Materials used in high temperature applications must possess both strength and corrosion resistance. The increase in operating temperatures of industrial energy systems and gas turbines, often coupled with the decrease in fuel quality being employed, has led to the extensive use of coatings capable of providing improved service life. The application of diffusion aluminide coatings on nickel based superalloys has beneficial influence on the high temperature performance of gas turbines operating at elevated temperatures. Platinum addition to basic aluminide coatings significantly improves the oxidation resistance of these coatings [1]. Evidence has now emerged from the oxidation and hot corrosion studies [2] that the high temperature corrosion (HTHC) performance of nickel based superalloys can be improved by the combined addition of platinum and rhodium to nickel aluminide coatings. In the Figure 1, a comparison of the SEM backscattered electron image of the corrosion products of the uncoated MAR M002, Pt-Aluminide, PtRh-Aluminide coatings after 100 h hot corrosion tests at 1173 K is presented. The protective capability of the aluminide coatings is conferred by the ability of the $-NiAl layer to provide aluminum to maintain an Al2O3 based scale at the surface. It is believed that the incorporation of Rh with Pt increases the stability of $-NiAl [3]. This type of coating is very resistant to oxidation owing to its ability to form a slow-growing and adherent oxide, Al2O3 [4,5]. However prolonged oxidation eventually process leads to the depletion of aluminium in the vicinity of the coating/scale interface decreasing the ability $-NiAl to reform the protective -Al2O3. In this work we will show the possibility of adopting a theoretical approach for describing the complex processes occurring in alloy/coating systems induced by reactions at coating/gas interface, e.g., oxidation, sulphidation or other complex processes like hot corrosion. The mathematical model for interdiffusion in multi-component open systems which allows for the description of a wide range of processes (e.g., processes stimulated by reactions at interfaces) is presented. The inverse problem of interdiffusion and the method which permits calculation of the intrinsic diffusivities, for an arbitrary number of components in a system, is also presented. This approach has been used to calculate the effective intrinsic diffusivities of the elements in Pt modified $-NiAl on MAR M002 superalloy. Subsequently, the evolution of the components’ concentration in oxidized Pt modified $-NiAl/MAR M002 system is presented and compared with the experimental results. Figure 1. Comparison of the SEM backscattered electron image of the corrosion products of the uncoated MAR M002, Pt-Aluminide and Pt-Rh-Aluminide coatings after 100 h hot corrosion test at 1173 K. Generalized Model of Interdiffusion This model follows Darken’s postulate [6] that the total mass flow is a sum of the diffusional and drift flows only. The equations of mass conservation (continuity equations), the appropriate expressions describing the fluxes, the postulate of constant molar volume of the system allow for a complete quantitative description of the diffusional transport process. Some aspects of this model for the closed system has been already published [7]. The formulation of the interdiffusion problem for the multicomponent open system and constant intrinsic diffusivities are presented bellow. Data: 1) molecular masses of the elements: M1, . . . , Mr (g mol ), where r denotes the number of components; 2) constant intrinsic diffusivities: D1, . . . , Dr (cm 2 s), which in general, may depend on composition, 3) initial position of the right end of the system (its right border): 7, 4) time of the process duration: t, 5) initial distribution of the elements:
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