**4. Conclusions**

In the present work, the mathematical simulation of the thermogravitational convection of a non-Newtonian fluid within a closed square cavity in the presence of a local heat-generating element was carried out. Governing partial di fferential equations formulated using the non-primitive variables and Ostwald-de Waele power law were solved by the finite di fference method. An analysis of the key parameters influence on the process under investigation was performed based on the obtained distributions of streamlines and isotherms, as well as dependences of the average Nusselt number and average temperature inside the energy source. Taking into account the obtained results the following conclusions can be formulated:


**Author Contributions:** D.S.L. and M.A.S. conceived the main concept. D.S.L., A.S. and M.A.S. contributed to the investigation and data analysis. D.S.L., A.S. and M.A.S. wrote the manuscript. All authors contributed in writing the final manuscript.

**Funding:** This work was supported by the Grants Council (under the President of the Russian Federation), Grant No. MD-821.2019.8.

**Conflicts of Interest:** The authors declare no conflict of interest.
