Abstract
In this paper, the physical aspects of magneto hydrodynamics (MHD) Walters-B nanofluid flow over a nonlinear stretching sheet with variable thickness under effect of thermal radiation, heat generation/absorption and Joule heating are investigated. Thermophoresis phenomenon and Brownian motion are considered to modeling nanoparticles. Higher order non-linear expressions are converted to ordinary first-order differential equations and then solved using the Runge-Kutta Fehlberg (RKF 4.5) numerical method. The main view of this research is to investigate the effects of parameters and numbers in the problem on velocity, temperature and concentration profiles. Outputs show that: the velocity profile is reduced by increasing the Hartman number due to the Lorentz force in the opposite direction of flow. Temperature profile and local Nusselt number are increased by rising thermal radiation parameter. Also, the concentration profile has an inverse relation with Brownian motion parameter.
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