Peristaltic flow and heat transfer of nanofluids in a sinusoidal wall channel: two-phase analytical study

In this study, two-phase peristaltic nanofluid flow in two-dimensional wavy channel is modeled and the heat transfer analysis is performed for it. Both upper and lower channel walls are considered in a wavy shape by sinusoidal function. The governing equations are presented for the nanofluid based on the Buongiorno model and two analytical methods (least square method and differential transformation method). Maple 15.0 mathematical software is applied as the efficient solution methods for the governing equation. The effect of some parameters present in the governing equations (Brownian motion parameter, thermophoresis parameters, Grashof numbers and amplitude ratio of wavy channel), are discussed in terms of velocities, temperature and nanoparticles concentration functions. An important finding in this study is that, in order to have more nanoparticles concentration around the sinusoidal walls, thermophoresis parameter must be in lower values and vice versa.