Research Papers: Fundamental Issues and Canonical Flows

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
e-mail: 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
e-mail: kimambo@udsm.ac.tz

Torbjorn K. Nielsen

Department of Energy and Process Engineering,
Norwegian University of Science and
Trondheim NO-7491, Norway
e-mail: 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
e-mail: kihedu@udsm.ac.tz

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received October 4, 2017; final manuscript received September 22, 2018; published online November 13, 2018. Assoc. Editor: Praveen Ramaprabhu.

J. Fluids Eng 141(5), 051203 (Nov 13, 2018) (8 pages) Paper No: FE-17-1636; doi: 10.1115/1.4041561 History: Received October 04, 2017; Revised September 22, 2018

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 is 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 (AMC) with the range between −4 and +4 was developed from the off-design characteristics of head ratio and flow rate ratio relations. The AMC value was equal to 1 when the pump operates in turbine mode and pump mode at the pump best efficiency point (BEP) 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 AMC that could be applied to select the possible boundary limits of head and flow rate for different pumps.

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Grahic Jump Location
Fig. 1

The head ratio and flow rate ratio versus specific speed when pump operated in turbine mode and pump mode

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Fig. 2

Schematic diagram of system and performance curves for pump operated in turbine mode and pump mode

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Fig. 3

Schematic diagram of head versus flow rate showing the prediction error with the ellipse and circle shapes for pump operated in turbine mode

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Fig. 4

Water energy conversion diagram from the forebay to tailrace

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Fig. 5

Variation of analytical head ratio and flow rate ratio relations versus the global pump efficiency

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Fig. 6

Variation of conversion methods in terms of head ratio versus pump efficiency

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Fig. 7

Variation of conversion methods in terms of flow rate ratio versus pump efficiency

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Fig. 8

Comparison of conversion methods and analytical model relation to the symmetrical line, h = q

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Fig. 9

Analytical relation compared with conversion methods related to head ratio

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Fig. 10

Analytical model relation compared with conversion methods related to flow rate ratio

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Fig. 11

Analytical model coefficients with the positive and negative signs in the analytical model relation versus pump specific speed



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