Acknowledgement
Supported by : National Natural Science Foundation of China
References
- Adechy, D. and Issa, R.I. (2004), "Modelling of annular flow through pipes and T-junctions", Comput. Fluid., 33(2), 289-313. https://doi.org/10.1016/S0045-7930(03)00056-2
- American Society of Civil Engineers (2012), ASCE Manuals and Reports on Engineering Practice No.79 Steel Penstocks, 2rd Edition, American Society of Mechanical Engineers.
- ANSYS Inc. (2011), ANSYS FLUENT User's Guide, Version 14.0, Canonsburg, PA.
- ANSYS Inc. (2011), ANSYS Structural Analysis Guide, Version 14.0, Canonsburg, PA.
- Ardizzon, G., Cavazzini, G. and Pavesi, G. (2014), "A new generation of small hydro and pumped-hydro power plants: Advances and future challenges", Renew. Sustain. Energy Rev., 31, 746-761. https://doi.org/10.1016/j.rser.2013.12.043
- Austin, R.G., Waanders, B.V.B., McKenna, S. and Choi, C.Y. (2008), "Mixing at cross junctions in water distribution systems II: Experimental study", J. Water Res. Plan. Manag., 134(3), 295-302. https://doi.org/10.1061/(ASCE)0733-9496(2008)134:3(295)
- Bassett, M.D., Winterbone, D.E. and Pearson, R.J. (2001), "Calculation of steady flow pressure loss coefficients for pipe junctions", Proceedings of the Institution of Mechanical Engineers, Part C: J. Mech. Eng. Sci., 215(8), 861-881. https://doi.org/10.1177/095440620121500801
- Cheng, Y.G. and Yang, J.D. (2005), "Hydraulic resistance coefficient determination of throttled surge tanks by means of computational fluid dynamics", J. Hydra. Eng., 7,787-792.
- Deane, J.P., O Gallachoir, B.P. and McKeogh, E.J. (2010), "Techno-economic review of existing and new pumped hydro energy storage plant", Renew. Sustain. Energy Rev., 14(4), 1293-1302. https://doi.org/10.1016/j.rser.2009.11.015
- Dhatt, G., Lefrancois, E. and Touzot, G. (2012), Finite Element Method, John Wiley and Sons.
- Ferziger, J.H. and Peric, M. (2002), Computational Methods for Fluid Dynamics, 3rd Edition, Springer, Berlin.
- Gan, G. and Riffat, S.B. (2000), "Numerical determination of energy losses at duct junctions", Appl. Energy, 67(3), 331-340. https://doi.org/10.1016/S0306-2619(00)00026-X
- German, V.A., Komleva, N.A. and Rytchenko, E.N. (1998), "Design and calculation of the steel penstocks and forks of the hydroelectric station at the shahid abbaspour dam", Hydrotech. Constr., 32(3), 168-170. https://doi.org/10.1007/BF02905899
- Hafiz, Y.A., Younan, M.Y. and Abdalla, H.F. (2012), "Limit and Shakedown loads determination for locally thinned wall pipe branch connection subjected to pressure and bending moments", ASME 2012 Pressure Vessels and Piping Conference, American Society of Mechanical Engineers.
- Jeong, W. and Seong, J. (2014), "Comparison of effects on technical variances of computational fluid dynamics (CFD) software based on finite element and finite volume methods", Int. J. Mech. Sci., 78, 19-26. https://doi.org/10.1016/j.ijmecsci.2013.10.017
- Kim, Y.J., Lee, K.H. and Park, C.Y. (2006), "Limit loads for thin-walled piping branch junctions under internal pressure and in-plane bending", Int. J. Press. Ves. Pip., 83(9), 645-653. https://doi.org/10.1016/j.ijpvp.2006.07.002
- Kim, Y.J., Lee, K.H. and Park, C.Y. (2008), "Limit loads for piping branch junctions under internal pressure and in-plane bending-Extended solutions", Int. J. Press. Ves. Pip., 85(6), 360-367. https://doi.org/10.1016/j.ijpvp.2007.11.007
- Lee, K.H., Kim, Y.J., Budden, P.J. and Nikbin, K. (2009), "Plastic limit loads for thick-walled branch junctions", J. Strain Anal. Eng. Des., 44(2), 143-148. https://doi.org/10.1243/03093247JSA455
- Lee, K.H., Xu, Y., Jeon, J.Y., Kim, Y.J. and Budden, P.J. (2012), "Plastic limit loads for piping branch junctions under out-of-plane bending", J. Strain Anal. Eng. Des., 47(1), 32-45. https://doi.org/10.1177/0309324711427001
- Liu, H. and Li, P. (2013), "Even distribution/dividing of single-phase fluids by symmetric bifurcation of flow channels", Int. J. Heat Fluid Flow, 40, 165-179. https://doi.org/10.1016/j.ijheatfluidflow.2013.01.011
- Myeong, M.S., Kim, Y.J. and Budden, P.J. (2012), "Limit load interaction of cracked branch junctions under combined pressure and bending", Eng. Fract. Mech., 86, 1-12. https://doi.org/10.1016/j.engfracmech.2012.01.011
- Nazari, M.E., Ardehali, M.M. and Jafari, S. (2010), "Pumped-storage unit commitment with considerations for energy demand, economics, and environmental constraints", Energy, 35(10), 4092-4101. https://doi.org/10.1016/j.energy.2010.06.022
- Papatheocharis, T., Diamanti, K., Varelis, G.E., Perdikaris, P.C. and Karamanos, S.A. (2013), "Experimental and numerical investigation of pipe T-junctions under strong cyclic loading", ASME 2013 Pressure Vessels and Piping Conference, American Society of Mechanical Engineers.
- Perez-Garcia, J., Sanmiguel-Rojas, E. and Viedma, A. (2009), "New experimental correlations to characterize compressible flow losses at 90-degree T-junctions", Exper. Therm. Fluid Sci., 33(2), 261-266. https://doi.org/10.1016/j.expthermflusci.2008.09.002
- Perez-Garcia, J., Sanmiguel-Rojas, E. and Viedma, A. (2010), "New coefficient to characterize energy losses in compressible flow at T-junctions", Appl. Math. Model., 34(12), 4289-4305. https://doi.org/10.1016/j.apm.2010.05.005
- Perez-Garcia, J., Sanmiguel-Rojas, E., Hernandez-Grau, J. and Viedma, A. (2006), "Numerical and experimental investigations on internal compressible flow at T-type junctions", Exper. Therm. Fluid Sci., 31(1), 61-74. https://doi.org/10.1016/j.expthermflusci.2006.02.001
- Romero-Gomez, P., Ho, C.K. and Choi, C.Y. (2008), "Mixing at cross junctions in water distribution systems I: Numerical study", J. Water Res. Plan. Manag., 134(3), 285-294. https://doi.org/10.1061/(ASCE)0733-9496(2008)134:3(285)
- Seppala, M. and Volcheck, E. (2012), Computational Algebraic and Analytic Geometry, American Mathematical Society.
-
Shih, T.H., Liou, W.W., Shabbir, A., Yang, Z. and Zhu, J. (1995), "A new k-
${\varepsilon}$ eddy viscosity model for high reynolds number turbulent flows", Comput. Fluid., 24(3), 227-238. https://doi.org/10.1016/0045-7930(94)00032-T - Storozhuk, E.A., Chernyshenko, I.S. and Kharenko, S.B. (2012b), "Elastoplastic deformation of conical shells with two circular holes", Int. Appl. Mech., 48(3), 127-132.
- Storozhuk, E.A., Chernyshenko, I.S. and Rudenko, I.B. (2012a), "Elastoplastic state of spherical shells with cyclically symmetric circular holes", Int. Appl. Mech., 48(5), 573-582. https://doi.org/10.1007/s10778-012-0539-5
- Tang, J.L., Wang, L.W. and Li, X. (2009), "Resistance characteristics of hydraulic oil through isodiametric T-type duct with sharp corners", Chin. J. Mech. Eng., 22(2), 250-255. https://doi.org/10.3901/CJME.2009.02.250
- Thomas, G.B., Finney, R.L., and Weir, M.D. (1988), Calculus and Analytic Geometry, Vol.7, Addison-Wesley, Reading, MA.
- Ure, J., Chen, H. and Tipping, D. (2013), "Calculation of a lower bound ratchet limit part 2-Application to a pipe intersection with dissimilar material join", Eur. J. Mech. A/Solid., 37, 369-378. https://doi.org/10.1016/j.euromechsol.2012.04.002
- Van, D.J. and Raithby, G.D. (1984), "Enhancement of the SIMPLE method for predicting incompressible fluid flow", Numer. Heat Transf., 7(2), 147-163.
- White, F.M. (2008), Fluid Mechanics, 6th Edition, McGraw-Hill, New York.
- Wilcox, D.C. (1993), Turbulence Modeling for CFD, DCW Industries, Inc., La Canada, Calif.
- Xuan, F.Z. and Li, P.N. (2004), "Finite element-based limit load of piping branch junctions under combined loadings", Nucl. Eng. Des., 231(2), 141-150. https://doi.org/10.1016/j.nucengdes.2004.03.007
- Xuan, F.Z., Li, P.N. and Tu, S.T. (2003), "Evaluation of plastic limit load of piping branch junctions subjected to out-of-plane moment loadings", J. Strain Anal. Eng. De., 38(5), 395-404. https://doi.org/10.1243/03093240360713450
- Xuan, F.Z., Li, P.N. and Tu, S.T. (2006), "Limit load analysis for the piping branch junctions under in-plane moment", Int. J. Mech. Sci., 48(4), 460-467. https://doi.org/10.1016/j.ijmecsci.2005.07.013
- Xuan, F.Z., Liu, C.J. and Li, P.N. (2005), "An approximative solution for limit load of piping branch junctions with circumferential crack and finite element validation", Nucl. Eng. Des., 235(7), 727-736. https://doi.org/10.1016/j.nucengdes.2004.11.004
- Yamaguchi, F. and Yamaguchi, F. (1988), Curves and Surfaces in Computer Aided Geometric Design, Springer-Verlag, Berlin.
- Zhang, Q.L. and Wu, H.G. (2013), "Using softened contact relationship describing compressible membrane in FEA of spiral case structure", Arch. Civil Mech. Eng., 13(4), 506-517. https://doi.org/10.1016/j.acme.2013.04.009
Cited by
- Numerical modeling of preloaded filling spiral case structure vol.15, pp.8, 2018, https://doi.org/10.1590/1679-78255048