On Arrhenius steady hydromagnetic heat transfer to natural convection flow in a stretching upright sheet: viscous dissipation and Newtonian heating

PurposeThe purpose of this study is to investigate the impact of Arrhenius kinetics on hydromagnetic free convection of an electrically conducting fluid flowing past a vertically stretched sheet maintained at a constant temperature, considering viscous dissipation. In this study, the understanding of the Biot number is essential for comprehending and enhancing heat transfer processes in a flow. Mastering this concept is crucial for the efficient design and management of various industrial and natural systems. The effect of Newtonian heating is accurately addressed by adjusting the traditional temperature boundary condition.Design/methodology/approachThe presiding inconsistent Partial differential equations are contrasted to ordinary differential equations by similitude changes and the solutions are completed numerically by fourth-order Runge-Kutta (RK-4) and shooting procedures. Tables and graphs feature vividly in annotating the outcomes of changing parameters on the flow.FindingsNotably, the Biot number significantly impacts temperature gradients and distribution, which subsequently affect the flow's velocity and thermal characteristics; that is, velocity and temperature contours increase directly to an upsurge in the Biot number. Contrasting with existing work, a perfect harmony is experienced. Arrhenius kinetics are essential for predicting and managing fluid flow behaviour in systems where reactions are sensitive to temperature. Grasping this relationship helps engineers and scientists enhance process efficiency, ensure safety and optimize fluid-based systems. Similarly, Newtonian heating significantly impacts fluid flow by affecting temperature distribution, viscosity, buoyancy-driven flows and flow stability. Mastering the control of this heating process is vital in both natural and engineered fluid systems. Technical applications of this research include variation cooling and atomic power generation refrigeration.Originality/valueThe distinguishing quality of this research lies in the scrutiny of Arrhenius steady hydromagnetic heat transfer to natural convection flow in a stretching upright sheet: viscous dissipation and Newtonian heating. To best of the authors' understanding, a problem like this has not been considered. The findings in this work will give useful information to scientists and engineers.