Numerical analysis of chemical reaction and non-linear radiation for magneto-cross nanofluid over a stretching cylinder

This work is focused on the numerical solution of non-Newtonian unsteady flow of a Cross nanofluid over a continuously expanding/contracting horizontal cylinder. The flow study and joule heating are obtainable in the presence of a binary chemical reaction, radiation and nanofluid for a devised Nanomaterial model, considering the phenomena of Brownian motion and thermophoresis. The idea of Boussinesq-approximations is developed with the help of momentum, temperature and concentration equations by using appropriate transformations. The nonlinear partial differential equations (PDE's) are converted to ordinary ones via appropriate transformations. A numerical solution is obtained through the implementation of a boundary value problem fourth-order (bvp4c) technique. Flow parameters are discussed graphically. Physical engineering quantities, like surface drag forces, Nusselt and Sherwood numbers are examined numerically. It is concluded that heat transfer rates are enhanced for heat source/sink and Brownian motion.