Modeling of Melting and Resolidification in Domain of Metal Film Subjected to a Laser Pulse

Journal title

Archives of Foundry Engineering




No 1

Publication authors


Theoretical basis of foundry processes ; Micro-scale heat transfer ; Dual phase lag model ; Melting and solidification ; Numericalmethods

Divisions of PAS

Nauki Techniczne


Archives of Foundry Engineering continues the publishing activity started by Foundry Commission of the Polish Academy of Sciences (PAN) in Katowice in 1978. The initiator of it was the first Chairman Professor Dr Eng. Wacław Sakwa – Corresponding Member of PAN, Honorary Doctor of Czestochowa University of Technology and Silesian University of Technology. This periodical first name was „Solidification of Metals and Alloys” , and made possible to publish the results of works achieved in the field of the Basic Problems Research Cooperation. The subject of publications was related to the title of the periodical and concerned widely understand problems of metals and alloys crystallization in a casting mold. In 1978-2000 the 44 issues have been published. Since 2001 the Foundry Commission has had patronage of the annually published “Archives of Foundry” and since 2007 quarterly published “Archives of Foundry Engineering”. Thematic scope includes scientific issues of foundry industry:

  • Theoretical Aspects of Casting Processes,
  • Innovative Foundry Technologies and Materials,
  • Foundry Processes Computer Aiding,
  • Mechanization, Automation and Robotics in Foundry,
  • Transport Systems in Foundry,
  • Castings Quality Management,
  • Environmental Protection.


Thermal processes in domain of thin metal film subjected to a strong laser pulse are discussed. The heating of domain considered causes

the melting and next (after the end of beam impact) the resolidification of metal superficial layer. The laser action (a time dependent belltype

function) is taken into account by the introduction of internal heat source in the energy equation describing the heat transfer in domain

of metal film. Taking into account the extremely short duration, extreme temperature gradients and very small geometrical dimensions of

the domain considered, the mathematical model of the process is based on the dual phase lag equation supplemented by the suitable

boundary-initial conditions. To model the phase transitions the artificial mushy zone is introduced. At the stage of numerical modeling the

Control Volume Method is used. The examples of computations are also presented.


The Katowice Branch of the Polish Academy of Sciences




Artykuły / Articles


ISSN 2299-2944


Szopa (2015), Numerical modeling of pure metal solidification using the one domain approach of Applied Mathematics and Computational, Journal Mechanics, 14, 28. ; Mochnacki (2012), Definition of alloy substitute thermal capacity using the simple macrosegregation models of Foundry, Archives Engineering, 19, 113. ; Ivanova (2012), Calculation of phase change boundary position in continuous casting of Foundry, Archives Engineering, 13, 57. ; Chen (2004), Nanoscale heat Transfer Encyclopedia of NanoScience and, Nanotechnology, 7, 429. ; Bondarenko (2015), The mathematical model of hydrodynamics and heat and mass transfer at formation of steel ingots and castings of Foundry, Archives Engineering, 15, 1. ; Majchrzak (2012), Numerical modeling of melting process of thin metal film subjected to the short laser pulse of Foundry, Archives Engineering, 12, 105. ; Majchrzak (2007), Identification of thermal properties of the system casting - mould Material, Science Forum, 539. ; Mochnacki (2010), Numerical modeling of casting solidification using generalized finite difference method Materials, Science Forum, 638. ; Tang (1999), Wavy wavelike diffusive thermal responses of finite rigid slabs to high - speed heating of laser - pulses of Heat and Mass Transfer, International Journal, 42. ; Mochnacki (2007), Identification of macro and micro parameters in solidification model Bulletin of the Polish Academy of Sciences : Technical, Sciences, 55. ; Mochnacki (2011), Computational simulations and applications Numerical modeling of solidification process ( Chapter Jianping, INTECH, 24, 513.