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Subject: Irrigation and Drainage Engineering × Author: Aanchal Kumari × End date: 2024 × Start date: 2020 × Type: Thesis ×
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    ThesisItemOpen Access
    Optimal design of main line for centre pivot sprinkler system
    (G.B. Pant University of Agriculture and Technology, Pantnagar, District Udham Singh Nagar, Uttarakhand. PIN - 263145, 2022-09) Aanchal Kumari; Singh, R.P.
    The main line is an important component as a pipeline of the centre pivot sprinkler irrigation system. in this study optimization model is developed for designing a multi-diameter main line to operate the nested centre pivot system. the optimization model minimizes the total annual cost as the sum of fixed and energy costs of the system with constraints imposed according to design requirements. the annual fixed cost includes the initial cost of the pipeline multiplied by the capital recovery factor. The annual energy cost is computed on the basis of frictional head loss of the pipeline and other economic factors. the sum of frictional head loss and elevation head in each section of the pipeline is computed and the resultant is used as the basis of obtaining pressure head variation at the operating points of the main line. frictional head loss computation in the main line was performed by the hazen-william’s formula for different cases of three, four and five pipe sizes combinations. the constraints are imposed in the form of pressure head at the critical point and total length for each section of the pipeline. a standard design problem was solved with the help of lingo 10.0 for verifying the results as well as to show the applicability of the developed optimization model considering the combinations of different pipe sizes. the effect of pressure head at the critical operating point was analyzed on the optimal solutions. further, a greater number of pipe sizes combination resulted in the lower cost. all the combination of pip sizes resulted in different maximum optimal cost for the same value of pressure head at the critical point of main line. in the initial range of the pressure head at the critical operating point, the pressure heads at the operating points of the main line were having the same value. it was found that optimization model resulted in the lower optimal cost than the graphical method. also, optimization model resulted in about 35 %, 48 % and 50 % for the three, four and five pipe sizes combination respectively than the graphical method with lesser pressure head variation at the operating points.