http://www.sciepub.com/journal/JMSA Journal of Mathematical Sciences and Applications is a peer-reviewed, open access journal that publishes original research articles and review articles in all areas of mathematical sciences and applications. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of mathematical sciences and applications. Science and Education Publishing en 2013 Science and Education Publishing Co. Ltd All rights reserved. Journal of Mathematical Sciences and Applications 10 1 January 2025 2013 Science and Education Publishing Co. Ltd All rights reserved. http://pubs.sciepub.com/jmsa/10/1/1 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.]]> Rasha Adel 2025-02-04 Science and Education Publishing 2025-02-04 1 10 1 12 10.12691/jmsa-10-1-1