Significance of Darcy-Forchheimer and Lorentz forces on radiative alumina-water nanofluid flows over a slippery curved geometry under multiple convective constraints: a renovated Buongiorno’s model with validated thermophysical correlations

Abstract

Critical point of view on the dynamics of water conveying chemically reactive alumina nanoparticles around a slippery curved geometry (e.g. hemisphere) due to the linear stretching motion of the irregular boundary is inconclusive based on the fact that nothing is known on probable results when increasing the strength of the main embedded factors, like the nanoparticles’ loading, the curvature geometry index, the magnetic field, the nonlinear porosity of the medium, and the activation energy, in the case where the convective heating, the convective mass transport, and the velocity slip are imposed as boundary conditions. For a better description of the flow problem, Buongiorno’s and Koo-Kleinstreuer-Li’s approaches were adopted as realistic nanofluid models since the thermo-rheological features of alumina-water nanofluids are complex functions of many nanometric phenomena (e.g. Brownian motion, thermophoresis, and thermal resistance). Further, the nonlinear system of the governing partial differential equations (PDEs) that models the transport phenomenon was reduced mathematically to a system of ordinary differential equations (ODEs). To achieve convergent solutions, the obtained system of ODEs was solved numerically using irregular generalized differential quadrature schemes along with an efficient Newton–Raphson package. Based on the results of this analysis, it is worth concluding that the nanofluid motion is observed to be decelerated when the magnitudes of slip parameter and drag forces have increased, whereas an enhancing trend like for the thermal Biot number is witnessed for the temperature throughout the medium.