Numerical Assessment of Heat and Mass Transportation in $$\upgamma {\Mathrm{al}}_{2}{\mathrm{o}}_{3}{-}{\Mathrm{h}}_{2}\mathrm{o}/{\mathrm{c}}_{2}{\mathrm{h}}_{6}{\mathrm{o}}_{2}$$ Nanofluids Influenced by Soret and Dufour Effects

The current flow model is dedicated to capture the role of Dufour and Soret on heat and mass transmission of rotating flow of $$\upgamma {\mathrm{Al}}_{2}{\mathrm{O}}_{3}-{\mathrm{C}}_{2}{\mathrm{H}}_{6}{\mathrm{O}}_{2}$$ and $$\upgamma {\mathrm{Al}}_{2}{\mathrm{O}}_{3}-$$ water nanoparticles due to exponential stretching under the action of thermal radiation, magnetic, and Eckert numbers. The problem is modelled in terms if partial differential equations (PDEs) with associated physical conditions. The ordinary differential equations (ODEs) are obtained via suitable transformations. The reduced nonlinear ODEs set is tackled via a new scheme. We suggested significant improvements in the traditional technique and further formulated an extended version of wavelets scheme-based Chebyshev polynomials thoughts. The detailed procedure of the wavelet scheme and flow chart are provided. To validate the numerical outcomes; a comparative study with numerical technique RK (order-4) is also provided. Furthermore; numerical consequences of velocity, concentration and temperature profiles are further examined using several plots. The graphical plots, compared and convergence analyses are endorsing that our proposed modifications are worthy. Velocities profiles in view of $$\gamma {\mathrm{Al}}_{2}{\mathrm{O}}_{3}-{\mathrm{C}}_{2}{\mathrm{H}}_{6}{\mathrm{O}}_{2}$$ nanofluid are lower than the $$\gamma {\mathrm{Al}}_{2}{\mathrm{O}}_{3}{-}{\mathrm{H}}_{2}\mathrm{O}$$ nanofluid. Temperature and concentration profiles are dominant when $$\gamma {\mathrm{Al}}_{2}{\mathrm{O}}_{3}{-}{\mathrm{H}}_{2}\mathrm{O}$$ nanofluid is considered.