Insight into the dynamics of time-dependent cross nanofluid on a melting surface subject to cubic autocatalysis

Current work unfolds the transport of energy of blood containing nanoparticles of iron oxide (Fe3O4) and mass transport is focalized by considering the homogeneous-heterogeneous chemical process with attached mathematical model of Cross nanofluid. The chemical process is carried out by chemical species and autocatalysis. Nonlinear Partial differential equations (PDEs) are appeared by mathematical model of Cross nanofluid and further delt with transformation for conversion of PDEs into Ordinary differential equations (ODEs). Purpose of numerical outcome of this study is analyzed by two schemes named as two schemes i.e., bvp4c and KELLER-BOX. Comparison of these schemes are investigated through tabular data and statistical bar graphs. From conclusion it is noticed that mass transport is increased with greater homogeneous-heterogeneous chemical parameter. Nanoparticles in fluid boosts the heat transfer. Melting process increase the transport of heat and skin friction. Both schemes are compared and found smooth agreements.