A Mathematical Modelling in Energy Measurement Production of Water Tap Flow

Abstract

Electric power is vital in supporting the economy of current society. Electric power can be obtained from water. Water is one of renewable energy that can be used as hydropower to produce electrical energy. The electric energy can be produced from a generator driven by a waterwheel, which means the electric energy comes from the kinetic energy of water. One of the most common sources for flowing water is from the water tap. The electric power that could be produced from flowing water with a restriction that the water flow only affected by gravitational force and come from a finite resource. In this research, a mathematical model of electric energy or electric power are developed based on kinetic energy. The change of kinetic energy with time is electric power. The mathematical model is solved numerically to find power using the Euler method; therefore, this model is able to obtain power with changes in time. The result test show that the power greatly affected by the volume and height of water. The volume and height of water are decreasing over time and also the kinetic energy and power produced from water flowing out from the water tap reduced exponentially with respect to time.