. hat is the difference in elevation etween the water surface in the reservoir and the discharge end of the pipe if the flow is 1'!liters/s? 1'. 5 new cast&iron pipe %!cm in diameter and 16!!m long carries water from a reservoir and discharges into the air. >f the entrance is %m elow the water level in the reservoir and the pipe is laid on a downgrade of 1m per $!!m, find the discharge 1$. 5 new cast&iron pipe %!cm in diameter and %!m long connects two reservoirs, oth ends sharp&cornered and sumerged. (e termine the difference in elevation etween the water surfaces in the two reservoirs if the discharge is !.'$m %/s. 16. hat diameter of smooth concrete pipe 1!!!m long will carry 1.'!m %/s etween two reservoirs under a head of 1m, oth ends of the pipe having a sharp&corner and sumerged? 19. @hree new cast&iron pipes are connected in series as shown in Fig. 5. >f the discharge is 2%! liters/s determine the head lost) *a+ neglecting minor losses *+ considering minor losses. 1#. @hree new cast&iron pipes connected in series are shown in Fig. =. determine the total frictional losses if the discharge is 2!! liters/s. find also the difference etween the water surface in the reservoir and the discharge end of the third pipe. 14. (etermine the discharge through three new cast&iron pipes connected in series, having the diameters as shown in Fig. 0. the total frictional loss, ecluding minor losses, is $;/<. use n 3 !.!11 for all pipes. 2!. @wo pipes with 0 1 3 12! *azen&illiams constant+ connected in series, discharge '.9$ft% / s. with a loss of head of 29 ft. each pipe has a length of 1!!!ft . >f one has a diameter of 1# in. determine the diameter of the other, neglecting minor losses. 21. Fig. ( shows a pipe system in parallel with a total flow of '!! liters/s. determine the division of flow and the loss of head from 5 to =. Ase n 3 !.!11 for oth pipes. 22. >n "rolem 21, if the head loss from 5 to = is ' ;/<, determine the total flow. 2%. @he discharge of the pipe system shown in Fig. B is ''! liters/s. (etermine the head loss from 5 to (. Ase f3 !.!2! for all pipes. 2'. 5 1$cm pipe leaves a straight 1!cm pipe at a point 5, and later Coins it again at point =. @he distance 5= on the straight 1!cm pipe is 9!!m. ow long will the 1$cm pipe have to e in order that the flow in the two pipes maye the same? 5ssume f 3 !.!2! and neglect minor losses.
2$. @he pipe system shown in Fig. F serves two towns 0 and (. @he highest uilding in town 0 is at BD 21m and that in town ( at BD 1#m. >f f 3 !.!2! for all pipes, what is the flow in each pipe? >f the per capita consumption in the two towns is !.!!%$ liters/s, how many persons could e served in each town? 26. Fig. E shows a pipe system serving towns 0 and (. the population of to wn 0 is 2!,!!! while that of town ( is %!,!!!. (aily per capita consumption is !.!!%$ liters/s. @he proposed pipe line has f 3 !.!2!. (esign the system. 29. (etermine the flow into or out of each reservoir in the pipe system shown in Fig. . Ase n 3 !.!11 for all pipes. 2#.5 pipeline 96!! m long and 1.$ m in diameter supplies # nozzles*0v303!.4$+with water from reservoir 1#! m aove the nozzles . each nozzles has a tip diameter of 9.$ cm. 5ssuming f3!.!19,find the aggregate power availale in the Cets. 24. hat commercial size of new cast&iron pipe *f3 !.!14+ shall e used to carry 2#! liters/s of water with a head loss of 2 ;/< per kilometer of pipe? %!. @he pipe system of Fig. > has the following given properties 5t point 5) a vacuum of %6cm of mercury at point =) a pressure of '!!7"a 5t the 4! ° && end 7 3 !.%$ at the 6!° .=end 7 3 !.2!. >f the discharge is 6!liters/s and f3 !.!1#, determine the pumpGs output power. %1. 5 pump is used to raise water to a reservoir through #!!m of 2!cm diameter pipe with f 3 !.!%%.if the pipe is to e replaced with a new one having the same length ut with a diameter of 2$cm and f 3 !.!22., determine the power saved if the flow is to e maintained at 9! liters/s. %2. >n Fig. ; is shown a 1$cm diameter cast&iron pipe discharging at an elevation higher than the oil surface. >f the oil has a kinematic viscosity of = 2.1010−62/ and specific gravity of !.#', determine the pressure on the surface to cause a discharge of 1% liters/s in the pipe. %%. Hhown in fig. 7 are two reservoirs connected y $!!m of 1!cm pipe with f 3 !.!2!. (etermine the time, after opening the valve *7v 3 !.'!+, when the water surfaces in the reservoirs will e at the same elevation. %'. @he turine shown in Fig. D is located in the %$cm line. >f the turine efficiency is 4!, determine the output power of the turine under the following given conditions) D1 3 122!m (13 %$cm f 13 !.!1# D2 3 61!m (23 1$cm f 23 !.!2' D% 3 2''!m (%3 %!cm f %3 !.!2! I% 3 2%! liters/s
%$. hat power is delivered y the pump shown in the pipe system of Fig. J? D1 3 %!!m (13 %!cm f 13 !.!1# D% 3 1!!!m (%3 2!cm f %3 !.!2% D% 3 1$!!m (%3 2$cm f %3 !.!2! I% 3 1'! liters/s %6.5 new '$ cm cast iron pipe 6!! m long carries 26! liters from reservoir 5,discharging into two new cast iron pipes each $!! m long . ne pipe is %o cm in diameter and leads to reservoir =,in which water surface is $ m lower than in 5 . >f the water surface in 0 is 9 m lower than that at 5 ,determine the diameter of the pipe leading to 0 ,use n3!.!11
