Numerical studies on the effects of melting heat transfer over quadratic radiative-magnetic hybrid nanofluid flow toward a porous shrinkable surface influenced by second-order slip velocity: Stability analysis and entropy generation

Abstract

ABSTRACT The exclusive behavior of hybrid nanofluid flow and heat transmission properties through a porous medium toward a porous shrinking surface along with the external magnetic field, melting heat transfer, and second-order slip is investigated in this study. Moreover, the effects of a porous medium and quadratic thermal radiation are also incorporated. Molybdenum disulfide () and silicon dioxide () are hybridized as a very dilute homogenous mixture in the base fluid water (). Nonlinear partial differential equations with specified boundary constraints are transformed into a set of nonlinear ordinary differential equations using similarities transformation before being solved numerically with the help of default solver by bvp4c technique in MATLAB programming. This work is distinctive because it presents a novel hybrid nanofluid mathematical model with multiple (lower and upper) solution branches for the shrinking case within the defined ranges of the physical parameters. The temporal stability analysis shows that only one solution is stable as time evolves. The results are shown as velocity and temperature curves, skin friction coefficient, and local Nusselt number in the form of tabulated data and graphical structures. The heat for quadratic thermal radiation and melting heat transfer parameters contribute to the progress of thermal enhancement. Furthermore, by combining silicon oxide with a volume percentage of molybdenum disulfide, the flow is retarded, and heat transfer is enhanced. Entropy formation is considerably enhanced by quadratic thermal radiation and nanoparticle solid volume fraction parameters. In engineering, hybrid nanofluid has many uses, including in cosmetics, fabrics, paper plastics, automobiles, soaps, food packaging, food colorants, homes, cancer treatment, pharmaceuticals, ceramics, and paints.