The novelty of this paper investigates the influence of magnetic field on a nanofluid flow over curvy vertical cone in presence of natural convection with viscosity inversely proportional to linear temperature function. Use the nano-particle Cu and the based fluid is water. The fundamental equations are transformed into non- dimensional partial differential equations by using the dimensionless form, and the curvy surface impact will be eliminated from the boundary conditions applying this non-dimensional form. The transformed equations will be solved numerically by finite difference (fully implicit method). The numerical results will be obtained for magnetic parameter, Prandtl number, surface amplitude, cone half-angle and viscosity variation parameter and their effect on velocity, temperature and Nusselt number. The effect of increasing the magnetic parameter reduces the velocity and increases the temperature. Redundancy of Prandtl number increases the temperature, while the increase of Cone half-angle (CHA) increases the velocity profile. The influence of increasing the viscosity parameter tends to increase the Nusselt number.

Magnetic Field, Nano-fluid, Vertical Wavy Cone, Natural Convection, Fully implicit method