Novel model for the influence of power-law index on the behavior of ternary hybrid nanofluid flow between inclined parallel two disks: a study on the gravity effect and magnetic field

This novel study attempts to analyze the effects of power-law index (n) on the ternary hybrid nanofluid (THNF) flow across the inclined rotating disks. The impact of gravity, magnetic field, heat source and thermal radiation is considered when analyzing the flow. The Group transformation method (GTM) is utilized to convert the novel model (PDE) into a system of (ODEs). Based on innovative discoveries, the system of ODEs with associated functions is achieved at two cases of n. The resulting novel system is numerically solved by employing the “bvp4c function in MATLAB”. The impact of magnetic field, power-law index, Reynold number, Grashof number, heat source and radiation parameter on the velocity profile and thermal field of the system is clearly presented using graphs. A quantitative comparison between the current findings and previously published results is made to confirm the higher efficiency of the method used. When the power-law index is between 0.5 and 1.5, the velocity of THNF reaches 80% at the center of the boundary layer. Moreover, the percentage of increasing in the heat transfer rate of THNF is predicted to be 15.81% for a range $\left ( 0.3\leq R_{d} \leq 0.7 \right )$ of radiation parameters.