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Research Papers: Power Engineering

Optimum Positioning of Ports in the Limaçon Gas Expanders

[+] Author and Article Information
Ibrahim A. Sultan

School of Science and Engineering, The University of Ballarat, P.O. Box 663, Ballarat 3353, Victoria, Australiai.sultan@ballarat.edu.au

Carl G. Schaller

School of Science and Engineering, The University of Ballarat, P.O. Box 663, Ballarat 3353, Victoria, Australia

J. Eng. Gas Turbines Power 133(10), 103002 (May 03, 2011) (11 pages) doi:10.1115/1.4003195 History: Received August 29, 2010; Revised November 22, 2010; Published May 03, 2011; Online May 03, 2011

Positive displacement expanders are quickly gaining popularity in the fields of micropower generation and refrigeration engineering. Unlike turbomachines, expanders can handle two-phase flow applications at low speed and flow rate levels. This paper is concerned with a simple-design positive displacement expander based on the limaçon of Pascal. The paper offers an insight into the thermodynamic workings of the limaçon gas expander and presents a mathematical model to describe the manner in which the port locations affect the expander performance. A stochastic optimization technique is adopted to find the locations, for the expander ports, which produce best expander performance for given chamber dimensions. The operating speed and other parameters will be held constant during the optimization procedure. A case study is offered in this paper to prove the validity of the presented approach, and comments are given on how various operating parameters affect system performance in the limaçon design.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 6

Chamber mass during one cycle

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Figure 7

Chamber pressure during one cycle

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Figure 8

PV-diagram for the limaçon expander

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Figure 9

Shaft torque during one cycle

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Figure 13

Effect of speed on the isentropic efficiency

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Figure 12

Effect of pressure ratio on the isentropic efficiency at 18 bar inlet pressure

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Figure 11

Effect of pressure ratio on the isentropic efficiency at 8 bar inlet pressure

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Figure 10

Effect of speed on the filling factor

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Figure 5

Variation of filling factor during iterations

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Figure 4

Variation of isentropic efficiency during iterations

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Figure 3

Flowchart of computational procedure

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Figure 2

Port geometric particulars

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Figure 1

A limaçon positive displacement expander

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