Semi-analytical framework for non-linear magnetohydrodynamic nanofluid flow in mechanical engineering systems

Abstract

In this work, radiative Magnetohydrodynamic nanofluid flow over a stretched surface with variable thickness is thoroughly analyzed, taking joule heating effects into account. Through suitable similarity conversions, the non-linear governing differential equations for thermal energy, momentum, and species concentration are reduced to a set of coupled ordinary differential equations. The new approximate analytical methodology and the Modified Homotopy analysis methodology (MHAM), two effective semi-analytical methodologies, are subsequently incorporated to this set of equations in order to get precise approximations for velocity, temperature, and concentration distributions. Excellent consistency is revealed when the results are compared to established numerical data to confirm their reliability. To evaluate the influence of important physical parameters such as magnetic interaction, thermal radiation, Joule heating, Brownian motion, and thermophoretic effects, a methodical parametric study is conducted. Important relevant metrics, such as the Sherwood number, Nusselt number, and skin friction coefficient, are also thoroughly examined. The results demonstrate the usefulness of the suggested semi-analytical framework for challenging fluid flow issues and advance our knowledge of transport phenomena in electrically conducting nanofluids