Stability analysis and implication of Darcy magnetic-radiative hybrid reactive nanofluid heat transfer over a shrinkable surface with Ohmic heating

This study focused on Al2O3-Cu/water-based hybrid nanofluid to address the issue related to heat-mass transfer over a Darcy shrinkable surface with the magnetic field with thermal radiation effects. Variable thermal conductivity, Joule dissipation, chemical reaction with velocity, and thermal slip condition for hybrid nanofluid are also considered here. The governing equations of this study are reduced by utilizing similarity transformations before being solved numerically by the bvp4c function in MATLAB. The results also indicate the existence of multiple solutions in the shrinking sheet region for a certain amount of mass suction parameter, where the solution of the upper branch was stable while unstable for the lower branch. The influences of the chosen parameters on the velocity, temperature, skin friction coefficient, local Nusselt number, and Sherwood number are addressed and graphically illustrated. Further, it is found that due to an increase in Al2O3 nanoparticle volume fraction, the coefficient of skin friction with heat transfer rate boosts up, whereas the Sherwood number decays. The results also reveal that increasing values of shrinking parameter decline the local Nusselt number but upsurges skin friction coefficient. Moreover, the hybrid nanofluid velocity decreases (increases) in the first (second) solution for the enhancement of the permeability parameter. The initial solution's positive minimum eigenvalue was revealed by stability analysis, which distinctly defined a stable and feasible flow. Boundary layer hybrid nanofluid flow in industrial applications such as extru-sion processes is attributable to impulsive movement of an extensible moving surface. These results are crucial in the long term because they allow us to optimize heat transmission for cooling and heating applications, to enhance industrial growth, especially in the manufacturing and processing sectors.

Automated summary

This study focuses on Al2O3-Cu/water-based hybrid nanofluid and addresses the heat-mass transfer issue over a Darcy shrinkable surface with magnetic field and thermal radiation effects. Various factors such as variable thermal conductivity, Joule dissipation, chemical reaction with velocity, and thermal slip condition are considered. The governing equations are solved numerically, and the results show the existence of multiple solutions. The influences of parameters on velocity, temperature, skin friction coefficient, local Nusselt number, and Sherwood number are analyzed. The findings have important implications for industrial applications in terms of optimizing heat transmission and enhancing industrial growth.