Numerical Solution of Discharge Calculations of The Three Reservoir Problems
Listiana Satiawati
Program Studi Tenik Perminyakan, Fakultas Teknologi Kebumian dan Energi, Universitas Trisakti.
Jl. Kyai Tapa no. 1 Grogol Jakarta Barat 11440
Abstract
Proper and careful planning on the calculation of discharge in pipes in a system of three or more reservoirs are very important for the oil or the drinking water industry, as a collecting channel or as a fluid distribution. The discharge of fluid entering the pipe and coming out of the pipe can be calculated assuming the discharge flow is close to zero at the branching of the piping system. The debit calculation in this system can be done analytically and numerically, the numerical calculation will be faster than the analytical method. There are a number of analytical and numerical calculations that have been carried out by previous researchers, in this paper we do calculations by coding using other languages, namely Fortran. Calculations use data including elevation, length, diameter, roughness and friction factor from the pipe as well as Reynolds number data. Also uses the Moody Diagram, and the equations used are Bernoulli Equations, Continuity Equations, and Darcy-Weishbach Equations. In this paper numerical calculations using the Fortran program have been performed by displaying flow chart, coding, and the results of numerical calculations. The results obtained are quite in accordance with the results that have been calculated first, namely using the analytical method and linear interpolation by Streeter and numerical calculations that use Hardy Cross Method by Potter and Douglas. Deviation between our calculations with previous calculations, both analytically and numerically around 1%. So we conclude that our coding can be used for the calculation of debit in the three reservoir system planning. We present the numerical calculation results in the form of partial data while the complete data is presented in graphical form. This research can be continued to calculate a system of more than three reservoirs.
Keywords: Discharge, Reynolds Numbers, Moody Diagram, Bernoulli Equations, Continuity Equation, Darcy-Weishbach equation, Three Reservoir System
Topic: Petroleum and Geothermal Engineering