Impacts of Arrhenius activation energy and oblique magnetic field on the flow of freely oscillating nanofluid over a rough surface

Abstract

The significance of freely oscillating unsteady stagnation flows is attributed to their use in various kinds of engineering processes like cooling systems, heat exchangers and turbomachinery. The restrictive forces produced with the help of magnetic fields are a useful technique in providing optimum flow control in the metallurgical operations and refinement of molten metals. The present study highlights the inclined magnetic field implications on an oscillatory streaming nanofluid which impinges non-orthogonally over a non-smooth surface. The surface roughness of the wall is elaborated by the slip velocity condition. The two-phase Buongiorno nanofluid model is being considered. The energy dissipation due to the active chemical reactions occurring in the flow is adopted with Arrhenius activation energy. Suitable dimension-free variables are chosen to make the mathematical model parameter dependent. The numerical outcomes of the problem are determined through the utilization of the bvp5c solver based on the finite difference method using MATLAB R2023a. The graphical representations depict significant alteration in concentration profiles with thermal ratio and Activation energy (). The findings indicate that higher activation energy and weaker temperature conditions increased the mass transfer. In conjunction, the velocity profile is enhanced for acute magnetic field angles.