@ARTICLE{Zaręba_Marek_The_2022,
 author={Zaręba, Marek and Gołębiowski, Jerzy},
 volume={70},
 number={3},
 journal={Bulletin of the Polish Academy of Sciences Technical Sciences},
 pages={e141006},
 howpublished={online},
 year={2022},
 abstract={The paper has investigated the effect of wind speed on selected thermal characteristics of the contemporary ACCR line. As wind speed functions, heating curves, stationary temperature profiles, steady-state current ratings and thermal time constants, have been determined. The composite core (Al–Al2O3) and the Al–Zr alloy braid were modeled as porous solids. As a result, the physical model is composed of a solid cylinder and a hollow cylinder with different material parameters of the above-mentioned elements. The mathematical model was formulated as the boundary-initial problem of the parabolic heat equation. The problem was solved by the state-superposition of and variable-separation method. On this basis, a computer program was developed in the Mathematica 10.4 environment and the velocity characteristics sought for were plotted. The results obtained analytically were positively verified by the finite-element method in the NISA v.16 environment. The physical interpretation of the determined characteristics has been given.},
 type={Article},
 title={The thermal characteristics of ACCR lines as a function of wind speed – an analytical approach},
 URL={http://www.czasopisma.pan.pl/Content/122846/PDF/2693_BPASTS_2022_70_3.pdf},
 doi={10.24425/bpasts.2022.141006},
 keywords={wind speed, transient and steady temperature field, ACCR line, mathematical modeling},
}