Aplicação de modelagem matemática para estudos de projeção no crescimento de consumo de água: estudo de caso UTFPR - Campus Londrina

Abstract

This paper aims to use mathematical modeling methods for performing a short-term projection, considering the study of water consumption and growth in the number of students at the Federal Technological University of Paraná campus Londrina (UTFPR- LD) in order to make reuse proposals and rational use of water as reaproveito intra-sanitary water, direct reuse in urinals, decreased pressure distribution, changes in conventional taps for taps with sensors and readequamento of funding facilities water. To perform the modeling were used three methods of modeling, form of Lagrange, Newton and Newton-Gregory through the Modeling Software Maple 12 and also Microsoft Excel Software 2013.O water consumption profile on the university campus is very diverse, ie, has the characteristics of common use and for personal hygiene, drinking fountains, sanitary appliances, cooking, cleaning the rooms and blocks, but there are also more specific uses such as in the hydraulic laboratories, greenhouses, utensils cleaning of microbiology laboratories and other equipments. This research analyzes the growth of water consumption in the Campus UTFPR-LD, during periods of the years 2010 and 2014, conducting a study relating the six-month increase in the number of students in undergraduate and thus impossible to quantify water consumption at the University. Through the data obtained it was possible to measure the increase in water consumption. In 2010 the average annual consumption is approximately 247 cubic meters, but already in 2014 is average increases to nearly 421 cubic meters, which represents an increase of more than 70% of the consumed volume in just 4 years, resulting in an annual increase of approximately 17.5% consumption.