Numerical study of partial slip effects on MHD flow of nanofluids near a convectively heated stretchable rotating disk

In this paper, von Kármán swirling flow problem is extended for the situation where the space above the disk is equipped with water based nanofluid comprising three different types of nanoparticles namely magnetite-Fe3O4, copper-Cu and silver-Ag. It is further assumed that the disk stretches circumferentially in the radial direction and its surface admits partial slip. Further, heat transfer mechanism is modeled through more realistic convective type conditions. The flow field is subjected to the axial magnetic field. A shooting method with high accuracy is opted to solve the governing problem. For verification purpose, the results are also obtained through the collocation method based MATLAB package bvp4c. The solutions predict that velocity components decrease while temperature increases for increasing values of nanoparticle fraction ϕ. The usefulness of nanofluids in terms of heat transfer enhancement is also justified through rigorous analysis. Improvement in cooling rate, which has special value in some applications, is accomplished through the radial stretch phenomenon. Torque required maintaining disk in steady rotation is minimum for Fe3O4 − water nanofluid. Also, heat transfer rate has the maximum value for a nanofluid containing Fe3O4 nanoparticles.