Abstract
This paper documents the incompressible hydro-magnetic flow and heat transfer analysis of water–Graphene oxide (GO) nanofluid. More exactly, the nanofluid flow occurs along a thin needle moving axially. Despite the fact that there seems to be various works on the subject in the existing literature, however, very few studies have been carried out to investigate the dual numerical solution for such flow. Consequently, the inspiration here is to look for dual numerical solutions for such a non-linear phenomenon along with the stability analysis of computed solutions. The governing coupled equations representing the mathematical formulation of the current physical problem were obtained from the equation of motion and the mass and the energy conservations by taking steady and incompressible flow. The numerical solution of governing set of simultaneous ordinary differential equations is computed with the assistance of Matlab solver bvp4c. This research aimed at revealing the conceivable impacts of existing fluid interaction parameters on non-dimensional velocity and temperature distributions. These computations exhibits that more than one solution is possible only in case of flow over shrinking needle for certain combinations of the parameters. The result shows that the skin friction coefficient increases in both solutions with higher nanoparticles volume fraction. Furthermore, an enhancement in local Nusselt number is noted as the thermal radiation parameter increases.
•We simulate the fluid flow over a past a continuously moving thin needle immersed in a nanofluid.•Dual branch of solutions are possible for a certain range of parameter.•A stability analysis is carried out to examine which solution stable and physically realizable.•The bvp4c collocation formula is employed to get the solution for governing problem.