Peristalsis of Nanofluids via an Inclined Asymmetric Channel with Hall Effects and Entropy Generation Analysis

This study deals with the entropy investigation of the peristalsis of a water–copper
nanofluid through an asymmetric inclined channel. The asymmetric channel is anticipated to be
filled with a uniform permeable medium, with a constant magnetic field impinging on the wall of
the channel. The physical effects, such as Hall current, mixed convection, Ohmic heating, and heat
generation/annihilation, are also considered. Mathematical modeling from the given physical de-
scription is formulated while employing the “long wavelength, low Reynolds number” approxima-
tions. Analytical and numerical procedures allow for the determination of flow behavior in the re-
sulting system, the results of which are presented in the form of tables and graphs, in order to facil-
itate the physical analysis. The results indicate that the growth of nanoparticle volume fraction cor-
responds to a reduction in temperature, entropy generation, velocity, and pressure gradient. The
enhanced Hall and Brinkman parameters reduce the entropy generation and temperature for such
flows, whereas the enhanced permeability parameter reduces the velocity and pressure gradient
considerably. Furthermore, a comparison of the heat transfer rates for the two results, for different
physical parameters, indicates that these results agree well. The significance of the underlying study
lies in the fact that it analyzes the peristalsis of a non-Newtonian nanofluid, where the rheological
characteristics of the fluid are predicted using the Carreau-Yasuda model and by considering the
various physical effects.