Abstract

In small Rankine cycle power plants, it is advantageous to use organic media as the working fluid. A low-cost single-stage turbine design together with the high molecular weight of the fluid leads to high Mach numbers in the turbine. Turbine efficiency can be improved significantly by using an iterative design procedure based on an accurate CFD simulation of the flow. For this purpose, an existing Navier-Stokes solver is tailored for real gas, because the expansion of an organic fluid cannot be described with ideal gas equations. The proposed simulation method is applied for the calculation of supersonic flow in a turbine stator. The main contribution of the paper is to demonstrate how a typical ideal-gas CFD code can be adapted for real gases in a very general, fast, and robust manner.

1.
Hornnes, A., and Bolland, O., 1991, “Power Cycle Working Fluids,” SINTEF Report STF15 A91041, Trondheim.
2.
Siikonen, T., and Pan, H., 1992, “Application of Roe’s Method for the Simulation of Viscous Flow in Turbomachinery,” Proceedings of the First European Computational Fluid Dynamics Conference, Ch. Hirsch et al., eds., Elsevier, New York, pp. 635–641.
3.
Pitka¨nen, H. P., 1997, “The CFD Analysis of the Impeller and Vaneless Diffuser of an Industrial Water-Treatment Compressor,” ASME International Mechanical Engineering Congress & Exposition, Dallas, TX, Nov. 16–21.
4.
Honkatukia, J., 1996, private communication.
5.
Larjola, J., and Nuutila, M., 1995, “District Heating Plant Converted to Produce Also Electric Power,” Paper 228 E, 27th Unichal Congress, Stockholm, June 12–14.
6.
Larjola
,
J.
,
1995
, “
Electricity from Industrial Waste Heat Using High-Speed Organic Rankine Cycle (ORC)
,”
Int. J. Production Economics
,
41
, pp.
227
235
.
7.
Balje, O. E., 1981, Turbomachines: A Guide to Design, Selection and Theory, John Wiley and Sons, New York.
8.
Glassman, A. J., ed., 1975, “Turbine Design and Application,” Vol. 3, NASA SP-290.
9.
Horlock, J. H., 1985, Axial Flow Turbines, R. E. Krieger, Malabar, FL.
10.
Verneau, A., 1987, “Supersonic Turbines for Organic Fluid Rankine Cycles from 3 to 1300 kW, Small High Pressure Ratio Turbines,” von Karman Institute for Fluid Dynamics, Lecture Series 1987-07.
11.
Talonpoika, T., 1994, “Modelling the Properties of Fluid in a Thermodynamic Cycle” (Termodynaamisen kiertoprosessin va¨liaineen aineominaisuuksien mallitus, in Finnish), Lappeenranta University of Technology, Research Report EN B-82, Lappeenranta.
12.
Edmister, W. C., and Lee, B. I., 1984, Applied Hydrocarbon Thermodynamics, Vol. 1, 2nd Ed., Gulf Publ Comp., Houston, TX.
13.
Goodwin
,
R. D.
,
1989
, “
Toluene Thermophysical Properties From 178 to 800 K at Pressures to 1000 Bar
,”
J. Phys. Chem. Ref. Data
,
18
, No.
4
, pp.
1565
1636
.
14.
ESDU, 1974, “Thermodynamic Properties of Toluene,” ESDU Engineering Sciences Data Item Number 74024, Engineering Sciences Data Unit Ltd., London.
15.
Siikonen
,
T.
,
1995
, “
An Application of Roe’s Flux-Difference Splitting for k-ε Turbulence Model
,”
Int. J. Numer. Methods Fluids
,
21
, pp.
1017
1039
.
16.
Roe
,
P. L.
,
1981
, “
Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes
,”
J. Comput. Phys.
,
43
, pp.
357
372
.
17.
Jameson
,
A.
, and
Yoon
,
S.
,
1986
, “
Multigrid Solution of the Euler Equations Using Implicit Schemes
,”
AIAA J.
,
24
, No.
11
, pp.
1737
1743
.
18.
Kahaner, D., Moler, C., and Nash, S., 1988, Numerical Methods and Software, Prentice- Hall, Englewood Cliffs, NJ.
19.
Hoffren, J., 1997, “Adaptation of FINFLO for Real Gases,” Helsinki University of Technology, Laboratory of Applied Thermodynamics, Report No. 102, Espoo.
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