Magnetothermal
Analysis of Gold Melting in Crucible-Based Induction Furnaces Using Finite
Volume Method
This study examines the thermal and
electromagnetic behavior of pure gold during induction heating, an area that
has received limited research attention despite the widespread industrial use
of induction technology for melting various metals. The research employs a
finite volume computational method to analyze a 50 Hz crucible-based induction
furnace [1], diverging from the finite element techniques typically used in
previous investigations. The analysis focuses on determining the time and
energy requirements needed to bring gold to its melting point of 1337.33 K,
tracking the coupled magnetic and thermal processes throughout the heating
cycle. The study presents theoretical foundations of electromagnetic and heat
transfer principles. However, the modeling approach does not capture the actual
melting transition or the coexistence of solid-liquid phases, as incorporating
these phenomena would require advanced phase-change modeling and fluid dynamics
calculations beyond the current scope.
[1]
Rezgui, Z., Tibouche, A., & Ikhlef, N. (2025). Numerical
investigation of gold melting in an induction crucible furnace: a parametric
study of electromagnetic and thermal characteristics using finite volume
method. Gold Bulletin, 58(1), 11.
[2] Rudnev, V.,
& Totten, G. E. (Eds.). (2014). Induction heating and heat treatment. ASM
international.
[3] Auerkari, P.
(1996). Mechanical and physical properties of engineering alumina ceramics
(Vol. 23). Espoo, Finland: Technical Research Centre of Finland.
[4] Rudnev, V.,
Loveless, D., & Cook, R. L. (2017). Handbook of induction heating. CRC
press.
[5]
VUILLERMOZ, P. L., & LAURENT, M.
(1993). Conductivité thermique des solides. Ed. Techniques
Ingénieur.
[6] Khvan, A. V.,
Uspenskaya, I. A., Aristova, N. M., Chen, Q., Trimarchi, G., Konstantinova, N.
M., & Dinsdale, A. T. (2020). Description of the thermodynamic properties
of pure gold in the solid and liquid states from 0 K. Calphad, 68, 101724.
[7] Arblaster, J. W. (2016).
Thermodynamic properties of gold. Journal of Phase Equilibria and
Diffusion, 37(2), 229-245.
[8] Mazumder, S.
(2015). Numerical methods for partial differential equations: finite difference
and finite volume methods. Academic Press.
[9] Murthy, J. Y.,
& Mathur, S. R. (2002). Numerical methods in heat, mass, and momentum
transfer. School of Mechanical Engineering Purdue University.