Fundamental scientific research has developed new approaches to studying gasdynamic and hydrodynamic processes in jet (and jet) technology. This article presents selected research results from a new research area focused on thrust vector control within a full geometric sphere. The thrust vector deflection angle can vary from plus 180 degrees to minus 180 degrees, in any direction, using one of a series of patented jet devices as an example. Distributed energy supply in the jet device channels is considered. The research builds on Euler's scientific legacy. Proposals for the practical application of the obtained results are discussed, including the creation of digital twins for various jet devices, including those with rotating nozzle motion. For educational and conceptual design, it is proposed to develop Euler's methodology using modern CFD technologies. The research laid the scientific groundwork for the development of jet technology and turbomachines. It was also demonstrated that there are numerous avenues for further development of Euler's ideas, both within fundamental and applied research, and using new mathematical tools, including emerging artificial intelligence technologies. It is proposed to develop scientific research in the fields of energy-saving power engineering; oil and gas field development; and the creation of highly maneuverable robotic transport systems capable of long-term operation in various environments – on land, at sea, and in the air.
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