Influence of thermodynamic models in two-dimensional flow simulations of turboexpanders

Journal of Turbomachinery

Volumn 132, Issue 1, 2010, Pages

  Harinck, John ^a   Colonna, P ^a   Guardone, A ^b   Rebay, S ^c  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b POLITECNICO DI MILANO   (Italy)

^c UNIVERSITY OF BRESCIA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

2D FLOW; COMPLEX FLUIDS; COMPRESSIBILITY FACTOR; COMPUTATIONAL COSTS; COMPUTATIONAL FLUID; CUBIC EQUATION OF STATE; DEGREES OF COMPLEXITY; DYNAMIC SIMULATION; DYNAMIC SOLVERS; FLOW PARAMETERS; FLUID PROPERTY; ISENTROPIC EXPANSION; LARGE DEVIATIONS; LOW-COMPLEXITY; MASS FLOW RATE; MULTIPARAMETER EQUATIONS; NONIDEAL; PENG-ROBINSON; PIG MODEL; PRESSURE RATIO; QUANTITATIVE COMPARISON; REAL-GAS; SOUND SPEED; SPEED OF SOUNDS; SUPER-CRITICAL; THERMODYNAMIC MODEL; TOTAL-PRESSURE LOSS; TRANSONIC TURBINE; TWO-DIMENSIONAL FLOW;

COMPUTATIONAL FLUID DYNAMICS; COSTS; EQUATIONS OF STATE OF GASES; EXPANSION; FLUIDS; MACH NUMBER; THERMODYNAMIC PROPERTIES; TOLUENE; TURBINES; TURBOEXPANDERS;

COMPUTER SIMULATION;

EID: 77955234399     PISSN: 0889504X     EISSN: 15288900     Source Type: Journal    
DOI: 10.1115/1.3192146     Document Type: Article

References (61)

1. Curran, H., 1981, "Use of Organic Working Fluids in Rankine Engines," J. Energy, 5(4), pp. 218-223.
2. Angelino, G., Gaia, M., and Macchi, E., 1984, "A Review of Italian Activity in the Field of Organic Rankine Cycles," VDI Berichte-Proceedings of the International VDI Seminar, VDI, Zurich, Vol. 539, pp. 465-482.
3. Obernberger, I., Thonhofer, P., and Reisenhofer, E., 2002, "Description and Evaluation of the New 1000 kW ORC Process Integrated in the Biomass CHP Plant in Lienz, Austria," Euroheat and Power, 31(10), pp. 18-25.
4. Brasz, J. J., and Biederman, B. P., 2003, "Low Temperature Waste Heat Power Recovery Using Refrigeration Equipment," 21st International Congress of Refrigeration 2003, Washington, DC, Paper No. ICR0587.
5. Bloch, H., and Soares, C., 2001, Turboexpanders and Process Applications, Gulf Professional, Houston, TX.
6. Hoffren, J., Talonpoika, T., Larjola, J., and Siikonen, T., 2002, "Numerical Simulation of Real-Gas Flow in a Supersonic Turbine Nozzle Ring," ASME J. Eng. Gas Turbines Power, 124(2), pp. 395-403.
7. Van Buijtenen, J. P., Larjola, J., Turunen-Saaresti, T., Honkatukia, J., Esa, H., Backman, J., and Reunanen, A., 2003, "Design and Validation of a New High Expansion Ratio Radial Turbine for ORC Applications," Proceedings of the Fifth European Conference on Turbomachinery, pp. 1-14.
8. Goodwin, R., 1989, "Toluene Thermophysical Properties From 178 to 800 K at Pressures to 1000 bar," J. Phys. Chem. Ref. Data, 18(4), pp. 1565-1636.
9. Harinck, J., Turunen-Saaresti, T., and Colonna, P., 2007, "Predictions of Performance and Flow Fields of a High-Expansion-Ratio Radial ORC Turbine," Department of Process and Energy, Delft University of Technology, Technical Report No. ET-2262.
10. Lemmon, E., and Span, R., 2006, "Short Fundamental Equations of State for 20 Industrial Fluids," J. Chem. Eng. Data, 51(3), pp. 785-850.
11. Bober, W., and Chow, W. L., 1990, "Nonideal Isentropic Gas Flow Through Converging-Diverging Nozzles," ASME J. Fluids Eng., 112, pp. 455-460.
12. Anders, J. B., Anderson, W. K., and Murthy, A. V., 1999, "Transonic Similarity Theory Applied to a Supercritical Airfoil in Heavy Gases," J. Aircr., 36(6). pp. 957-964.
13. Drikakis, D., and Tsangaris, S., 1993, "Real Gas Effects for Compressible Nozzle Flows," ASME J. Fluids Eng., 115, pp. 115-120.
14. Wagner, B., and Schmidt, W., 1978, "Theoretical Investigation of Real Gas Effects in Cryogenic Wind Tunnels," AIAA J., 16(6), pp. 580-586.
15. Anderson, W. K., 1991, "Numerical Study of the Aerodynamic Effects of Using Sulfur Hexafluoride as a Test Gas in Wind Tunnels," NASA Technical Paper No. 3086.
16. Colonna, P., and Rebay, S., 2004, "Numerical Simulation of Dense Gas Flows on Unstructured Grids With an Implicit High Resolution Upwind Euler Solver," Int. J. Numer. Methods Fluids, 46, pp. 735-765.
17. Cinnella, P., and Congedo, P., 2004, "A Numerical Solver for Dense Gas Flows," Fourth AIAA Fluid Dynamics Conference and Exhibit, AIAA Paper No. 2004-2137, pp. 1-12.
18. Cinnella, P., and Congedo, P., 2007, "Inviscid and Viscous Aerodynamics of Dense Gases," J. Fluid Mech., 580, pp. 179-217.
19. Cravero, C., and Satta, A., 2000, "A CFD Model for Real Gas Flows," ASME Paper No. 2000-GT-518.
20. Boncinelli, P., Rubechini, F., Arnone, A., Cecconi, M., and Cortese, C., 2004, "Real Gas Effects in Turbomachinery Flows-A Computational Fluid Dynamics Model for Fast Computations," ASME J. Turbomach., 126, pp. 268-276.
21. Cirri, M., Adami, P., and Martelli, F., 2005, "Development of a CFD Real Gas Flow Solver for Hybrid Grid," Int. J. Numer. Methods Fluids, 47(8-9), pp. 931-938.
22. Patek, J., 1996, "Functional Forms to Describe Thermodynamic Properties of Gases for Fast Calculations," ASME J. Eng. Gas Turbines Power, 118, pp. 210-213.
23. Turunen-Saaresti, T., Tang, J., and Larjola, J., 2006, "A Practical Real Gas Model in CFD," European Conference on Computational Fluid Dynamics (ECCOMAS CFD 2006), P. Wesseling, E. Onate, and J. Périau, eds.
24. Van der Waals, J., 1873, "On the Continuity of the Gas and Liquid State," Ph.D. thesis, University of Leiden, Leiden, The Netherlands.
25. Aldo, A. C., and Argrow, B. M., 1995, "Dense Gas Flows in Minimum Length Nozzles," ASME J. Fluids Eng., 117, pp. 270-276.
26. Peng, D. Y., and Robinson, D. B., 1976, "A New Two-Constant Equation of State," Ind. Eng. Chem. Fundam., 15, pp. 59-64.
27. Stryjek, R., and Vera, J. H., 1986, "PRSV: An Improved Peng-Robinson Equation of State for Pure Compounds and Mixtures," Can. J. Chem. Eng., 64, pp. 323-333.
28. Kim, H., Lee, J., Park, K., Setoguchi, T., and Matsuo, S., 2007, "A Study of the Critical Nozzle for Flow Rate Measurement of High-Pressure Hydrogen Gas," J. Therm. Sci., 16(1), pp. 28-32.
29. Span, R., 2000, Multiparameter Equations of State-An Accurate Source of Thermodynamic Property Data, Springer-Verlag, Berlin.
30. Span, R., Wagner, W., Lemmon, E. W., and Jacbosen, R. T., 2001, "Multiparameter Equations of State-Recent Trends and Future Challenges," Fluid Phase Equilib., 183-184, pp. 1-20.
31. Wagner, W., and Pruß, A., 2002, "The IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use," J. Phys. Chem. Ref. Data, 31(2), pp. 387-535.
32. Colonna, P., and Silva, P., 2003, "Dense Gas Thermodynamic Properties of Single and Multicomponent Fluids for Fluid Dynamics Simulations," ASME J. Fluids Eng., 125, pp. 414-427.
33. Colonna, P., Guardone, A., Harinck, J., and Rebay, S., 2006, "Numerical Investigation of Dense Gas Effects in Turbine Cascades," 15th U.S. National Congress on Theoretical and Applied Mechanics Conference, Boulder, CO.
34. Colonna, P., Rebay, S., Harinck, J., and Guardone, A., 2006, "Real-Gas Effects in ORC Turbine Flow Simulations: Influence of Thermodynamic Models on Flow Fields and Performance Parameters," ECCOMAS CFD 2006 Conference, Egmond Aan Zee, North Holland.
35. 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.
36. Colonna, P., and Van der Stelt, T., 2005, "FLUIDPROP: A Program for the Estimation of Thermophysical Properties of Fluids," Energy Technology Section, Delft University of Technology, The Netherlands, www.fluidprop.com
37. Selmin, V., 1993, "The Node-Centered Finite Volume Approach: Bridge Between Finite Differences and Finite Elements," Comput. Methods Appl. Mech. Eng., 102(1), pp. 107-138.
38. Roe, P. L., 1981, "Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes," J. Comput. Phys., 43(2), pp. 357-372.
39. Vinokur, M., and Montagné, J. L., 1990, "Generalized Flux-Vector Splitting and Roe Average for an Equilibrium Real Gas," J. Comput. Phys., 89(2), pp. 276-300.
40. Lemmon, E. W., McLinden, M. O., and Huber, M. L., 2002, REFPROP, Reference Fluid Properties Software, NIST.
41. Reynolds, W. C., 1979, Thermodynamic Properties in S.I., Stanford University, Stanford, CA.
42. Martin, J. J., and Hou, Y. C., 1955, "Development of an Equation of State for Gases," AIChE J., 1(2), pp. 142-151.
43. 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.
44. Span, R., and Wagner, W., 2003, "Equations of State for Technical Applications. I. Simultaneously Optimized Functional Forms for Nonpolar and Polar Fluids," Int. J. Thermophys., 24(1), pp. 1-39.
45. Starling, K. E., 1973, Equation of State and Computer Prediction-Fluid Thermodynamic Properties for Light Petroleum Substances, Gulf, Huston, TX.
46. Wong, D. S. H., and Sandler, S. I., 1992, "A Theoretically Correct Mixing Rule for Cubic Equations of State," AIChE J., 38, pp. 671-680.
47. Wong, D. S. H., Sandler, S. I., and Orbey, H., 1992, "Equation of State Mixing Rule for Nonideal Mixtures Using Available Activity Coefficient Model Parameters and That Allows Extrapolation Over Large Ranges of Temperature and Pressure," Ind. Eng. Chem. Res., 31, pp. 2033-2039.
48. Angelino, G., and Colonna, P., 1998, "Multicomponent Working Fluids for Organic Rankine Cycles (ORCs)," Energy, 23(6), pp. 449-463.
49. Poling, B. E., Prausnitz, J. M., and O'Connell, J. P., 2001, The Properties of Gases and Liquids (Chemical Engineering Series), 5th ed., McGraw-Hill, New York.
50. Arts, T., Lambert de Rouvroit, M., and Rutherford, A. W., 1990, "Aero-Thermal Investigation of a Highly Loaded Transonic Linear Turbine Guide Vane Cascade," Von Karman Institute for Fluid Dynamics, Technical Note 174.
51. Lemmon, E. W., Jacobsen, R. T., Penoncello, S. G., and Friend, D., 2000, "Thermodynamic Properties of Air and Mixtures of Nitrogen, Argon, and Oxygen From 60 to 2000 K at Pressures to 2000 MPa," J. Phys. Chem. Ref. Data, 29(3), pp. 331-385.
52. Guardone, A., and Rebay, S., 2006, "Unstructured Periodic Grid Generation," Proceedings of the ECCOMAS CFD 2006 Conference.
53. Rebay, S., 1993, "Efficient Unstructured Mesh Generation by Means of Delaunay Triangulation and Bowyer-Watson Algorithm," J. Comput. Phys., 106(1), pp. 125-138.
54. Northall, J. D., 2006, "The Influence of Variable Gas Properties on Turboma-chinery Computational Fluid Dynamics," ASME J. Turbomach., 128, pp. 632-638.
55. Rubechini, F., Marconcini, M., Arnone, A., Maritano, M., and Cecchi, S., 2006, "The Impact of Gas Modeling in the Numerical Analysis of a Multistage Gasturbine," ASME Paper No. GT 2006-90129.
56. Abbott, M. M., 1973, "Cubic Equations of State," AIChE J., 19, pp. 596-601.
57. Colonna, P., and Guardone, A., 2006, "Molecular Interpretation of Nonclassical Gasdynamics of Dense Vapors Under the van der Waals Model," Phys. Fluids, 18(5), p. 056101.
58. 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.
59. Brown, B. P., and Argrow, B. M., 2000, "Application of Bethe-Zel'dovich-Thompson Fluids in Organic Rankine Cycle Engines," J. Propul. Power, 16(6), pp. 1118-1123.
60. Colonna, P., Nannan, N., Guardone, A., and Stelt van der, T. P., 2009, "On the Computation of the Fundamental Derivative of Gas Dynamics Gamma, Using Equations of State," Fluid Phase Equilib., in press.
61. Augnier, R., 2006, Turbine Aerodynamics: Axial-Flow and Radial-Inflow Turbine Design and Analysis, ASME, New York.