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This article deals with the application of the stochastic Exodus method for modelling of thermal spraying heat transfer processes and for solving direct and indirect problems. The Exodus stochastic method has an advantage in straightforward solving of the transient inverse heat transfer multi-dimensional problems over other methods based on iterative fittings procedures used for example by finite element methods (FEM). Theoretical background of the method is introduced. Application capabilities of the method are shown on the example of high velocity oxygen fuel thermal spraying heat transfer process analysis. Comparisons with results of FEM computational method application are presented.

The martensitic phase transformation in a Ni 53.6 Mn 27.1 Ga 19.3 shape memory alloy is an athermal phase transformation that starts practically, immediately after reaching a certain transient temperature. The final temperature is given at each point of the sample by two processes: heat conduction and phase transformation. Both processes take place in tandem. The thermal expansion and calculation of the temperature fields in a dilatometer are used to determine the transient temperatures and to study the transient temperature ranges.

This paper deals with the application of the stochastic Exodus method in simulation of the heat transfer processes in the multi-layer structure of thermal barrier coating. A 2D computer simulation model of thermal barrier behaviour during its dynamic thermal loading is presented. The Exodus stochastic simulation method has been applied to solve the indirect thermal problem in order to determine TBC surface temperature and heat flux from the temperatures measured inside the sample. Comparison of the computer results with the result of the thermography measurement is presented to show capabilities of the simulation model.