Numerical solution of time-dependent micropolar nanofluid flow over a linear curved stretching surface using BVP4C

This study focused on unsteady micropolar nanofluid flow over a linear curved stretching surface, aiming to improve the numerical approach for solving heat transfer problems. Similarity transformations were applied to reduce the Partial Differential Equations (PDEs) into Ordinary Differential Equations (ODEs). The momentum and energy profile along with numerical results were obtained by using BVP4C solver in MATLAB. This study explores the effects of the curvature parameters on momentum profile and the stretching parameters on energy profile. The results indicate that momentum profile increased as curvature parameters increased. For energy profile, it shows that the energy profile decreased as stretching parameters increased. In addition, this study also explored the effects of curvature on wall shear stress, microrotation, heat transfer and mass transfer as reflected in the variation of skin friction, couple stress coefficient, Nusselt number and Sherwood number. These findings highlight the effectiveness of BVP4C in solving nonlinear systems in heat transfer problems and provide valuable insight into how different physical parameters influence the flow and temperature behavior. Overall, this study offers insight applicable to cooling system, biomedical field and material coating processes where curved and stretching surface interact with complex fluid like micropolar nanofluid.