The Paton Welding Journal, 2000, №07

2000 №07 (01)

2000 №07 (03)

---

The Paton Welding Journal, 2000, #7, 11-16 pages

Mathematical modelling of absorption of gases by metal during welding

I.K. Pokhodnya, V.I. Shvachko, O.M. Portnov

E.O. Paton Electric Welding Institute of the NASU 11 Kazymyr Malevych Str., 03150, Kyiv, Ukraine.

Abstract
Results of mathematical modelling of absorption of hydrogen and nitrogen by iron during welding are presented. The kinetic model of interaction of the low-temperature plasma with metal, based on the combined solution of equations of mass traasfer in gas and metal, has been developed. Comparison of calculation results and experimental data shows that the model developed adequately describes absorption of two-atomic gases by metal. The process of absorption of gases by the molten metal pool from the low-temperatire plasma has been calculated. The above model allowed the effect of the plasma temperature on the concentration of gas dissolved in metal to be estimated.
Keywords: mathematical modelling, low-temperature plasma, absorption of hydrogen and nitrogen, equation of mass transfer, Boltzmann equation

References

1. Pokhodnya, I.K. (1972) Gases in welds. Moscow: Mashinostroyeniye.
2. Kogan, M.N., Makashev, N.K. (1971) Role of the Knudsen layer in the theory of heterogeneous chemical reactions and flows with reactions on the surface. Izv. AN SSSR, Mekhanika zhidkosti i gaza, 6, 3 - 11.
3. Averin, V.V., Revyakin, A.V., Fedorchenko, V.I. et al. (1976) Nitrogen in metals. Moscow: Metallurgia.
4. Linchevsky, B.V. (1986) Thermodynamics and kinetics of interaction of gases with liquid metals. Moscow: Metallurgia.
5. Yetrehus, T. (1983) Asymmetries in evaporation and condensation Knudsen layer problem. Phys. Fluids, 4, 939 - 949.
6. Bergstrom, T., Yetrehus, T. (1984) Gas problem in front of a completely absorbing wall. Ibid., 3, 583 - 588.
7. Velikovich, L., Liberman, M. (1987) Physics of shock waves in gases and plasma. Moscow: Nauka.
8. Dembovsky, V. (1981) Plasma metallurgy. Moscow: Metallurgia.
9. Morozov, A.N. (1968) Hydrogen and nitrogen in steel. Moscow: Metallurgia.
10. Granovsky, V.L. (1971) Electric current in gases. Moscow: Nauka.
11. Samarsky, A.A. (1987) Introduction into numerical methods. Moscow: Nauka.
12. Molchanov, I.N. (1987) Mathematical methods for solving of applied problems. Kyiv: Naukova Dumka.

---

Suggested Citation

I.K. Pokhodnya, V.I. Shvachko, O.M. Portnov (2000) Mathematical modelling of absorption of gases by metal during welding. The Paton Welding J., 07, 11-16.

---