Numerical Investigation on Convective Flow of Two-Phase MHD Dusty Nanofluids over a Wavy Surface with Brownian Motion and Thermophoresis Effects

The emergence of dusty nanofluids as a area of nanoscale heat transfer in fluids is directly correlated to miniaturization trends and nano technology. So, the prime focus of this analyzation is to describe the model of heat and mass transfer phenomenons of two-phase magnetohydrodynamic dusty nanofluids over a vertical sinusoidal wavy surface. The significances of Brownian motion and thermophoresis effects have been considered in the model. The three various nanofluids namely Aluminium oxide ( Al_2O_3 )-water, Copper (Cu)-water and Titanium oxide ( TiO_2 )-water immersed with conducting dust particles are taken into consideration for flow analysis. Novel governing equations involving conservation of momentum, mass and thermal energy are subjected to irregular region and converted into non-dimensional form. The resultant equations are numerically approached by developing a finite difference technique with Newton’s quasilinearization method using mathematical software MATLAB. Dynamic characteristics of the flow with the effect of physical parameters associated with velocity, temperature and concentration distributions are interpreted through graphs to get some physical view into the flow patterns. Also, skin-friction coefficient, heat and mass transfer rate are calculated at the boundaries and the outcomes obtained are compared with existing literature.