Dynamical and optimal procedure to analyze the exhibition of physical attributes imparted by Sutterby magneto-nanofluid in Darcy medium yielded by axially stretched cylinder

This work aims to interpret the heat and mass transmission of Sutterby fluid by exploring the effects of a magnetic field. Flow field equations in cylindrical coordinates are obtained by incorporating Darcy resistance law. Afterwards, a mathematical structure for the physical problem is formulated. This formulation yields an intricate nonlinear set of partial differential expressions. A suitable scaling group of variables is employed on subsequent equations to convert them into non-dimensional form. Dynamical and optimal analyses are performed to achieve physical features of the present problem from the solution. A graphical depiction is presented for the flow behavior of convoluted physical parameters on velocity, temperature, and concentration profiles. Additionally, the quantities (local shear stress coefficient, thermal convective transfer coefficient, and local mass flux coefficient in the limiting case) that are responsible for extracting the physical phenomena in the vicinity of a stretched surface are computed and demarcated by varying controlling flow parameters.