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research-article

Analytical Evaluation of Head and Flow Rate Off-design Characteristics for Pump as Turbine Application

[+] Author and Article Information
Ombeni John Mdee

Department of Mechanical and Industrial Engineering, University of Dar es Salaam, P.O. Box 35131, Dar es Salaam, Tanzania
ombenijohn@gmail.com

Cuthbert Z. Kimambo

Department of Mechanical and Industrial Engineering, University of Dar es Salaam, P.O. Box 35131, Dar es Salaam, Tanzania
kimambo@udsm.ac.tz

Torbj⊘rn K. Nielsen

Department of Energy and Process Engineering, Norwegian University of Science and Technology, NO-7491 Trondheim, Norway
torbjorn.nielsen@ntnu.no

Joseph Kihedu

Department of Mechanical and Industrial Engineering, University of Dar es Salaam, P.O. Box 35131, Dar es Salaam, Tanzania
kihedu@udsm.ac.tz

1Corresponding author.

ASME doi:10.1115/1.4041561 History: Received October 04, 2017; Revised September 22, 2018

Abstract

Head and flow rate are the important parameters for proper selection of centrifugal pump. However, the reversed operation of centrifugal pump leads to the off-design characteristic of head and flow rate. This paper presents an analytical model developed by using the system curves and velocity relations derived from pump application. Also, the differential technique applied to the analytical model to develop the off-design characteristics of head ratio and flow rate ratio relations. The off-design characteristic relations were compared with literature and available conversion methods. Then, the analytical model coefficient with the range between -4 and +4 was developed from the off-design characteristics of head ratio and flow rate ratio relations. The analytical model coefficient value was equal to 1 when the pump operates in turbine mode and pump mode at the pump best efficiency point and extended to either side up to ±4 when tested with literature data. Therefore, the analytical model consists of the off-design head and flow rate characteristics, when simplified leading to the analytical model coefficient that could be applied to select the possible boundary limits of head and flow rate for different pumps.

Copyright (c) 2018 by ASME
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