Analytical Assessment of MHD Flow of Nanoliquid Subject to Thermal Radiation and Brownian Effect

Abstract

This manuscript studies the impact of the heat and mass flow and chemical reaction with electromagnetic field and heat flow of non-Newtonian Walter-B nanofluid via the uniform magnetic field. A mathematical model is used to simulate the arisen nonlinear partial differential equations (PDEs). By employing the suitable transformations, the system of PDEs is then transformed to a nonlinear system of ordinary differential equations (ODEs). The impact of the pertinent parameters on the velocity profile, energy, and concentration distribution has been discussed. These nonlinear coupled equations were addressed analytically by implementing an efficient and validated analytical method, where Mathematica 11.0 programming code is established for simulating the flow system. Stability and convergence analysis have been performed in order to improve the accuracy of the flow system. In order to gain physical insight, the effects of dimensionless parameters on flow fields are investigated. In addition, the impression of system parameters on skin-friction, heat transfer coefficient, and mass flow rate profiles is also debated.