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JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

Dal'nevost. Mat. Zh., 2024 Volume 24, Number 2, Pages 157–169 (Mi dvmg540)

This article is cited in 1 paper

The role of surface tension and wetting in the cultivation of metal products in direct laser 3D printing technologies

N. I. Belozerov, K. A. Chekhonin

Khabarovsk Division of the Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences

Abstract: The three-dimensional convective heat and mass transfer occurring in a metal melt bath during layer build-up in 3D laser printing technologies (L-DED technology) is considered. The mathematical model of the considered non-isothermal hydrodynamic process with a phase transition is based on the Navier – Stokes, continuity and energy equations, taking into account diffusion, convective and radiative heat losses. The dynamic model of the free surface of the metal melt includes a Laplace pressure jump, Marangoni forces and wetting conditions. The numerical solution of the problem is performed by the method of mixed finite elements with a divergently stable approximation of the main variables. The influence of surface tension and wetting dynamics on the evolution of geometric parameters of a melt bath during thin wall growth is shown.

Key words: L-DED technologies, surface tension, wetting, convective heat and mass transfer, phase transition, free surface.

UDC: 532.2

MSC: Primary 11B37; Secondary 33E05

Received: 02.10.2024
Accepted: 18.11.2024

DOI: 10.47910/FEMJ202414



© Steklov Math. Inst. of RAS, 2025