Preview

Proceedings of the National Academy of Sciences of Belarus. Physical-technical series

Advanced search

Simulation of thermal processes in a half-space under heating by a moving source with a uniformly distributed heat flow

https://doi.org/10.29235/1561-8358-2023-68-4-318-330

Abstract

Using the method of applying instantaneous point sources, a solution was obtained to the problem of heat conduction during surface heating of a body in the form of a half-space by a uniformly distributed highly concentrated heat flux moving at a constant speed along a rectilinear trajectory with a different shape of the heating spot at constant thermophysical characteristics of the material. The effect of temperature loading modes and the shape of the heating spot on thermal processes in the heat-affected zone is studied. The surfaces and lines of the temperature level are constructed for different moments of time and speed loading modes in different planes of the heating zone. Time dependences of temperatures, heating and cooling rates for body points are given. The shortcomings of the methods used for linear thermal conductivity, the lack of direct consideration in the design scheme of the surface melt zone of the material do not allow one to reliably assess the effect of heat treatment modes on changes in material properties, focusing only on the level of the maximum design temperature. In this regard, the structure formation of metal in the zone of thermal action is proposed to be associated with a thermal impulse, i.e. the total thermal energy perceived by the material at a given point of the body, as well as with the effective structurization impulse introduced into consideration, which characterizes the energy spent on the process of structural transformations of the material, and the structurization time at a point and some volume of the body. The dependencies of these values on the speed of movement and the shape of the heating spot are presented. The considered approaches can be applied to various metals and alloys. The research results can be used to develop more effective methods for determining the optimal modes of surface hardening of metal products with a high-energy source.

About the Authors

A. V. Verameichyk
Brest State Technical University
Belarus

Andrei I. Verameichyk – Cand. Sci. (Physics and Mathematics), Associate Professor, Associate Professor of the Department of Applied Mechanics.

267, Moskovskaya Str., 224017, Brest



B. G. Kholodar
Brest State Technical University
Belarus

Boris G. Kholodar – Cand. Sci. (Engineering), Associate Professor, Senior Researcher.

267, Moskovskaya Str., 224017, Brest



References

1. Rykalin N. N., Uglov A. A., Zuev I. V., Kokora A. N. Laser and Electron Beam Processing of Materials. Moscow, Mashinostroenie Publ., 1985. 440 p. (in Russian).

2. Rykalin N. N. Calculations of Thermal Processes During Welding. Moscow, State Scientific and Technical Publishing House of machine-building literature, 1951. 296 p. (in Russian).

3. Boley B. A., Weiner J. H. Theory of Thermal Stresses. John Wiley & Sons, 1960. 586 p.

4. Carslaw H. S., Jaeger J. C. Conduction of Heat in Solids. 2nd ed. Oxford University Press, 1959. 310 p.

5. Akbari M., Sinton D., Bahrami M. Geometrical Effects on the Temperature Distribution in a Half Space Due to a Moving Heat Source. Journal of Heat Transfer, 2011, vol. 133, iss. 6, art. ID 064502. https://doi.org/10.1115/1.4003155.

6. Muzychka Y. S., Yovanovich M. M. Thermal resistance models for non-circular moving heat sources on a half space. Journal of Heat Transfer, 2001, vol. 123, no. 4, pp. 624–632. https://doi.org/10.1115/1.1370516

7. Zubair S. M., Chaudhry M. A. Temperature solutions due to time-dependent moving line heat sources. Heat and Mass Transfer, 1996, vol. 31, pp. 185–189. https://doi.org/10.1007/BF02333318

8. Attetkov A. V., Volkov I. K., Tverskaja E. S. Axisymmetric temperature field of isotropic half-space under local unste ady-state heating by environment. High Temperature, 2010, vol. 48, no. 4, pp. 583–587. https://doi.org/10.1134/S0018151X10040164

9. Ravi T., Pathan F. Z., Vahadne M. Optimization of Heat Transfer through Rectangular Duct. International Research Journal of Engineering and Technology, 2015, vol. 2, iss. 4, pp. 1906–1910.

10. Ahire Y. M., Ghadle K. P. Three-Dimensional Unsteady State Temperature Distribution of Thin Rectangular Plate with Moving Point Heat Source. Indian Journal of Materials Science, vol. 2016, art. ID 7563215. https://doi.org/10.1155/2016/7563215

11. Nemchinskii A. L. Thermal Calculations of Heat Treatment. Leningrad, Sudprom Publ., 1953. 106 p. (in Russian).

12. Sarsembaeva T. E., Bogomolov A. V., Kanaev A. T., Topolyansky P. A. Trengthened layer at plasma hardening during whole-rolled wheel. Vestnik nauki Kazakhskogo agrotekhnicheskogo universiteta im. S. Seifullina = Herald of Science of S. Seifullin Kazakh Agro Technical Research University, 2019, no. 4 (103), pp. 154–161.

13. Kanaev A. T., Sarsembaeva T. E., Saidullaeva M. A. Formation of Gradient-Foliated Structures under HighTemperature Thermomechanical Treatment and Surface Plasma Quenching of Carbon Steel. Steel in Translation, 2021, vol. 51, pp. 677–682. https://doi.org/10.3103/s0967091221090059

14. Verameichyk A. I., Holodar’ B. G. Influence of the shape of the outlet section of the nozzle of a high-energy jet source on the temperature levels in the zone of thermal exposure. Novye tekhnologii i materialy, avtomatizaciya proizvostva: sbornik statei [New Technologies and Materials, Production Automation: Collection of Articles]. Brest, Brest State Technical University Publ., 2022, pp. 217–220 (in Russian).

15. Belinin D. S., Shchicyn Yu. D. Features of structure formation during plasma surface hardening to a greater depth of 40X13 steel products. Izvestiya Samarskogo nauchnogo centra Rossiiskoi akademii nauk = Proceedings of the Samara Scientific Center of the Russian Academy of Sciences, 2012, vol. 14, no. 4, pp. 1202–1205 (in Russian).

16. Ivancivskii V. V. Control of the Structural and Stress State of the Surface Layers of Machine Parts During Their Hardening Using Concentrated Sources of Heating and Finishing Grinding. Novosibirsk, 2012. 425 p. (in Russian).

17. Balanovskii A. E. Plasma Surface Hardening of Metals. Irkutsk, Irkutsk State University Publ., 2006. 180 p. (in Russian).

18. Korn G. A., Korn T. M. Mathematical Handbook for Scientists and Engineers: Definitions, Theorems, and Formulas for Reference and Review. McGraw-Hill Book Company, 1961. 943 p.


Review

Views: 149


Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


ISSN 1561-8358 (Print)
ISSN 2524-244X (Online)