Inverse Design of a Centrifugal Pump on the Meridional Plane Using Ball-Spine Algorithm

Document Type : Article

Authors

1 Department of Mechanical Engineering, University of Tabriz, P.O. Box 51666-14766, Tabriz, Iran.

2 Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, Iran.

Abstract

In this work, an inverse design algorithm called Ball-Spine (BSA) is developed as a quasi-3D method and applied to the meridional plane of a centrifugal pump impeller in an effort to improve its performance. In this method, numerical analyses of viscous flow field in the passage between two blades are coupled with BSA to modify the corresponding hub and shroud geometries. Here, full 3D Navier-Stokes equations are solved within a thin plane of flow instead of solving inviscid, quasi-3D flow equations in the meridional plane. To demonstrate the validity of the present work, the performance of a centrifugal pump is first numerically investigated, and then compared against available experimental data. Defining a target pressure distribution on the hub and shroud surfaces of the flow passage, a new impeller geometry is then obtained in accordance with the modified pressure distribution. The results indicate a good rate of convergence and desirable stability of BSA in the design of rotating flow passages. Overall, the proposed design method resulted in the following major improvements: an increase in static pressure along the streamline, 5% of increase in the pump total head and delay in the onset of flow cavitation inside the impeller.

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1. Dang, T. and Isgro, V. Euler-based inverse method for turbomachine blades. I-Two-dimensional cascades", AIAA Journal, 33(12), pp. 2309{2315 (1995). 2. Dang, T., Damle, S., and Qiu, X. Euler-based inverse method for turbomachine blades, part 2: threedimensional ows", AIAA Journal, 38(11), pp. 2007{ 2013 (2000). 3. Van Rooij, M., Dang, T., and Larosiliere, L. Improving aerodynamic matching of axial compressor blading using a three-dimensional multistage inverse design method", Journal of Turbomachinery, 129(1), pp. 108{118 (2007). 4. Qiu, X., Ji, M., and Dang, T. Three-dimensional viscous inverse method for axial blade design", Inverse Problems in Science and Engineering, 17(8), pp. 1019{ 1036 (2009). 5. Tiow, W. and Zangeneh, M. Application of a threedimensional viscous transonic inverse method to NASA rotor 67", Proceedings of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy, 216(3), pp. 243{255 (2002). 6. Yang, J. and Wu, H. The solution existence and uniqueness of the inverse method based on transpiration boundary condition", J. Propul. Technology, 36, pp. 579{586 (2015). 7. Demeulenaere, A. and Van den Braembussche, R. Three-dimensional inverse method for turbomachinery blading design", ASME 1996 International Gas Turbine and Aeroengine Congress and Exhibition, pp. V001T01A007{V001T01A007 (1996). 8. Daneshkhah, K. and Ghaly, W. Aerodynamic inverse design for viscous ow in turbomachinery blading", Journal of Propulsion and Power, 23(4), pp. 814{820 (2007). 9. Roidl, B. and Ghaly, W. Redesign of a low speed turbine stage using a new viscous inverse design method", Journal of Turbomachinery, 133(1), p. 011009 (2011). 10. Mileshin, V.I., Orekhov, I.K., Shchipin, S.K., and Startsev, A.N. 3d inverse design of transonic fan rotors e_cient for a wide range of rpm", ASME Turbo Expo 2007: Power for Land, Sea, and Air, pp. 341{352 (2007). 11. Van Rooij, M. and Medd, A. Reformulation of a threedimensional inverse design method for application in a high-_delity CFD environment", ASME Turbo Expo 2012: Turbine Technical Conference and Exposition, pp. 2395{2403 (2012). H. Fallah-Ardeshir et al./Scientia Iranica, Transactions B: Mechanical Engineering 27 (2020) 2478{2488 2487 12. Zhu, Y.-L., Wang, Z.-M., Chen, H.-S., and Tan, C.- Q. Full 3-D inverse design optimization method for turbomachinery blade", Journal of Aerospace Power, 27(5), pp. 1045{1053 (2012). 13. Yang, J., Liu, Y., Wang, X., and Wu, H. An improved steady inverse method for turbomachinery aerodynamic design", Inverse Problems in Science and Engineering, 25(5), pp. 633{651 (2017). 14. Nili-Ahmadabadi, M. and Poursadegh, F. Centrifugal compressor shape modi_cation using a proposed inverse design method", Journal of Mechanical Science and Technology, 27(3), pp. 713{720 (2013). 15. Poursadegh, F., Hajilouy-Benisi, A., and Nili- Ahmadabadi, M. A novel quasi-3D design method for centrifugal compressor impeller on the blade-to-blade plane", ASME 2011 Turbo Expo: Turbine Technical Conference and Exposition, pp. 1155{1162 (2011). 16. Nili-Ahmadabadi, M. and Poursadegh, F. Optimization of a seven-stage centrifugal compressor by using a quasi-3D inverse design method", Journal of Mechanical Science and Technology, 27(11), pp. 3319{3330 (2013). 17. Madadi, A., Kermani, M., and Nili-Ahmadabadi, M. Application of the ball-spine algorithm to design axial-ow compressor blade", Scientia Iranica, Transactions B, Mechanical Engineering, 21(6), pp. 1981{ 1992 (2014). 18. Madadi, A., Kermani, M., and Nili-Ahmadabadi, M. Aerodynamic design of S-shaped di_users using ballspine inverse design method", Journal of Engineering for Gas Turbines and Power, 136(12), p. 122606 (2014). 19. Arbabi, A. and Ghaly, W. Inverse design of turbine and compressor stages using a commercial CFD program", ASME Turbo Expo 2013: Turbine Technical Conference and Exposition, V06BT37A045- V06BT37A045 (2013). 20. Arbabi, A., Ghaly, W., and Medd, A. Aerodynamic inverse blade design of axial compressors in three-dimensional ow using a commercial CFD program", ASME Turbo Expo 2017: Turbomachinery Technical Conference and Exposition, V02BT41A055- V02BT41A055 (2017). 21. Ramamurthy, R., Roidl, B., and Ghaly, W. A viscous inverse design method for internal and external ow over airfoils using CFD techniques", V ECCOMAS CFD (2010). 22. Hajilouy-Benisi, A., Nili-Ahmadabadi, M., Durali, and Ghadak, M. Duct design in subsonic and supersonic ow regimes with and without normal shock waves using exible string algorithm", Scientia Iranica, 17(3), pp. 179{193 (2010). 23. Chen, C., Zhu, B., Singh, P.M., and Choi, Y.D. Design of a pump-turbine based on the 3D inverse design method", KSFM J. Fluid Mach., 18(1), pp. 20{ 8 (2018). 24. Lee, S. Inverse design of horizontal axis wind turbine blades using a vortex line method", Wind Energy, 18(2), pp. 253{66 (2015). 25. Albanesi, A., Fachinotti, V., Peralta, I., Storti, B., and Gebhardt, C. Application of the inverse _nite element method to design wind turbine blades", Composite Structures, 161, pp. 160{72 (2017). 26. Luo, J., Tang, X., Duan, Y., and Liu, F. An iterative inverse design method of turbomachinery blades by using proper orthogonal decomposition", In ASME Turbo Expo 2015: Turbine Technical Conference and Exposition 2015 Jun 15, V02BT39A026- V02BT39A026 (2015). 27. Muntean, S., Draghici, I., G^_nga, G., Anton, L.E., and Baya, A. Hydrodynamic design of a storage pump impeller using inverse method and experimental investigation of the global performances", Wasser- Wirtschaft Extra, 1, pp. 28{32 (2015). 28. Moghadassian, B. and Sharma, A. Inverse design of single-and multi-rotor horizontal axis wind turbine blades using computational uid dynamics", Journal of Solar Energy Engineering, 140(2), p. 021003 (2015). 29. GS, A. and Lal, S.A. Inverse design of airfoil using vortex element method", International Journal of Fluid Machinery and Systems, 11(2), pp. 163{70 (2018). 30. Greitzer, E.M., Tan, C.S., and Graf, M.B., Internal Flow: Concepts and Applications, Cambridge University Press (2007). 31. Nili-Ahmadabadi, M., Durali, M., and Hajilouy-Benisi, A. A novel quasi 3-D design method for centrifugal compressor meridional plane", ASME Turbo Expo 2010: Power for Land, Sea, and Air, pp. 919{931 (2010). 32. Nili-Ahmadabadi, M., Poursadegh, F., and Shahhosseini, M.R. Performance improvement of a centrifugal compressor using a developed 3D inverse design method", ASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis, pp. 201{210 (2012). 33. Ahmadabadi, M.N., Ghadak, F., and Mohammadi, M. Subsonic and transonic airfoil inverse design via ballspine algorithm", Computers & Fluids, 84, pp. 87{96 (2013).