Numerical analysis of ferromagnetic Carreau fluid flow comprising viscos dissipation aspects

Process of transportation of heat in ferrofluids has innumerable applications in the fields of electronics and automobile industry. By tracing the materials, the ferrofluid got popularity among researchers and engineers, also most ferrofluids are non-Newtonian in nature so here the non-Newtonian fluid is under consideration. In this study, the influences of viscous dissipation and magnetic parameter in the flow of ferromagnetic Carraeu fluid for a stretching surface are examined. Suitable similarity transformations in the system that consists of nonlinear form of Partial Differential Equations (PDEs) are transformed into a system of nonlinear form of ODEs, then the resulting Ordinary Differential Equations (ODEs) are resolved by use of a mathematical technique known as bvp4c. Effects of ferromagnetic interaction factor, Curie temperature, viscous dissipation and material parameter are examined for temperature profile as well as velocity fields. Moreover, the variations in velocity and thermal gradients are analyzed and described with the help of graphs. An upsurge in the values of magnetic interaction parameter and Weissenberg number causes a decline in the velocity field while the thermal gradient shows opposite behavior. It is detected that the temperature of Carreau fluid intensifies for larger ?? and ?.

Automated summary

The effects of viscous dissipation and magnetic parameter on the flow of ferromagnetic Carraeu fluid on a stretching surface are studied. Nonlinear partial differential equations are transformed into nonlinear ordinary differential equations using the bvp4c mathematical technique. The study examines the influences of ferromagnetic interaction factor, Curie temperature, viscous dissipation, and material parameter on temperature and velocity fields, and describes the variations in velocity and thermal gradients with the help of graphs. Increase in magnetic interaction parameter and Weissenberg number leads to a decrease in velocity field while the thermal gradient shows opposite behavior. It is found that the temperature of Carreau fluid intensifies for larger parameters.