Ce f312 first sem 13-14_pipe networks_evaluated assignment_ii
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Transcript of Ce f312 first sem 13-14_pipe networks_evaluated assignment_ii
Evaluative Assignment Sheet II on Flow Analysis in Pipes CE F312: Hydraulic Engineering
BIRLA INSTITUTE OF TECHNOLOGY AND SCIENCE, Pilani
Pilani Campus
ASSIGNMENT SUBMISSION FORM
FIRST SEMESTER 2013-2014
COURSE NO.: CE F312 & COURSE TITLE: HYDRAULIC ENGINEERING
This form must be filled in and completed by the student submitting an assignment
of the above course. Assignments submitted without the completed form will not be
accepted.
Name:
ID No. :
Assignment No. and Title:
Submission Date:
I declare that this assignment, which I now submit for assessment, is entirely my own
work and has not been taken from the work of others. I understand that plagiarism,
collusion, and copying are grave and serious offences in our Institute and accept the
penalties that would be imposed should I engage in plagiarism, collusion or copying. This
assignment, or any part of it, has not been previously copied from any other person for
assessment on this or any other course of study.
Signature of student:_______________________________ Date: _________________
Evaluative Assignment Sheet II on Flow Analysis in Pipes CE F312: Hydraulic Engineering
BIRLA INSTITUTE OF TECHNOLOGY AND SCIENCE, PILANI
FIRST SEMESTER 2013-2014:
Course No.: CE F312 Hydraulic Engineering
Assignment II on Flow Analysis in Pipes
Last date of Submission: 10 October 2013 ---------------------------------------------------------------------------------------------------------------------
Note: (i) Attempt all questions.
(ii) Make necessary assumptions, if required.
(iii) Take ‘XXX’ = last 3 digits of your ID. No. in general if it is not
specified.
(iv) Assignment submission form must be filled in and completed by
the student submitting an assignment. (v) This assignment is to be submitted by each individual student registered
in this course. Please note that academic honesty and integrity are integral
part of your learning process which must be maintained by you
throughout the Semester. No type of academic malpractice is acceptable.
Copying or plagiarism of any form or extent is not allowed at all. You
must not copy your assignment from another student’s assignment. Any
such act will be considered to be a violation of the academic policy of
BITS Pilani and will invite disciplinary action. ---------------------------------------------------------------------------------------------------------------------
Q.1 For the pipe network given in Fig. Q.1, (a) determine the flow distribution in each
pipe with direction and (b) piezometric heads at the junctions using the Hardy
Cross method of solution. Assume that losses are proportional to Q2. If last three
numbers of your ID No. is between 0 and 100, take ‘XXX’ = last 3 numbers of
your ID. No. However if last three numbers of your ID No. lie between 340 and
570, assume ‘XXX’ = 0.20 times of last 3 numbers of your ID No. (c) Explain
under what circumstances is it required to provide a pump for this pipe network.
Also explain what kind of data is required if you need to install a pump in this
network. How would you analyze it if a pump is included in this network?
Please state any additional assumptions if required, and explain the solution
of the problem in your own words.
Figure Q.1
Q.2 A 60.0m long pipe with a diameter of 0.03m is used to circulate water at 25 °C
from a large tank through a filter and back to the tank as shown in Figure Q.2.
The power added to the water by the pump is 270 N. m/sec. Determine the flow
Evaluative Assignment Sheet II on Flow Analysis in Pipes CE F312: Hydraulic Engineering
rate through the filter. Take ɛ/D = 0.01 for the pipe and dynamic viscosity of fluid
= 1.12 x 10-3
N.Sec/m2
where ɛ = average height of protrusions in the pipe. In
your solution, use all possibilities to determine the Darcy friction factor (f). What
type of fluid flow problem is it? Use the most suitable relation, and compare
the results from each method. What is the most accurate method and why?
In your submission, state your assumptions and show all analysis procedures.
Comment on your final answer. (You may consider power added to the water
by the pump pp ρgQhW =& ).
Figure Q.2
Q.3 Pipes 1 and 2 connect reservoir 1 [water level (W.L.) = 90.00 m which is working
like a sump], and reservoir 2 (W.L. = 100.00 m), respectively, to a junction point
J as shown in Fig. below. A third pipe, pipe 3, starts from the junction point J and
discharges into the atmosphere at point 3. A pump is also fitted in pipe 1 as shown
in the figure, characteristics curve of which may be obtained by considering
typical discharge-head data-0.0 m3/s: 18.0m, 0.1 m
3/s: 16.5 m, 0.2 m
3/s: 14.7 m,
0.3 m3/s: 11.9 m, and 0.4 m
3/s: 8.0 m (You may develop the corresponding head-
discharge curve or the corresponding discharge-head curve MS Excel). It is seen
that both curves are concave. The length, diameter and CH-W coefficient values of
the pipes are: Pipe 1 – 300 m, 300 mm, 100; pipe 2 – 250 m, 200 mm, 130; and
pipe 3 – 120 m, 300 mm, 100. Determine the discharges in pipes 1 and 2 and the
hydraulic gradient level (HGL) values at points J and 3, when the outflow at point
3 is 0.XXX m3/s where XXX is last 3 numerical digits of your ID. No. For the
pipe diameter in millimeters (D), pipe length in meters (L) and discharge in m3/s,
the resistance constant for a pipe may calculated using 4.871.852
WH
15
pipeDC
L104.351 R
×
××=
−
and
1.852f RQh = .
Figure Q.3
Evaluative Assignment Sheet II on Flow Analysis in Pipes CE F312: Hydraulic Engineering
In your submission, state your assumptions and show all analysis procedures.
Comment on your final answer. Q.4 A certain part of cast iron piping of a water distribution system involves a parallel
section. Both parallel pipes have a diameter of 30 cm, and the flow is fully
turbulent. One of the branches (pipe A) is 1000 m long while the other branch
(pipe B) is 3000 m long. If the flow rate through pipe A is 0.4 m3/s, determine the
flow rate through pipe B. Disregard minor losses and assume the water
temperature to be 150C. Show that the flow is fully turbulent, and thus the friction
factor is independent of Reynolds number. Assume that the density and dynamic
viscosity of water at 15°C are ρ = 999.1 kg/m3
and µ =1.138×10-3
kg/m·s. The
roughness of cast iron pipe is k = 0.00026 m.
Figure Q.4
In your submission, state your assumptions and show all analysis procedures.
Comment on your final answer.
Q.5 Water from a treatment plant is pumped into a distribution system at a rate of 4.38
m3/s, a pressure of 480 kPa, and a temperature of 20
0C. The diameter of the pipe
is 750 mm and is made of ductile iron with the equivalent sand roughness of
ductile iron (= 0.26 mm). Estimate the pressure xxx m downstream of the
treatment plant if the pipeline remains horizontal. After 20 years in operation,
scale buildup is expected to cause the equivalent sand roughness of the pipe to
increase by a factor of 10. Determine the effect on the water pressure ‘xxx’ m
downstream of the treatment plant.
In your submission, state your assumptions and show all analysis procedures.
Comment on your final answer. Q.6 Consider a problem where discharge is unknown. A fire protection system is
supplied from a water tower and standpipe which is 25.0 m tall. The longest pipe
in the system is ‘xxx’ m where ‘xxx’ is last 3 digits of your ID. No. and is made
of cast iron about 20 years old. The pipe contains one gate valve; other minor
losses may be neglected. The pipe diameter is 10 cm. Determine the maximum
rate of flow through this pipe. You may assume that minor loss for a fully open
gate valve hLm = D g 2
VL f 2
e ; where equivalent length parameter 8 D
L e= when gate
is fully open. To be conservative, also assume that the standpipe is having the
same diameter as the horizontal pipe. Take kinematic viscosity of water -610 x 1.124 =ν m
2/sec and use Table 14.1 if it is necessary.
In your submission, state your assumptions and show all analysis procedures.
Comment on your final answer. Q.7 Please refer a paper on “Graph-Theoretical Models for Pipe Network Analysis”
by H. K. Kesavan, and M. Chandrashekar in ASCE Journal of Hydraulics
Evaluative Assignment Sheet II on Flow Analysis in Pipes CE F312: Hydraulic Engineering
Division, Vol. 98, No. Hy2, pp. 345-364, February 1972. In this paper Graph-
theoretic models were developed for the analysis of nonlinear pipe networks. Both
symbolic formulation procedures as well as illustrative examples were presented.
The topological information contained in the continuity equations together with
the component characteristics are used to derive the minimum set of independent
equations in a systematic manner. In contrast to conventional methods, the
nonlinearities associated with components in the network are treated as an integral
part of the formulation procedures and thus they do not require any special
treatment. One of the main advantages of the graph-theoretic approach is that the
formulation procedure is independent of the numerical technique used to solve the
resulting set of nonlinear equations. In other words, once the equations are
formulated, a suitable numerical method for solution can be chosen. The graph-
theoretic formulation procedures are highly computer worthy.
Analyze the pipe network given below using Graph-theoretic models as discussed
in the above paper by taking all input data same as given in the paper except Qin
and Qout. Compare the results with Hardy Cross method. What are your findings?
Discuss point wise. (This is not included in Mid-Semester Test)
In your submission, state your assumptions and show all analysis procedures.
Comment on your final answer. Q.8 Suppose a new water supply lines are to be laid in BITS campus. Fig. below
shows the various zones of the campus and the fictitious population in each zone.
The pipe-lines are to be laid in dead end type. The average requirement of the
town is 175 liters/day/capita. Design the sizes of the distribution pipes AB, BC,
CD and DE with the following data and using Nomograph for Hazen-William’s
formula for C=100:
(i) Take the population for design as given in the Figure.
(ii) The reduced level of the bottom of the service reservoir (Over Head Tank) is
185.5 m and assume that OHT is very near to Point A.
(iii)The reduced level of the pipe points on the main road are: at A 168.0m, at B
154.0 m, at C 146.0 m, at D 146 m and at E is 140.0 m.
(iv) The assumed length of pipe AB is 700 m, pipe BC is 500 m, pipe CD is 800
m, and that of DE is 1000 m.
(v) The distribution system should be designed for a maximum demand of 3 times
the average demand.
(vi) The minimum pressure head to be maintained at any point in the distribution
system should be 15.0 m.
In your submission, state your assumptions and show all analysis procedures.
Comment on your final answer.
Qin = xxx, in m3/sec Qout2 = 75% of xxx, in m
3/sec
Qout1 = 25% of xxx, in m3/sec
Evaluative Assignment Sheet II on Flow Analysis in Pipes CE F312: Hydraulic Engineering
-----End of Assignment II-----
2500
SQ
TE
OHT
500
250
250
100
200
500
250
250
200
250
250
200
200
50
150
200
250
250
100
1000
200
900
450
Gym
MC
Coop
SK
VY
BET
BBV
BSV
MB
SQ
AK
RP
UCO
PO
BG
VK
WS
FDI
Lib
GN
KR
FDII
BD
RM
FDIII
SL
ML, MLE &
SAC
A B C D E
200
200
100
50
50
Evaluative Assignment Sheet II on Flow Analysis in Pipes CE F312: Hydraulic Engineering