## 7 Conclusions  
The use of two different computational methods, based on the finite difference method (GAZBEAR program) and the finite volume method (ANSYS CFX), made it possible to determine the load capacity of a self-acting gas bearing lubricated with vapor from a low-boiling medium. The results obtained from the two different methods agreed with each other. The bearing load capacity in the vertical direction increased with increasing journal eccentricity, reaching a maximum of around 90 N at an eccentricity of 0.6. Given the small size of the analyzed bearing and the low viscosity of the low-boiling medium used to lubricate it, this result can be considered satisfactory. Based on the results obtained, it can be concluded that either of the methods used can be employed for advanced analysis of self-acting gas bearings. As for the in-house developed GAZBEAR program, specialized knowledge of gas bearing modeling and analysis methods is necessary, but the advantage of this method is its very short calculation time. Among other things, this allows the calculation process to be run multiple times and multiple gas bearing design variants to be tested in a short period. With a universal CFD program, it is easier to build or use a prebuilt model and interpret the obtained results, but the calculation process takes much longer. Each of these tools, with a properly prepared model, is capable of providing reliable results that can be of great help in the design and optimization process of gas bearings. Self-acting (gas-dynamic) gas bearings are an attractive solution for the bearing systems of high-speed, micropower machinery. Such bearings allow, for example, the use of vapor from a low-boiling medium for their lubrication. The advanced numerical analysis of gas-dynamic bearings presented in this article allows a better understanding of the flow phenomena occurring within them and the development of strategies to optimize the load capacity of a bearing designed for a specific application. The calculation results obtained showed that the self-acting gas bearing is capable of carrying a significant load under the correct operating conditions, but is also very sensitive to changes in operating parameters such as rotational speed, viscosity of the lubricating medium, or position of the journal in the bearing sleeve. In subsequent work, the authors plan to compare the results of the numerical calculations with those from experimental research. A prototype turbogenerator with the self-acting gas bearings discussed is currently being prepared for testing under laboratory conditions, which should provide valuable data on the actual characteristics of the bearing system. Conceptualization, G.Z. ; methodology, M.B. and P.B. ; software, M.B. ; validation, M.B. and P.B. ; investigation, M.B. and P.B. ; resources, G.Z. ; data curation, M.B. and P.B. ; writing--original draft preparation, M.B. and P.B. ; writing--review and editing, G.Z. ; visualization, M.B. and P.B. ; supervision, G.Z. ; project administration, G.Z. ; funding acquisition, G.Z. All authors have read and agreed to the published version of the manuscript. This research was funded by the National Centre for Research and Development (NCBR) in Poland, under BIOSTRATEG strategic research and development programme, Grant Agreement No. BIOSTRATEG3/344128/12/NCBR/2017 (Acronym: TechRol). Not applicable. Data Availability Statement: The original contributions presented in the study are included in the article, further inquiries can be directed to the corresponding author. The authors would like to thank [PERSON] and [PERSON] from the Lodz University of Technology for developing the GAZBEAR program and implementing it at the Institute of Fluid-Flow Machinery of the Polish Academy of Sciences. The authors would also like to thank [PERSON] for the linguistic and grammatical proofreading of the manuscript. The authors declare no conflicts of interest.