Dual Solution Analysis of Magnetohydrodynamic Flow and Heat Transfer over a Stretching/Shrinking Cylinder in CNT Nanofluids

Abstract

The study of flow over a stretching/shrinking cylinder at stagnation point considering the effect of magnetohydrodynamic investigated. The governing equations, along with the boundary conditions, were transformed into ordinary differential equations using a similarity transformation. These equations were then solved using the bvp4c in MATLAB. Two base fluids, water and kerosene and both single-wall (SWCNTs) and multi-wall (MWCNTs) carbon nanotubes, each with distinct densities. The effects of several parameters were examined through graphical representations of velocity, temperature, skin friction coefficients and heat transfer rate. These parameters include the magnetic field M, curvature parameter γ, stretching/shrinking parameter λ and CNT volume fraction φ. The findings illustrated that dual solutions exist for shrinking case and unique solution present in stretching case. The heat transfer rates are higher in kerosene-based fluid with single-walled carbon nanotubes compard to water-based fluid with multi-walled carbon nanotubes.