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Design Innovation

Modeling of Pumping Performance of Labyrinth Screw Pump (LSP) by 2D Reynolds Stress Equations

[+] Author and Article Information
Runmei Ma1

Department of Mechanical and Electrical Engineering, Beijing University of Chemical Technology, Beijing 100029, Chinamarm@mail.buct.edu.cn

Kuisheng Wang

Department of Mechanical and Electrical Engineering, Beijing University of Chemical Technology, Beijing 100029, China

1

Corresponding author.

J. Fluids Eng 131(8), 085001 (Jul 15, 2009) (5 pages) doi:10.1115/1.3129128 History: Received March 19, 2008; Revised March 27, 2009; Published July 15, 2009

By using Prandtl’s mixing length theory to model two-dimensional Reynolds stress equations, the pumping performance of a labyrinth screw pump (LSP) is studied and several key parameters are empirically determined. As a result, two innovative concepts, a cell head coefficient Kf and a pump total head coefficient Kb, are proposed. A simple empirical equation quantifying the effects of the main geometric parameters of the threads on the pump performance is obtained and compared with Golubiev’s experimental results (1965, “Studies on Seal for Rotating Shafts of High-Pressure Pumps,” Wear, 8, pp. 270–288; 1981, Labyrinth-Screw Pumps and Seals for Corrosive Media, 2nd ed., Mashinostroenie, Moscow, pp. 34–49). Both theoretical study and Golubiev’s results indicate that with an increase in screw lead, Kf increases while Kb decreases. Kf is inversely proportional to power of screw-sleeve relative diametrical clearance, and the power exponent varies with different shapes of thread. Finally, Kf decreases with an increase in the relative depth of the thread groove over a wide range. Furthermore, some empirical relations between Kf and screw lead, the screw-sleeve relative diametrical clearance and the relative depth of thread groove are fitted, respectively, based on the derived relation between Kf and thread geometric parameters and Golubiev’s experimental data, which would provide a theoretical basis for LSP design.

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Copyright © 2009 by American Society of Mechanical Engineers
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References

Figures

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Figure 2

Geometry of LSP and coordinate system

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Figure 3

Variation of the cell head coefficient with thread angle: (a) for trapezoidal and semicircular thread and (b) for triangular thread

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Figure 4

Characteristics of triangular thread pumps with different thread lead (n=2900 rpm): (a) for ϕ 100 mm×80 mm×27(D×b×z1), L=150 mm; (b) for ϕ 100 mm×112 mm×27, L=150 mm; and (c) for ϕ 100 mm×160 mm×27, L=150 mm

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Figure 5

Variation of the relative cell head coefficient (Kf/Kf,0.1) with the relative diametrical clearance (2c/h) for LSP with different shape thread (Kf,0.1—the cell head coefficient at the relative diametrical clearance of 0.1)

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Figure 6

Variation of (a) Kf and (b) Kb with the relative depth of rectangular thread groove (n=2900 rpm): (a) for ϕ 80 mm×160 mm×z1, L=110 mm, z1=2, z1=4, z1=8, z1=16, and z1=32; (b) for ϕ 80 mm×160 mm×16, L=110 mm, h=1 mm, h=1.5 mm, h=2 mm, h=2.5 mm, h=3.3 mm, and h=4 mm; and (c) for ϕ 80 mm×160 mm×16, L=110 mm, tn=6.45 mm, and tn=7.45 mm.

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