Publication Cover
Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 72, 2017 - Issue 4
58
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Studying the effect of convergence parameter of CUSP’s scheme in 2D modeling of novel combination of two schemes in nucleating steam flow in cascade blades

&
Pages 325-347 | Received 10 Aug 2017, Accepted 26 Oct 2017, Published online: 17 Nov 2017

References

  • S. M. A. Noori Rahim Abadi, A. Ahmadpour, and J. P. Meyer, “CFD-based shape optimization of steam turbine blade cascade in transonic two phase flows,” Appl. Therm. Eng., vol. 112, pp. 1575–1589, 2017. DOI: 10.1016/j.applthermaleng.2016.10.058.
  • S. Jamali Keisari and M. Shams, “Shape optimization of nucleating wet-steam flow nozzle,” Appl. Therm. Eng., vol. 103, pp. 812–820, 2016. DOI: 10.1016/j.applthermaleng.2016.04.134.
  • P. De La Calzada, M. Valdes, and M. A. Burgos, “Heat transfer in separated flows on the pressure side of turbine blades,” Numer. Heat Transfer, Part A: Appl., vol. 60, no. 8, pp. 666–684, 2011. DOI: 10.1080/10407782.2011.616849.
  • F. Bakhtar, J. Young, A. White, and D. Simpson, “Classical nucleation theory and its application to condensing steam flow calculations,” Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci., vol. 219, no. 12, pp. 1315–1333, 2005. DOI: 10.1243/095440605x8379.
  • E. Yousefi Rad and M. R. Mahpeykar, “A novel hybrid approach for numerical modeling of the nucleating flow in Laval nozzle and transonic steam turbine blades,” Energies, vol. 10, no. 9, pp. 1285–1322, 2017. DOI: 10.3390/en10091285.
  • J. Halama, V. Hric, and M. Pátý, “Numerical solution of transonic flow of steam with non-equilibrium phase change using typical and simplified method,” Appl. Math. Comput., vol. 319, pp. 499–509, 2017. DOI: 10.1016/j.amc.2017.05.044.
  • Z. Han, X. Han, and Z. Wang, “Numeric simulation of wet-steam two-phase condensing flow in a steam turbine cascade,” J. Braz. Soc. Mech. Sci. Eng., vol. 39, no. 4, pp. 1189–1199, 2017. DOI: 10.1007/s40430-016-0655-y.
  • F. Bakhtar and M. Zamri, “On the performance of a cascade of improved nozzle blades in nucleating steam. Part 3: Theoretical analysis,” Mech. Eng. Sci., vol. 225, no. 7, pp. 1649–1671, 2011. DOI: 10.1177/0954406211400346.
  • F. Bakhtar, M. Zamri, and J. Rodriguez-Lelis, “A comparative study of treatment of two-dimensional two-phase flows of steam by a Runge–Kutta and by Denton’s methods,” Mech. Eng. Sci., vol. 221, no. 6, pp. 689–706, 2007. DOI: 10.1243/0954406JMES477.
  • Y. Yang, J. H. Walther, Y. Yan, and C. Wen, “CFD modeling of condensation process of water vapor in supersonic flows,” Appl. Therm. Eng., vol. 115, pp. 1357–1362, 2017. DOI: 10.1016/j.applthermaleng.2017.01.047.
  • J. Halama and V. Hric, “Numerical solution of steam flow in a nozzle using different non-equilibrium condensation models,” Appl. Math. Comput., vol. 272, no. 3, pp. 657–669, 2016. DOI: 10.1016/j.amc.2015.05.067.
  • H. Bagheri Esfe, M. J. Kermani, and M. Saffar Avval, “Effects of surface roughness on deviation angle and performance losses in wet steam turbines,” Appl. Therm. Eng., vol. 90, pp. 158–173, 2015. DOI: 10.1016/j.applthermaleng.2015.07.007.
  • K. Cui, Y. Song, H. Chen, and F. Chen, “Numerical method for non-equilibrium phase transition in low pressure stage of steam turbine,” J. Braz. Soc. Mech. Sci. Eng., vol. 38, no. 7, pp. 2149–2159, 2016. DOI: 10.1007/s40430-015-0452-z.
  • F. Bakhtar and M. Mahpeykar, “On The performance of a cascade of turbine rotor tip section blading in nucleating steam. Part 3: Theoretical treatment,” Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci., vol. 211, no. 3, pp. 195–210, 1997. DOI: 10.1243/0954406971521773.
  • E. Amiri Rad, M. R. Mahpeykar, and A. R. Teymourtash, “Analytic investigation of the effects of condensation shock on turbulent boundary layer parameters of nucleating flow in a supersonic convergent-divergent nozzle,” Sci. Iran., vol. 21, no. 5, pp. 1709–1718, 2014.
  • M. R. Mahpeykar, A. R. Teymourtash, and E. Lakzian, “The effects of viscosity on pressure distribution and droplet size in cascade of transonic steam turbine,” Iran. J. Mech. Eng. Trans., vol. 11, pp. 6–29, 2010. (In Persian).
  • J. Blazek, “Chapter 3—Principles of solution of the governing equations,” in Computational Fluid Dynamics: Principles and Applications, 3rd ed. Oxford: Butterworth-Heinemann, 2015, pp. 29–72. ISBN: 978–0-08–099995-1.
  • M. Hashemabadi and M. Hadidoolabi, “Implicit second-order CUSP gridless method for unsteady moving boundary simulations,” Comput. Math. Appl., vol. 74, no. 4, pp. 842–858, 2017. DOI: 10.1016/j.camwa.2017.05.027.
  • T.-H. Shieh, M.-R. Li, Y.-T. Li, and M.-C. Chen, “A comparative study of flux limiters using new numerical methods in unsteady supersonic flows,” Numer. Heat Transfer, Part B: Fundam., vol. 67, no. 2, pp. 135–160, 2015. DOI: 10.1080/10407790.2014.949578.
  • D. E. Folkner, Improvement in Computational Fluid Dynamics Through Boundary Verification and Preconditioning. Utah State University, 2013.
  • G.-C. Zha, Y. Shen, and B. Wang, “An improved low diffusion E-CUSP upwind scheme,” Comput. Fluids, vol. 48, no. 1, pp. 214–220, 2011. DOI: 10.1016/j.compfluid.2011.03.012.
  • E. Turkel, “Numerical methods and nature,” J. Sci. Comput., vol. 28, no. 2, pp. 549–570, 2006. DOI: 10.1007/s10915-006-9082-z.
  • J. Blazek, “Chapter 4—Structured finite-volume schemes,” in Computational Fluid Dynamics: Principles and Applications, 3rd ed. Oxford: Butterworth-Heinemann, 2015, pp. 73–120. ISBN: 978–0-08–099995-1.
  • A. Kundu and S. De, “Application of compact schemes in the CUSP framework for strong shock–vortex interaction,” Comput. Fluids, vol. 126, pp. 192–204, 2016. DOI: 10.1016/j.compfluid.2015.11.018.
  • F. Bakhtar, S. Y. Rassam, and G. Zhang, “On the performance of a cascade of turbine rotor tip section blading in wet steam—Part 4: Droplet measurements,” Mech. Eng. Sci., vol. 213, no. 4, pp. 343–353, 1999. DOI: 10.1243/0954406991522301.
  • F. Bakhtar and R. Mohsin, “A study of the throughflow of nucleating steam in a turbine stage by a time-marching method,” Mech. Eng. Sci., vol. 228, no. 5, pp. 932–949, 2014. DOI: 10.1177/0954406213490873.
  • F. Bakhtar, Z. Mamat, and O. Jadayel, “On the performance of a cascade of improved nozzle blades in nucleating steam. Part 2: Wake traverses,” Mech. Eng. Sci., vol. 223, no. 8, pp. 1915–1929, 2009. DOI: 10.1243/09544062JMES1256.
  • F. Bakhtar, Z. Mamat, and O. Jadayel, “On the performance of a cascade of improved turbine nozzle blades in nucleating steam. Part 1: Surface pressure distributions,” Mech. Eng. Sci., vol. 223, no. 8, pp. 1903–1914, 2009. DOI: 10.1243/09544062JMES1255.
  • M. R. Mahpeykar and A. R. Teymourtash, “A blade-to-blade inviscid transonic flow analysis of nucleating steam in a turbine cascade by the Jameson’s time-marching scheme using body fitted grid,” J. Eng., Ferdowsi Univ. Mashhad, vol. 18, no. 1, pp. 1–20, 2006. (In Persian).
  • F. Bakhtar and M. Piran, “Thermodynamic properties of supercooled steam,” Int. J. Heat Fluid Flow, vol. 1, no. 2, pp. 53–62, 1979. DOI: 10.1016/0142-727X(79)90011-0.
  • F. Bakhtar, M. Mahpeykar, and K. Abbas, “An investigation of nucleating flows of steam in a cascade of turbine blading-theoretical treatment,” J. Fluids Eng., vol. 117, no. 1, pp. 138–144, 1995. DOI: 10.1115/1.2816803.
  • E. Amiri Rad, M. R. Mahpeykar, and A. R. Teymourtash, “Evaluation of simultaneous effects of inlet stagnation pressure and heat transfer on condensing water-vapor flow in a supersonic Laval nozzle,” Sci. Iran., vol. 20, no. 1, pp. 141–151, 2013. DOI: 10.1016/j.scient.2012.12.009.
  • J. H. Keenan, P. G. Hill, and F. G. Keyes, Steam Tables: Thermodynamic Properties of Water Including Vapor, Liquid, And Solid Phases (International System of Units S. I.). London, UK: Krieger Publishing Company, 1992. ISBN: 0894646850.
  • F. Bakhtar and M. T. Mohammadi Tochai, “An investigation of two-dimensional flows of nucleating and wet steam by the time-marching method,” Int. J. Heat Fluid Flow, vol. 2, no. 1, pp. 5–18, 1980. DOI: 10.1016/0142-727X(80)90003-X.
  • E. Yousefi Rad and M. R. Mahpeykar, “Modeling of 2D two-phase flow in cascade blades of steam turbine using Jameson’s finite volume method with CUSP technique,” Modares Mech. Eng., vol. 15, no. 4, pp. 141–150, 2015. (In Persian).
  • D. S. Balsara, G. I. Montecinos, and E. F. Toro, “Exploring various flux vector splitting for the magnetohydrodynamic system,” J. Comput. Phys., vol. 311, pp. 1–21, 2016. DOI: 10.1016/j.jcp.2016.01.029.
  • D. Folkner, A. Katz, and V. Sankaran, “An unsteady preconditioning scheme based on convective-upwind split-pressure artificial dissipation,” Int. J. Numer. Methods Fluids, vol. 78, no. 1, pp. 1–16, 2015. DOI: 10.1002/fld.4003.
  • E. F. Toro, Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction, 3rd ed. Berlin, Germany: Springer Science & Business Media, 2009. ISBN: 978–3-540–49834-6.
  • E. Yousefi Rad, M. R. Mahpeykar, and A. Teymourtash, “Optimization of CUSP technique using inverse modeling for improvement of Jameson’s 2D finite volume method,” Modares Mech. Eng., vol. 14, no. 8, pp. 174–182, 2014. (In Persian).
  • E. Yousefi Rad and M. R. Mahpeykar, “Using inverse methods for the numerical integration of two-dimensional, finite volume and finite difference between fixed-blade turbine,” Iran. J. Mech. Eng. Trans. ISME, vol. 12, pp. 7–25, 2011. (In Persian).

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.