Mixed convection flow of carbon nanotubes past a thin needle with a Convective Boundary Condition using a BVP4C solver / Nurdina Aqlima Yahaya, Nurul Naziha Mohd Milatu and Rabiatul Adawiyah Mustakim

The problem of a steady laminar boundary layer flow past a continuously moving thin needle in carbon nanotubes with the presence of mixed convection and convective boundary condition is carried out in this study. Two kinds of base fluids namely, water and kerosene are considered in the flow problem. By adopting the similarity transformation, partial differential equations are transformed into ordinary differential equations. The resulting system of equation is then computed numerically via a bvp4c solver through MATLAB software. The bvp4c solver is one of the effective methods used to solve the boundary value problems in numerical study. The effect of the pertinent parameters namely, Biot number, mixed convection, velocity ratio, nanoparticle volume fraction, needle thickness, Prandtl number and carbon nanotubes on the characteristics of fluid flow and heat transfer are graphically presented and have been discussed further. The present study is validated by comparing the current results with those available in the literature, which are found to be in an excellent agreement. It is revealed from the study that the presence of the convective boundary condition tends to enhance the rate of heat transfer between the fluid and the needle surface. Besides, it is observed that the dual similarity solutions exist when the buoyancy force and the free stream flow are moving in opposite directions.