Implementation of Implicit Finite Difference on Unsteady MHD Nano Fluid Flow Pass a Magnetic Sphere Problem

Nano fluid is a Newtonian fluid that consist of liquid fluid as base fluid and solid nano particles with small scale from one to 100 nanometers (nm). Magneto-hydrodynamics (MHD) flow is motion of fluid flow that can conduct due to the presence of magnetic field. Magnetic field and mixed convection can influence the velocity and temperature profile in fluid. This research is about unsteady nano fluid MHD on the boundary layer that flows pass a magnetic sphere under the influence of mixed convection. We construct mathematical model of MHD boundary layer flow in nano fluid to obtain dimensional governing equations. Then, the equations converted into non-dimensional equations by using non dimensional variables and similarity equations using stream function. This solution is obtained numerically by using finite difference method. We obtain the effect of magnetic parameter and mixed convection parameter to velocity and temperature profiles. This research has revealed that when the magnetic field(M)parameters increase then the velocity profiles decrease and temperature profiles increase. Also, when the mixed convection (λ) increase then the velocity profiles decrease and temperature profiles increase. Index Terms - Newtonian Fluid, MHD Nano Fluid, Magnetic Sphere, Finite Difference Method.