Dual Solutions of Non‐Newtonian Micropolar Nanofluid Flow and Heat Transfer Over a Stretching/Shrinking Surface With Chemical Reaction and Lorentz Forces

A two‐dimensional (2D), steady‐state, incompressible, stratified magneto‐hydrodynamic (MHD) boundary‐layer micropolar nanofluid flow past a stretching and shrinking surface is considered. In addition, the effects of chemical reaction, thermal radiation, buoyancy forces, and stratified boundary conditions are examined. The Buongiorno model has been considered to develop the equations of the present problem as partial differential equations (PDEs), which are further converted to ordinary differential equations (ODEs) by applying similarity transformations. Furthermore, the shooting technique is applied via Maple software to obtain numerical solutions. Duality in solutions has been achieved at various limits of physical factors, that is, shrinking/stretching and suction. Stability analysis is also performed in MATLAB software using BVP4c to check the feasibility of the achieved solutions. Whereas, the key results indicate that the skin friction and coupled stress decline on the stretching surface and increase over the shrinking surface. While the local Nusselt and Sherwood numbers are seen to enhance due to suction for both cases of the surfaces. The velocity profile enhances with an increase in the magnetic, suction, and forced convective parameters, while increasing the values of the micromaterial parameters reduces the velocity profile. Temperature profiles are raised with increasing values of magnetic, thermophoresis, Brownian motion, micromaterial, radiation, and thermal stratified parameters. The concentration profile arises with the enrichment of magnetic, micromaterial, and thermophoresis parameters.