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Non-linear thermal radiation and magnetic field effects on the flow Carreau nanofluid with convective conditions

Qayyum Sajid (Quaid-I-Azam University, Department of Mathematics, Islamabad, Pakistan)
Hayat Tasawar (Quaid-I-Azam University, Department of Mathematics, Islamabad, Pakistan + King Abdulaziz University, Faculty of Science, Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Jeddah, Saudi Arabia)
Alsaedi Ahmed (King Abdulaziz University, Faculty of Science, Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Jeddah, Saudi Arabia)
Ahmad Bashir (King Abdulaziz University, Faculty of Science, Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Jeddah, Saudi Arabia)

Main features of the present analysis is to investigate the MHD non-linear mixed convection flow of Carreau nanofluid. Flow is due to stretching sheet with thermal and solutal convective conditions. Intention in present analysis is to develop a model for nanomaterial. The non-linear ordinary differential systems are obtained. Homotopy algorithm leads to solutions development. Velocity, temperature, nanoparticles concentration, surface drag force, and heat and mass transfer rate are displayed and argued. It is revealed that qualitative behaviors of velocity and layer thickness are reverse for material and magnetic parameters. Temperature field and heat transfer rate are similar observation for thermal Biot numbers. Moreover qualitative behaviors of nanoparticles concentration and mass transfer rate are reverse for larger Brownian motion.

Keywords: Carreau nanofluid, MHD, non-linear convection, non-linear thermal radiation, convective conditions