Carbon nanotubes based fluid flow past a moving thin needle examine through dual solutions: Stability analysis

The flow of viscous fluid which contains carbon nanotubes as solid nanoparticles past a moving needle in the presence of a porous medium is investigated in the present article. The analysis for heat transportation is performed along with the flow phenomenon with the help of dual solutions. Where the temporal stability analysis is also provided for the existence of a solution for the problem. The heat source is added to the flow system to control the convection energy transfer phenomenon. Moreover, the fluid is considered a hybrid nanofluid with a thermal radiation effect. The properties of nanoparticles in the fluid are expressed through the well-known Himelton-Crosser model for nanofluids. The problem is studied through similar governing differential equations which are solved numerically through the bvp4c method in Matlab. The outcomes are obtained for opposite directions of both flow and needle motion. It is evident from the results the needle size disturbed the fluid motion significantly. The heat transport rate in the fluid is higher in hybrid nanofluid compared to simple nanofluid. The solution stability region is also increased when needle size enlarges.