Numerical Solutions of MHD Stagnation-Point Flow over an Exponentially Stretching/Shrinking Sheet in a Nanofluid

This present paper analyses the steady 2-D stagnation-point flow over an exponentially stretching/shrinking sheet in nanofluids with the effect of magnetohydrodynamic (MHD). The effect of nanoparticles volume fraction parameter φ, and the stretching/shrinking sheet parameter ε was analysed over metallic nanoparticles namely as copper (Cu) in the based fluid of water with Prandtl number Pr = 6.2. The problem was solved numerically by using a similarity transformation to transform the governing partial differential equations into nonlinear ordinary differential equations and then solved using the boundary value problems solver bvp4c in Matlab software. The results reveal that the shrinking sheet is non-unique while the stretching sheet is unique. Thus, with the increment of the magnetohydrodynamic, the range of solutions is expended. As the magnetic field parameter increase, the skin friction and heat transfer also increase. (paper)