Monday, July 28, 2014

Water Resources and System Engineering (CE- 6003)- B.Tech. 6th sem

Please find herewith the Question Paper of Water Resources and System Engineering(CE-6003), set by HPU/HPTU (Himachal Pradesh University/ Himachal Pradesh Technical University) for the year 2014.

B.Tech. 6th Semester Examination
Water Resources and System Engineering
Time: 3 Hours                                                                               Max Marks: 100
The candidate shall limit their answers precisely within the answer-book(40 pages) issued to them and no supplementary continuation sheet will be issued.

Note: Attempt five questions selecting one question from each sections A,B,C and D. Question 9 is compulsory, All questions carry equal marks. Non- programmable calculator is allowed.

Section - A
1. (a) Describe the functional requirements of various users in a multipurpose water-resources project. What is the compatibility of these users in the project?
    (b) Discuss inter-basin transfer of water in the context of our country.
                                                                                       (15+5 = 20)
2. (a) The annual runoff data over the catchment area of a reservoir for a successive number of years are given below:
Year:                     1           2           3            4           5            6             7             8
Runoff (cm)       98         143.5    168.3       94          95.3      152.4        110         131.3
Determine  (i) the average yield from the catchment and (ii) storage capacity of the reservoir to use the source fully. Solve analytically. Given, Catchment area  = 1675 km^2.
   (b) Draw a diagram showing the various zones of storage in a reservoir.
                                                                                       (15+5 = 20)

Section - B
3. The data pertaining to a flood protection project to provide full safety against floods up to 50 years frequency are as follows:
Cost of project = Rs. 50 lacs.
Life of the project = 50 years.
Interest rate = 6.5%
Maintenance cost = 2% of the capital cost.
The following additional information is available
Flood frequency (years)              0        5        10         15      30          40      70
Annual damages Rs.(*10^4)       2       25       40          45      61         71      75
Find (i) Annual cost   (ii) Annual benefits and   (iii) Benefit-cost ratio of the project.

4. A 1000 mm diameter pipeline can be installed for Rs. 2 lacs. The annual operating and maintenance cost is estimated at Rs. 40000/-. An alternative 750 mm diameter pipeline can be installed at Rs. 1.6 lacs. Its annual operating and maintenance cost is estimated at Rs. 60000/-. Either pipeline is expected to serve for 35 years, with 7% salvage when replaced. Compare the two pipelines assuming a 15% rate of interest.                                                           (20)

                                                               Section - C
5. (a) Explain, (i) General structure of a linear programming problem
                      (ii) Feasible space and (iii) Initial basic feasible solution.
    (b) Discuss risk and uncertainty in project evaluation.                              (15+5 = 20)

6. Solve the following linear programming problem graphically:
Maximize  z= (3.x1 + 5.x2) subject to 
      (x1 + 2.x2) <= 2000
      (x1 + x2) <= 1500
       x2<= 600 and x1, x2 >=0                                                                      (20)

                                                             Section - D
7. Four water resources projects are to be allocated from limited funds in a small district. These projects produce net independent returns as shown below. using dynamic programming, determine the optimal allocation of 1 million rupees
Investment Rs.(*10^6)            NET RETURNS FROM A PROJECT Rs. (* 10^4)
                                          Project 1         Project 2         Project 3         Project 4 
        2                                      4                    2                     6                       6
        4                                      0                    3                     12                      1
        6                                      6                    4                     12                      6
        8                                      9                    5                     12                     15
        10                                   10                   6                     12                     12 
8. (a) Discuss the application of system engineering in water resources projects.
    (b) Explain the use of mathematical models in forecasting hydrological events.   (10+10 = 20)

                                                 Section - E (Compulsory)
9. (i) Discuss the role of water in the development of water resources. 
    (ii) What is watershed management and what are its elements?
    (iii) Explain reservoir sedimentation.
    (iv) Enumerate the various steps involved in the planning of a water resources project.
    (v) Differentiate between micro and macro economics.
    (vi) Explain the term capital recovery factor.
    (vii) Discuss system engineering.
    (viii) What is dynamic programming? How it differs from linear programming?
    (ix) Describe principle of optimality.
    (x) What is simulation and what are its limitations?                                            (10*2 = 20)


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