Numerical solution for cross nanofluid flow in porous medium over stretching cylinder under MHD and radiation effects

The aim of the present study is to analyze heat source in unsteady MHD nanofluid flow subjected to convective boundary conditions past a stretching cylinder incorporated with variable thermal properties. This study is significant in industries involving chemical processing, oil and gas, and manufacturing. The problem possesses a nonsimilar solution when similarity variables are utilized in transforming governing partial differential equations into ordinary differential equations. The numerical solution is found using MATLAB package bvp4c. The velocity, temperature, and concentration curves for various parameters are plotted graphically. The values for the coefficient of skin friction, heat transfer, and mass transfer rate are tabulated for the unsteadiness parameter, Weissenberg number, Prandtl number, Schmidt number, heat source/sink, thermal conductivity parameter, thermal and solutal Biot number, thermophoresis and Brownian parameter, radiation parameter, porosity parameter, and magnetic parameter. It is noted that, rise in porosity (0.5$0.5$–2.5$2.5$) and magnetic parameter (0.2$0.2$–1.4$1.4$) contributes to the decrease in velocity profile. It is found that, radiation effects help in incrementing rate of heat and mass transfer into fluid when radiation parameter ranges from 0.2$0.2$ to 0.8$0.8$. Moreover, present results are in good agreement with the literature published in a limiting context.