Thermal analysis for radiative flow of magnetized Maxwell fluid over a vertically moving rotating disk

In the current framework, we study the chemically reactive Maxwell fluid flow over a vertically moving upward/downward rotating disk during the unsteady motion in the presence of magnetic flux. The problem formulation is made in a manner that governing equations of the physical phenomenon ultimately reduce to classical von Karman viscous pumping problem in the absence of vertical motion. Additionally, the aspects of chemical reaction and nonlinear radiations on heat and mass transfer analysis are studied. For the analysis, we use the similarity transformations that convert the governing system of partial differential equations into ordinary ones. The solution of the transformed system is obtained numerically using bvp4c in MATLAB. The numerical outcomes are demonstrated through graphical and tabular depictions. The results of velocity, temperature and concentration fields are discussed in the presence of upward/downward motion of the disk, magnetic parameter, Deborah number, Schmidt number and chemical reaction parameter. Significant outcomes reveal that the impact of disk upward motion parameter boosts the radial and angular flows. It is further noted that the heat transfer rate grows considerably with the disk rotation and radiation parameters. Moreover, Schmidt and chemical reaction parameters play a vital role in enhancing the Sherwood number.