Comparative numerical analysis of Maxwell's time-dependent thermo-diffusive flow through a stretching cylinder

The study of fluid flow around a stretching cylinder has great importance, due to its broad range of applications in engineering and industries. In this article, unsteady incompressible Maxwell nanofluid flow around a stretching cylinder escorted by unfluctuating suction/injection impact has been scrutinized. The Maxwell nanofluid nature is described through Buongiorno's model. The dimensionless system of ODEs is diminished from the system of modeled equations, through a proper similarity transformation. The obtained system of ordinary differential equations is further numerically computed with PCM (Parametric continuation method). For the validity of the results, the outcomes are compared with Matlab package boundary value solver (bvp4c). The physical entities influence on velocity, energy, concentration, and magnetic strength profiles are sketched and discussed. It has been perceived that the momentum of mass transmission is significantly increases with the effects of thermophoresis parameter, while the velocities in angular and radial directions are reducing with enlarging of viscosity parameter. The influences of thermal radiation R_d and Brownian motion are particularly more valuable to enhance the temperature of the fluid. Furthermore, by applying the magnetic field a resistive force is formed, which reduced the velocities and boosted the temperature of the fluid.