Abstract
Doped zirconium oxide nanoparticles [ZrO2](NPs) in the [PEG-H2O] and [TiO2](NPs) in the [PEG-H2O/ZrO2](c) matrices to fabricated the [PEG-H2O/ZrO2+TiO2](h) hybrid nanofluid films by a sol-gel method, the average crystallite size is 100 +/- 5 nm. The nanofluid and hybrid nanofluid thin films are studied using combined experimental and DFT theoretical method (DMOl(3)), including FTIR spectrum and optical properties. Mathematically, Higher rate of reactions of rotating [PEG/H2O/ZrO2](m), and [PEG-H2O/ZrO2+TiO2](h) nanofluids on an extending sheet is considered with thermal radiation and heat source. The numerical Runge-Kutta-Fehlberg of 4-5th order (RKF45) method is used to solve the issue. The results specifically determine that Delta E-g(Opt) values decrease from 2.27 eV for [PEG-H2O/ZrO2](m) mono nanofluid to 1.596 eV for [PEG-H2O/ZrO2+TiO2](h) hybrid nanofluid using the DFT computations HOMO and LUMO calculation. This result concluded that the [PEG-H2O/ZrO2](m) transformed from semiconductor to [PEG-H2O/ZrO2+TiO2](h) as a superconductor hybrid nanofluid by addition [TiO2](NPs). The hybrid nanoparticles have a higher influence than nanoparticles on the velocity distributions.