[1] [1] LIN J. Numerical simulation of the focused powder streams in coaxial laser cladding［J］. Journal of Materials Processing Technology, 2000, 105(1/2): 17-23.

[2] [2] PAN H, LIOU F. Numerical simulation of metallic powder flow in a coaxial nozzle for the laser aided deposition process［J］. Journal of Materials Processing Technology, 2005, 168(2): 230-244.

[3] [3] WEN S Y, SHIN Y C, MURTHY J Y, et al. Modeling of coaxial powder flow for the laser direct deposition process［J］. International Journal of Heat and Mass Transfer, 2009, 52(25/26): 5867-5877.

[4] [4] IBARRA-MEDINA J, PINKERTON A J. A CFD model of the laser, coaxial powder stream and substrate interaction in laser cladding［J］. PhysicsProcedia, 2010, 5: 337-346.

[5] [5] HUANG Y L, LIU J, MA N H, et al. Three-dimensional analytical model on laser-powder interaction during laser cladding［J］. Journal of Laser Application, 2006, 18(1):42-46.

[6] [6] ANSYS Fluent UDF Manual 19.1［M］. Berkeley: ANSYS Inc, 2018: 127-130.

[7] [7] PICASSO M, RAPPAZ M. Laser-powder-material interactions in the laser cladding process［J］. Le Journal De Physique Ⅳ, 1994, 4(C4): C4-27.

[8] [8] SCHOPPHOVEN T, GASSER A, WISSENBACH K, et al. Investigations on ultra-high-speed laser material deposition as alternative for hard chrome plating and thermal spraying［J］. Journal of Laser Applications, 2016, 28(2): 022501.

[9] [9] ZHONG C L, BIERMANN T, GASSER A, et al. Experimental study of effects of main process parameters on porosity, track geometry, deposition rate, and powder efficiency for high deposition rate laser metal deposition［J］. Journal of Laser Applications, 2015, 27(4): 042003.

[10] [10] DEVESSE W, DE BAERE D, GUILLAUME P. Modeling of laser beam and powder flow interaction in laser cladding using ray-tracing［J］. Journal of Laser Applications, 2015, 27(S2): S29208.

[11] [11] NIE P L, OJO O A, LI Z G. Modeling analysis of laser cladding of a nickel-based superalloy［J］. Surface and Coatings Technology, 2014, 258: 1048-1059.

[12] [12] LEYENS C, BRCKNER F, NOWOTNY S. Innovations in laser cladding and direct metal deposition［J］. 2012: MF2B.1.