Flow fields analysis of thermophoretics hydromagnetic third-grade non-newtonian nanofluids through porous cylinder with heat generation or absorption

Nanoparticles have benefited many areas of nanotechnologies such as drug development, water decontamination and information and communication technologies. High concentration of nanoparticles in a base fluid exhibits non- Newtonian behaviour. In this study, the velocity, temperature and nanoparticles concentration in a hydromagnetic non-Newtonian nanofluids flow of a third-grade in porous cylinder are investigated numerically in the presence of heat sources or sink. The heat generation/absorption rate is assumed to be linearly dependent on temperature. The governing system of mass, momentum, energy and nanoparticles concentration are formulated and transformed into a system of nonlinear ordinary differential equations by using suitable non-dimensional parameters. The solutions are obtained numerically by using the Runge-Kutta-Fehlberg method. The effects of porosity parameter, pressure gradient parameter, MHD parameter, third-grade parameter, Brownian motion parameter and thermophoretic parameter on velocity, temperature and nanoparticles concentration distribution in the presence of heat generation and heat absorption are analysed. The effects of heat generation and absorption on velocity, temperature and nanoparticles concentration are also observed.