In this paper, we investigate the real gas flows which occur within organic Rankine cycle (ORC) turbines. A new method for the design of nozzles operating with dense gases is discussed, and applied to the case of a high pressure ratio turbine vane. A Navier–Stokes method, which uses equations of states for a variety of working fluids typical of ORC turbines, is then applied to the turbine vanes to determine the vane performance. The results suggest that the choice of working fluid has a significant influence on the turbine efficiency.

References

References
1.
Thompson
,
P. A.
,
1971
, “
A Fundamental Derivative in Gas Dynamics
,”
Phys. Fluids
,
14
(
9
), pp.
1843
1849
.10.1063/1.1693693
2.
Colonna
,
P.
, and
Guardone
,
A.
,
2006
, “
Molecular Interpretation of Nonclassical Gas Dynamics of Dense Vapors Under the van der Waals Model
,”
Phys. Fluids
,
18
, p.
056101
.10.1063/1.2196095
3.
Cramer
,
M. S.
, and
Crickenberger
,
A. B.
,
1992
, “
Prandtl-Meyer Function for Dense Gases
,”
AIAA J.
,
30
, pp.
561
564
.10.2514/3.10956
4.
Guardone
,
A.
, and
Argrow
,
B. M.
,
2005
, “
Nonclassical Gasdynamic Region of Selected Fluorocarbons
,”
Phys. Fluids
,
17
, p.
116102
.10.1063/1.2131922
5.
Colonna
,
P.
,
Nannan
,
N. R.
,
Guardone
,
A.
, and
van der Stelt
,
T. P.
,
2010
, “
Erratum to: On the Computation of the Fundamental Derivative of Gas Dynamics Using Equations of State
,”
Fluid Phase Equilib.
,
288
, pp.
162
174
.10.1016/j.fluid.2009.11.003
6.
Chandrasekar
,
D.
, and
Prasad
,
P.
,
1991
, “
Transonic Flow of a Fluid With Positive and Negative Nonlinearity Through a Nozzle
,”
Phys. Fluids
,
3
(
3
), pp.
427
438
.10.1063/1.858099
7.
Zamfirescu
,
C.
, and
Dincer
, I
.
,
2001
, “
Performance Investigation of High-Temperature Heat Pumps With Various BZT Working Fluids
,”
Thermochim. Acta
,
488
, pp.
66
77
.10.1016/j.tca.2009.01.028
8.
Harinck
,
J.
,
Guardone
,
A.
, and
Colonna
,
P.
,
2009
, “
The Influence of Molecular Complexity on Expanding Flows of Ideal and Dense Gases
,”
Phys. Fluids
,
21
, p.
086101
.10.1063/1.3194308
9.
Harinck
,
J.
,
Turunen-Saaresti
,
T.
,
Colonna
,
P.
,
Rebay
,
S.
, and
van Buijtenen
,
J.
,
2010
, “
Computational Study of a High-Expansion Ratio Radial Organic Rankine Cycle Turbine Stator
,”
ASME J. Eng. Gas Turbines Power
,
132
, p.
054501
.10.1115/1.3204505
10.
Harinck
,
J.
,
Colonna
,
P.
,
Guardone
,
A.
, and
Rebay
,
S.
,
2010
, “
Influence of Thermodynamic Models in Two-Dimensional Flow Simulations of Turboexpanders
,”
ASME J. Turbomach.
,
132
, p.
011001
.10.1115/1.3192146
11.
Harinck
,
J.
,
Colonna
,
P.
,
Guardone
,
A.
, and
Rebay
,
S.
,
2002
, “
Numerical Simulation of Real-Gas Flow in a Supersonic Turbine Nozzle Ring
,”
ASME J. Eng. Gas Turbines Power
,
124
, pp.
395
403
.10.1115/1.1423320
12.
Colonna
,
P.
,
Harinck
,
J.
,
Rebay
,
S.
, and
Guardone
,
A.
,
2008
, “
Real-Gas Effects in Organic Rankine Cycle Turbine Nozzles
,”
J. Propul. Power
,
24
(
2
), pp.
282
294
.10.2514/1.29718
13.
Congedo
,
P. M.
,
2007
, “
Analysis and Optimization of Dense Gas Flows: Application to Organic Rankine Cycles Turbines
,” Ph.D. thesis, Universita’ del Salento, Lecce, Italy.
14.
Congedo
,
P.
,
Corre
,
C.
, and
Cinnella
,
P.
,
2011
, “
Numerical Investigation of Dense Gas Effects in Turbomachinery
,”
Comput. Fluids
,
49
, pp.
290
301
.10.1016/j.compfluid.2011.06.012
15.
Monaco
,
J. F.
,
Cramer
,
M. S.
, and
Watson
,
L. T.
,
1997
, “
Supersonic Flows of Dense Gases in Cascade Configurations
,”
J. Fluid Mech.
,
330
, pp.
31
59
.10.1017/S0022112096003564
16.
Angelino
,
G.
,
Macchi
,
E.
, and
Invernizzi
,
C.
,
1991
,
Organic Working Fluid Optimization for Space Power Cycles
,
Springer-Verlag
,
New York
.
17.
Rohlik
,
H. E.
, and
Kofskey
,
M. G.
,
1972
, “
Recent Radial Turbine Research at the NASA Lewis Research Center
,” NASA Technical Memorandum TM X-67903.
18.
Rohlik
,
H. E.
,
1968
, “
Analytical Determination of Radial Inflow Turbine Design Geometry for Maximum Efficiency
,” NASA Technical Note TN D-4384.
19.
Hung
,
T.
,
Wang
,
S.
,
Kuo
,
C.
,
Pei
,
B.
, and
Tsai
,
K.
,
2010
, “
A Study of Organic Working Fluids on System Efficiency of an ORC Using Low-Grade Energy Sources
,”
Energy
,
35
, pp.
1403
1411
.10.1016/j.energy.2009.11.025
20.
Saleh
,
B.
,
Koglbauer
,
G.
,
Wendland
,
M.
, and
Fischer
,
J.
,
2007
, “
Working Fluids for Low-Temperature Organic Rankine Cycles
,”
Energy
,
32
, pp.
1210
1221
.10.1016/j.energy.2006.07.001
21.
Yamamoto
,
T.
,
Furuhata
,
T.
,
Arai
,
N.
, and
Mori
,
K.
,
2001
, “
Design and Testing of the Organic Rankine Cycle
,”
Energy
,
26
, pp.
239
251
.10.1016/S0360-5442(00)00063-3
22.
Colonna
,
P.
,
Guardone
,
A.
, and
Nannan
,
N. R.
,
2007
, “
Siloxanes: A New Class of Candidate Bethe-Zel'dovich-Thompson Fluids
,”
Phys. Fluids
,
19
, p.
086102
.10.1063/1.2759533
23.
Denton
,
J. D.
, 2010,
TBLOCK 10.9 User Guide
.
24.
Lemmon
,
E. W.
,
Huber
,
M. L.
, and
McLinden
,
M. O.
,
2010
, “
NIST Standard Reference Database 23: Reference Fluid Thermodynamic and Transport Properties-REFPROP, Version 9.0
,” National Institute of Standards and Technology, Standard Reference Data Program, Gaithersburg, MD.
25.
Lemmon
,
E. W.
, and
Span
,
R.
,
2006
, “
Short Fundamental Equations of State for 20 Industrial Fluids
,”
J. Chem. Eng. Data
,
51
, pp.
785
850
.10.1021/je050186n
26.
Span
,
R.
, and
Wagner
,
W.
,
2003
, “
Equations of State for Technical Applications. II. Results for Nonpolar Fluids
,”
Int. J. Thermophys.
,
24
(
1
), pp.
41
109
.10.1023/A:1022310214958
27.
Cinnella
,
P.
, and
Congedo
,
P.
,
2007
, “
Inviscid and Viscous Aerodynamics of Dense Gases
,”
J. Fluid Mech.
,
580
, pp.
179
–217.10.1017/S0022112007005290
28.
Klein
,
A.
, and
Scholz
,
N.
, 1977, “
Aerodynamics of Cascades
,” Paper No. AGARD-AG-220.
29.
Aldo
,
A. C.
, and
Argrow
,
B. M.
,
1993
, “
Supersonic Minimum Length Nozzle Design for Dense Gases
,” NASA Lewis Research Center, The Fifth Annual Thermal and Fluids Analysis Workshop, Brook Park, OH, August 16–20, pp.
329
341
.
30.
Horton
,
H.
, 2011, private communication.
31.
Hall
, I
.M.
,
1962
, “
Transonic Flow in Two-Dimensional and Axi-Symmetric Nozzles
,”
Q. J. Appl. Mech.
,
15
, pp.
487
508
.10.1093/qjmam/15.4.487
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