Abstract

Motivating by the importance of viscoelastic nanofluids in the nanotechnological and biomedical fields, the current analysis intends mainly to examine the aspects of 2D steady Jeffery nanofluid flows near a vertically elongating surface, in the case where the thermal radiation affects linearly on the driven viscoelastic nanofluid flows with the effective thermal contribution of a non-uniform internal heat source. By invoking Buongiorno's model together with the convective heating and Stefan blowing conditions, the leading boundary layer differential formulation is achieved successfully based on reasonable hypotheses. Moreover, the corresponding solutions are computed numerically using BVP4C's method. In this respect, BVP4C's outcomes reveal that the convective heating and Stefan blowing mechanisms exhibit both an upsurging tendency towards the thermal and mass profiles. On the other hand, a declining impression is witnessed for Sherwood's number when strengthening these processes, whilst a dissimilar impression is seen for Nusselt's number. Furthermore, the involved rheological parameters exhibit reverse dynamical and frictional sways on the viscoelastic nanofluid motion.

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