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.

Heating process in the domain of thin metal film subjected to a strong laser pulse are discussed. The mathematical model of the process

considered is based on the dual-phase-lag equation (DPLE) which results from the generalized form of the Fourier law. This approach is,

first of all, used in the case of micro-scale heat transfer problems (the extremely short duration, extreme temperature gradients and very

small geometrical dimensions of the domain considered). The external heating (a laser action) is substituted by the introduction of internal

heat source to the DPLE. To model the melting process in domain of pure metal (chromium) the approach basing on the artificial mushy

zone introduction is used and the main goal of investigation is the verification of influence of the artificial mushy zone ‘width’ on the

results of melting modeling. At the stage of numerical modeling the author’s version of the Control Volume Method is used. In the final

part of the paper the examples of computations and conclusions are presented.

An innovative method for determining the structural zones in the large static steel ingots has been described. It is based on the

mathematical interpretation of some functions obtained due to simulation of temperature field and thermal gradient field for solidifying

massive ingot. The method is associated with the extrema of an analyzed function and with its points of inflection. Particularly, the CET

transformation is predicted as a time-consuming transition from the columnar- into equiaxed structure. The equations dealing with heat

transfer balance for the continuous casting are presented and used for the simulation of temperature field in the solidifying virtual static

brass ingot. The developed method for the prediction of structural zones formation is applied to determine these zones in the solidifying

brass static ingot. Some differences / similarities between structure formation during solidification of the steel static ingot and virtual brass

static ingot are studied. The developed method allows to predict the following structural zones: fine columnar grains zone, (FC), columnar

grains zone, (C), equiaxed grains zone, (E). The FCCT-transformation and CET-transformation are forecast as sharp transitions of the

analyzed structures. Similarities between steel static ingot morphology and that predicted for the virtual brass static ingot are described.