Affiliations: [a] Department of Mathematics, GITAM School of Technology, Bengaluru, Karnataka, India. E-mails: [email protected], [email protected] | [b] Department of Mathematics, University B.D.T. College of Engineering, Davangere, Karnataka, India. E-mail: [email protected]
Abstract: This study explores the magneto hydrodynamic Carreau fluid in the interruption of titanium alloy nanoparticles with heat generation and porosity. The simulation is performed by combination of titanium alloy nanoparticles into base water. Titanium is strong and light in weight and sit is used in military and aerospace, in bio science it is used as anti-microbial, anti-biotic, and anti-fungal agents. The arising set of partial differential equations (P.D.E) are converted into set of ordinary differential equation (O.D.E) using suitable similarity transformation and then solved by the help of Runge–Kutta with shooting method technique. The computational results for non-dimensional temperature and velocity are presented with graphs. We analyzed the numerical values of physical quantities (friction factor and local Nusselt number) for various values physical parameters and they are presented in tables. We also compared the current result with existing result under some limited cases. At end of our analysis we notified that the temperature profiles are enriched with increasing values of heat generation and porosity parameter.