According to the agreement No. 298/ZHG-2-22-24 the following results were achieved for the implementation of scientific, scientific and technical projects for grant financing from October 20, 2022 for 2023 (year 2):
- Theoretical research:
Work has been carried out to combine previously obtained theoretical results to perform a weakly nonlinear analysis of changes in the flow of liquids with a yield point. Using the advanced Lagrange method, the main flow parameters are calculated, including velocity components, torque, energy of the base flow, flow lines, vorticity, and Landau coefficients are calculated. The variations of the geometric parameters of the Taylor-Couette system from narrow to wide (radius ratios from 0.9 to 0.4), various values of the Bingham parameter (from 0 to 15) and the nature of the formed flows (supercritical/subcritical) in the Taylor-Couette system were analyzed.
- Publication of the article:
An article with theoretical results was prepared and sent to the Journal of Fluid Mechanics, quartile – Q1 with a high impact factor (percentile 79%-92%, H-index 245). The article was published on December 10, 2023 in volume 976 of the journal (DOI: https://doi.org/10.1017/jfm.2023.874).
- Business trip abroad:
A foreign business trip to the LEMTA laboratory (Nancy, France) was completed in the period from February 1 to March 3, 2023: studies of the rheological characteristics of liquids with a yield point of various concentrations were conducted; visual experiments were conducted that confirmed theoretically calculated critical flow values; problems such as liquid sliding on the walls of equipment were identified during the experiments, and ways of their solutions are proposed and tested; flow changes with increasing Reynolds number and liquid concentration are estimated; Conclusions have been drawn about potential improvements in the system and equipment for future research in 2024.