Model for determining flow diameter and economic velocity in water elevating systems

Zocoler, João L.; Filho, Francisco C. Baggio; Oliveira, Luís A. F.; Hernandez, Fernando B. T.

doi:https://doi.org/10.1155/MPE/2006/17263

Mathematical Problems in Engineering

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Volume 2006 | Article ID 017263 | https://doi.org/10.1155/MPE/2006/17263

Model for determining flow diameter and economic velocity in water elevating systems

João L. Zocoler,¹Francisco C. Baggio Filho,²Luís A. F. Oliveira,³and Fernando B. T. Hernandez¹

Received28 Sept 2004

Revised13 Apr 2006

Accepted18 Apr 2006

Published29 Jun 2006

Abstract

The purpose of this paper was to develop a model for calculating the economical flow diameter and velocity, by obtaining the economical diameter, using Swamee's friction factor equation, by minimizing the total annual cost. The application of the model to a regular supply condition showed that the diameter of the actual condition, 250 mm, compared with the diameter calculated by the mode, at the same tariff as that applied to the property (ground), 284.1 mm, involved the necessity to generate, transmit, and distribute extra electrical energy, due to the higher load loss caused by the original diameter, approximately 30800 kWh/year. This means that in one year, the consumer would spend R$2,804.00 more on pumping cost alone.

References

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Copyright

Copyright © 2006 João L. Zocoler et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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