Boundary layer analysis of micropolar dusty fluid with TiO2 nanoparticles in a porous medium under the effect of magnetic field and thermal radiation over a stretching sheet

This paper analyzed the boundary layer flow and heat transfer of an incompressible TiO2-water nanoparticle on micropolar fluid with homogeneously suspended dust particles in the presence of thermal radiation. Since the nanoparticles have high thermal conductivity coefficient compared to base fluids, so their distribution leads to an increase in the thermal conductivity of the fluids and they are considered to be the main parameters of heat transfer. In the,following, nonlinear equations that can describe this problem are presented in this article. These nonlinear equations are numerically analyzed using the Runge-Kutta-Fehlberg method in MAPLE software. The main goal of this paper is to study and analyze the behavior of the velocity profile in two phases of liquid and dust for different values of parameters suction/injection (f(0)), mass concentration (L), Material (R), Penetrable (K-p), Magnetic (M), Solid volume fraction (phi), fluid particle interaction (beta) and also temperature profile effectiveness from radiation parameter (Nr) changes, Eckert number (Ec), Prandtl number (Pr) in two PST and PHF cases for both fluid and dust phases, in which dual behavior of the velocity profile compared to the beta changes in the fluid and dust phases and also Lorentz force generated by the magnetic field is also mentioned. Finally, the effect of changes of K-p and M in the presence of beta on the coefficient of surface friction, the effect of Ec changes in the presence of Nr and Pr changes in the presence of beta on the Nusselt number in two PST and PHF cases and also R changes in the presence of f(0), beta and M on couple stress has been investigated and analyzed. (C) 2017 Elsevier B.V. All rights reserved.