Quantifying the Euphrates Electric Conductivity Depending on Parameters by Dimensional Analysis Method

Abstract

The searching about methods to connect the variables with each other to reach equations including multi variables. The dimensional analysis is a method to facilitate the solution of difficult mathematic equations and experimental formulas; therefore methods of simplifying the difficult equations and obtaining a new equation with different variables is needed. In this study will use 2 methods (statically with dimensionally analysis) to obtain electric conductivity of water of Euphrates river by multi parameters that are time (t), temperature (Te), density, viscosity, discharge and water depth in upstream of Alhindya barrage which located in Babylon governorate, Iraq during winter 2019. The equations were obtained for E C with Te and t by data were collected from Alhindya barrage office with R 2 = 0.999 and R 2 = 0.995 by statically ways. Dimension analysis was utilized via 2 stages. In first stage was obtained on equation of E C with respect to Te, water density ( ρ ) and dynamic viscosity ( μ ) with constant time, depth of water and discharge and we obtain on R 2 was 0.994 and R 2 = 0.986. In second stage was obtained formula of E C with respect to Te, water density ( ρ ), dynamic viscosity ( μ ), with variable time, depth of water and discharge with we obtain on R 2 = 0.945 and R 2 = 0.94. The result of research indicates that applying the dimension analysis to connect more than one variable with each other to find best solutions and best methods to facilitate the solving the equations. From dimension analysis gave a clear visualization of the association of several variables to give a result that helps measure the electrical conductivity of water in the absence of a water test device.