0
Research Papers: Gas Turbines: Structures and Dynamics

# Characterization of Limacon Gas Expanders With Consideration to the Dynamics of Apex Seals and Inlet Control Valve

[+] Author and Article Information
Truong H. Phung

Faculty of Science and Technology,
School of Engineering,
Federation University Australia,
University Drive,
Mount Helen 3350, Victoria, Australia
e-mail: t.phung@federation.edu.au

Ibrahim A. Sultan

Faculty of Science and Technology,
School of Engineering,
Federation University Australia,
University Drive,
Mount Helen 3350, Victoria, Australia
e-mail: i.sultan@federation.edu.au

Contributed by the Structures and Dynamics Committee of ASME for publication in the JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER. Manuscript received January 3, 2018; final manuscript received May 16, 2018; published online August 6, 2018. Editor: David Wisler.

J. Eng. Gas Turbines Power 140(12), 122501 (Aug 06, 2018) (11 pages) Paper No: GTP-18-1005; doi: 10.1115/1.4040418 History: Received January 03, 2018; Revised May 16, 2018

## Abstract

Limaçon machine, of which the relative motion between the rotor and housing follows the limaçon curve, belongs to a class of rotary positive displacement machines. The profiles of rotors and housings of those machines can be constructed of either limaçon or circular curves, hence the names: limaçon-to-limaçon, circolimaçon, and limaçon-to-circular machines. This paper presents the investigation into the thermodynamic performance of the limaçon-to-circular machines with the presence of apex seals and inlet valve. This paper sets out by briefly introducing the limaçon technology and the construction of the limaçon-to-circular machine working volume. The mathematical descriptions of ports' positions and areas have also been introduced. The paper then discusses the flow and phase composition of working fluid through the working chambers as well as how the fluid velocity is modeled and calculated. Then the seal dynamic model and response of inlet valve are presented followed by the machine thermodynamic model. A case study has also been presented to show the responses of seals and inlet valve during the machine operation.

<>

## References

International Energy Agency, 2015, Key World Energy Statistics, OECD/International Energy Agency, Paris, France.
IPCC, 2015, “Climate Change 2014—Synthesis Report,” Intergovernmental Panel on Climate Change, Geneva, Switzerland, accessed June 6, 2018,
Mathias, J. , Johnston, J. , Cao, J. , Priedeman, D. , and Christensen, R. , 2009, “Experimental Testing of Gerotor and Scroll Expanders Used in, and Energetic and Exergetic Modeling of, an Organic Rankine Cycle,” ASME J. Energy Resour. Technol., 131(1), p. 012201.
Lemort, V. , Quoilin, S. , Cuevas, C. , and Lebrun, J. , 2009, “Testing and Modeling a Scroll Expander Integrated Into an Organic Rankine Cycle,” Appl. Therm. Eng., 29(14–15), pp. 3094–3102.
Sultan, I. , and Schaller, C. , 2011, “Optimum Positioning of Ports in the Limaçon Gas Expanders,” ASME J. Eng. Gas Turbines Power, 133((10), p. 103002.
Sultan, I. , 2012, “Optimum Design of Limaçon Gas Expanders Based on Thermodynamic Performance,” Appl. Therm. Eng., 39, pp. 188–197.
Phung, T. H. , Sultan, I. A. , and Boretti, A. , 2016, “Design of Limaçon Gas Expanders,” Nonlinear Approaches in Engineering Applications, R. N. Jazar , and L. Dai , eds., Springer International Publishing, Cham, Switzerland, pp. 91–120.
McNeil, D. , 2000, “Two-Phase Flow in Orifice Plates and Valves,” Proc. Inst. Mech. Eng., Part C, 214(5), pp. 743–756.
Fairhurst, C. , 1983, “Component Pressure Loss During Two-Phase Flow,” International Conference on the Physical Modelling of Multi-Phase Flow, Coventry, UK, Apr., pp. 1–24.
Massoud, M. , 2005, Engineering Thermofluids - Thermodynamics, Fluid Mechanics and Heat Transfer, Springer, Berlin.
Munson, B. , Okiishi, T. , Huebsch, W. , and Rothmayer, A. , 2013, Fundamentals of Fluid Mechanics, Wiley, Hoboken, NJ.
Ryley, D. , 1964, “Property Definition in Equilibrium Wet Steam,” Int. J. Mech. Sci., 6(6), pp. 445–454.
Lemmon, E. W. , Huber, M. L. , and McLinden, M. O. , 2010, “NIST Reference Fluid Thermodynamic and Transport Properties—REFPROP Version 9.0,” National Institute of Standards and Technology, Gaithersburg, MD.
Lund, H. , and Flatten, T. , 2010, “Equilibrium Conditions and Sound Velocities in Two-Phase Flows,” SIAM Annual Meeting (AN10), Pittsburgh, PA, July 12–16.
Yuan, Q. , and Li, P. Y. , 2004, “Self-Calibration of Push-Pull Solenoid Actuators in Electrohydraulic Valves,” ASME Paper No. IMECE2004-62109.
Tuymer, W. J. , and Machu, E. H. , 2001, “Compressor Valves,” Compressor Handbook, P. C. Hanlon , ed., McGraw-Hill, New York, pp. 20.1–20.29.
Sultan, I. , 2005, “The Limaçon of Pascal: Mechanical Generation and Utilization for Fluid Processing,” Proc. Inst. Mech. Eng., Part C, 219(8), pp. 813–822.

## Figures

Fig. 1

A limaçon-to-circular expander

Fig. 2

The limaçon-to-circular port area

Fig. 3

Kinematics of apex seal

Fig. 4

Seal dynamics—the elastic contact approach

Fig. 5

Design of an inlet valve

Fig. 6

Solenoid control voltage

Fig. 7

Chamber pressure and temperature against crank angle

Fig. 8

Limaçon machine pressure-volume diagram

Fig. 9

The effect of antechamber volume to the working chamber pressure at various rpm

Fig. 10

Valve opening against rotor angle at various rpm and V3

Fig. 11

Solenoid currents at one particular rpm

Fig. 12:

Seal displacements and seal-housing force at 800 rpm and V3=2.85Vmax

Fig. 13

Seal displacements and seal-housing force at 1800 rpm and V3=2.85Vmax

Fig. 14

Limaçon machine overall efficiencies at different rpm and V3

## Errata

Some tools below are only available to our subscribers or users with an online account.

### Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related Proceedings Articles
Related eBook Content
Topic Collections