**5. Conclusions**

A significant modification in the mathematical model for hybrid nanofluid has been made for the analysis of flow, heat and mass transfer. Chemical species reactions are shown in hybrid nanofluid. The problem is modeled in rotating systems for the nanoparticles ZnO and Au with base fluid ethylene glycol and solved through HAM. In ethylene glycol-based fluid (C2H6O2), two types of nanoparticles, namely ZnO (zinc oxide) and Au (gold), with volume fractions *φ*<sup>1</sup> = 0.03 and *φ*<sup>2</sup> = 0.04 are investigated, respectively. It is noted that for *φ*<sup>1</sup> = 0.00 and *φ*<sup>2</sup> = 0.00, the problem becomes about viscous fluid with the absence of nanoparticles volume fractions. If *φ*<sup>1</sup> = 0.00, Ag/C2H6O<sup>2</sup> is obtained and if *φ*<sup>2</sup> = 0.00, ZnO2/C2H6O<sup>2</sup> is constructed. Achieving better comprehension, the competencies of active parameters on flow, heat transfer and concentration of heterogeneous-homogeneous chemical reactions are noted. There exists a nice agreement between the present and published work in Tables 4 and 5. The problem has potential for renewable energy system and researchers to investigate the thermal conductivity of nanoparticles like silver, aluminum, copper etc. with different base fluids like water, benzene, engine oil etc. The results for flow, heat transfer and concentration of homogeneous-heterogeneous chemical reactions are summarized as following.


field parameter *M*. In case of Au-ZnO/C2H6O2, heat transfer *θ*(*ζ*) also decreases with increasing values of thermal radiation parameter *Rd*.


**Author Contributions:** Conceptualization, N.S.K.; methodology, N.S.K.; software, N.S.K.; validation, N.S.K.; formal analysis, P.K.; investigation, N.S.K.; resources, P.T.; data curation, P.T.; writing—original draft preparation, N.S.K.; writing—review and editing, N.S.K.; visualization, P.K.; supervision, N.S.K.; project administration, P.K.; funding acquisition, P.K. All authors have read and agreed to the revised version of the manuscript.

**Funding:** This research is funded by the Center of Excellence in Theoretical and Computational Science (TaCS-CoE), KMUTT.

**Acknowledgments:** This work was partially supported by the International Research Partnerships: Electrical Engineering Thai-French Research Center (EE-TFRC) between King Mongkut's University of Technology North Bangkok and Universite' de Lorraine under Grant KMUTNB-BasicR-64-17. The authors are cordially thankful to the honorable reviewers for their constructive comments to improve the quality of the paper. This research is supported by the Postdoctoral Fellowship from King Mongkut's University of Technology Thonburi (KMUTT), Thailand. This project is supported by the Theoretical and Computational Science (TaCS) Center under Computational and Applied Science for Smart Innovation Research Cluster (CLASSIC), Faculty of Science, KMUTT.

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