For the thermo-mechanical modeling at system-scale, the contact heat transfer is a major parameter to predict heat flow between individual solid components. The actual contact area of two joint components is only a fraction of the nominal area due to manufacturing-related surface roughness. This results in a thermal resistance, which leads to a temperature drop across the interface. Hence, the exact knowledge of the resistance is crucial for the precise thermal prediction of any multi-component solid system. The majority of available studies in literature focuses on macroscopic planar pairings and thus neglects the influence of curved contact partners. The curvature induces an additional macroscopic constriction resistance, impacting to the overall joint heat transfer and resulting temperature field. Previous work by the authors focused on the development and testing of an experimental method to determine and quantify micro- and macro-scale resistances in a single experiment. In this study, the new method is used as part of comprehensive parameter studies to investigate the influence of roughnesses, pressure, curvature as well as specimen width on both resistances. The results show a clear influence of pressure and roughness on the microscopic resistance. Furthermore, the results suggest a sensitivity of the orientation in surface texture on the microscopic heat transfer. In contrast, the macroscopic resistance is sensitive towards variation in curvature and especially in specimen width. Finally, the results are summarized in a analytical fit function for the micro- and macro-scale resistance.