Modeling and research of heat transfer in a composite body under dynamic heating conditions

Аuthors

Novikov A. S.

Russian Information Technology Development Foundation, Moscow, Russia

e-mail: novikov@mai.ru

Abstract

This paper focuses on analytical modeling of temperature field distribution in a composite body under dynamic heating. A transient heat conduction problem for a layered plate is solved using an auxiliary Sturm-Liouville problem and the construction of a Green's function. This allowed us to obtain an accurate mathematical solution for calculating temperatures at any point in the computational domain. The ANSYS software suite was used to verify and expand the analysis. Finite element modeling was performed using the Transient Thermal (thermal analysis) and Static Structural (thermoelastic response) modules. An analytical solution was obtained describing the heating dynamics of the composite body. A comparative heat transfer analysis was conducted.

Keywords:

thermal conductivity; composite rod; Green's function; Sturm–Liouville problem; thermoelasticity; dynamic heating; finite element method; ANSYS

References

1. Koshoridze S.I., Levin Y.K., Rabinskiy L.N., Babaytsev A.V. INVESTIGATION OF DEPOSITS IN CHANNELS OF PANELS OF A HEAT-TRANSFER AGENT. Russian Metallurgy (Metally). 2017. Т. 2017. № 13. С. 1194-120
2. Fozilov T.T., Yakovlev M.G., Babaytsev A.V. The effect of thermal treatment on weld structure of the vzh178p alloy after rotational friction welding. Journal of Machinery Manufacture and Reliability. 2023. Т. 52. № 3. С. 236-240. 
3. Mamunya, Y. P.; Davydenko, V. V.; Pissis, P.; Lebedev, E. V. Eur. Polym. J. 2002, 38, 1887−1897.
4. Yorifuji, D.; Ando, S. Macromol. Chem. Phys. 2010, 211, 2118−2124.
5. Babaytsev A.V., Ventsenostsev D.L., Rabinsky L.N., Radchenko V.P. Evaluation of Thermal Conditions of the Transmitter-Receiver Module of an Active Phased Antenna Array. Bulletin of Tula State University. Technical Sciences. 2017. No. 9-1. Pp. 365-374.
6. A.V. Sotov, A.V. Agapovichev, V.G. Smelov, R.R. Kyarimov. Study of the Effect of the Spatial Arrangement of a Part during its Shaping on its Accuracy and Physical-Mechanical Characteristics. Method. Manual. Publishing House of Samara. University, 2017. - 38 p.
7. H. Arora, R. Singh, G. S. Brar, Thermal and structural modelling of arc welding processes: a literature review, Measurement and Control 52 (7-8) (2019) 955–969.
8. G. G. Gladush, I. Smurov, Physics of laser materials processing: theory and experiment, Vol. 146, Springer Science & Business Media, 2011.
9. N. Laraqi, An exact explicit analytical solution of the steady-state tem- perature in a half space subjected to a moving circular heat source, J. Trib. 125 (4) (2003) 859–862.
10. L. Sim, S.R. Ramanan, H. Ismail, K.N. Seetharamu, T. Goh, Thermochim. Acta 430 (2005) 155–165. 
11. A. Gusarov, I. Yadroitsev, P. Bertrand, I. Smurov, Model of radiation and heat transfer in laser-powder interaction zone at selective laser melt- ing, Journal of heat transfer 131 (7).
12. P. Promoppatum, S.-C. Yao, P. C. Pistorius, A. D. Rollett, A com- prehensive comparison of the analytical and numerical prediction of the thermal history and solidification microstructure of inconel 718 products made by laser powder-bed fusion, Engineering 3 (5) (2017) 685–694.
13. H. Wilson, On convection of heat, Proc. Camb. Phil. Soc. 12 (1904) 406–423.
14. D. Rosenthal, The theory of moving sources of heat and its application of metal treatments, Transactions of ASME 68 (1946) 849–866.
15. T. Eagar, N. Tsai, et al., Temperature fields produced by traveling dis- tributed heat sources, Welding journal 62 (12) (1983) 346–355.
16. Z. Hou, R. Komanduri, General solutions for stationary/moving plane heat source problems in manufacturing and tribology, International jour- nal of heat and mass transfer 43 (10) (2000) 1679–1698.

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