Heat and Mass transport phenomenon on 3D MHD Jeffery Nano‐liquid past an exponentially stretchable sheet subject to Soret and Dufour effect: Optimal Solutions

Abstract

AbstractThe literature survey reveals that nano‐liquids are more efficient for heat and mass transport in association with liquids traditionally. However, insight into established techniques for enhancing heat and mass transport in nano‐materials have filled the gaps. Subsequently, extensive research on the aforementioned model has become dynamic. The present investigation aims to study Magnetohydrodynamics on three‐dimensional incompressible, non‐Newtonian Jeffrey nano‐fluid flow over a bidirectional stretchable surface with slip velocities, convective, and mass fluxed zero conditions. Additionally, the impact of Soret and Dufour effects, along with the rate of the first‐order chemically reacted parameter, are taken into consideration. The dimensional equations are transformed into non‐dimensional ones by adopting the Optimal Homotopy Analysis Method (OHAM) to solve highly coupled non‐linear equations semi‐analytically. The results are represented graphically and listed numerically. The current research reveals a significant finding, the higher Deborah numbers amplify the horizontal velocity gradient, while reducing the Jeffery fluid parameter has a similar effect. Moreover, both the Jeffery fluid parameter and Deborah number contribute to the increase in thermal boundary layer thickness, which contrasts with the gradient of nano‐particle concentration. The obtained results are compared with the non‐availability of literature in the same direction by assuming some special cases on different gradients.