Combined effects of Hall and ion-slip currents and heat transfer on peristaltic transport of a copper–water nanofluid

This work has looked at theoretically the peristaltic transport of copper–water nanofluid across an asymmetric horizontal channel with a constant applied magnetic field. Heat transfer and Hall and ion-slip currents are also taken into account. Long wave length and low Reynolds number are presumptions used in mathematical modeling. Exact analytic solutions for the present model are obtained. The expressions for the velocity field, stream function, pressure gradient, pressure rise, temperature distribution, and nanoparticle concentration are computed. The trapping phenomena have been also discussed. Graphics were used in the research to demonstrate how various factors impact the flow quantities of interest. According to the results, raising the Hall parameter or adding copper nanoparticles causes the base fluid velocity to increase at the channel’s center while decreasing toward the channel’s walls. Furthermore, it was found that, by increasing the magnitude of nanoparticle volume fraction or by adding copper nanoparticles, the Hall parameter has a diminishing influence on the pressure gradient, as well as on the temperature of the base fluid. In addition, the number of trapped boluses increases in the upper half of the channel as the Hall parameter, the volume fraction of nanoparticles, or the Grashof number increases. Exploring the combined effects of heat transfer, Hall and ion-slip currents, and peristaltic transport of a copper–water nanofluid is important for expanding our knowledge of basic science concepts related to fluid dynamics and heat transfer, as well as for real-world engineering and technological applications.