The modeling work presented in this paper is intended to simulate a plasma jet impinging on a flat surface and its influence on substrate temperature during layer build-up. In the first step, a two-layer model is incorporated into a commercial CFD code to express the turbulent plasma jet and the viscous sublayer that forms on the surface of the impact plane, or in this case, the substrate. In a subsequent step, heat dissipation in the substrate is expressed with a 3D volume model based on finite volume approximation of thermal exchanges. This two-step approach allows surface temperatures on the substrate to be determined as the plasma-sprayed layer grows. The influence of different substrate materials is also considered in this investigation, particularly in regard to transient surface temperatures. Paper includes a German-language abstract.