An efficient numerical scheme for solving the melting transportation of energy with time dependent Carreau nanofluid

Some novel features of the current study are presented as:.•Two dimension unsteady Carreau nanofluid is presented to move the stretchable surface in detail.•Tiwari and das nanofluid models are considered in the present problem.•Heat and mass transfer analysis are carried out in the existence of exothermic/ endothermic based chemical reactions.•The discussion of the stretching sheet is also considered in this study.•Lobatto IIIA approach is executed to present the numerical solutions of the PDEs.