A study of thermal and nonlinear radiative aspects in peristalsis of Cu–H2O through compliant wall conduits

Insertion of nanoparticles in ordinary materials to examine the performance of their improved thermal abilities in the fluid flow is the hot topic of the present period of scientific research. In addition, various engineering, physiological, and medical applications, e.g., heat exchangers, hybrid vehicles, war arms, drug deliveries, and different medicines of nanoparticles, are evident. Peristaltic mechanism has a vital role as a material carrier in various engineering and physiological processes. Thus, this attempt is accounted to study the nanoparticles flow via a rotating peristaltic channel in the presence of magnetohydrodynamics and compliant walls aspects. In addition, the effects of slip, Hall, heat generation/absorption, and non-linear thermal radiation are also considered. Furthermore, the flow equations are modeled using the definition of conservation laws. Expression for effective and base quantities of nanoparticles is also mentioned. The flow formulation is reduced by incorporating a low Reynolds number approximation and higher wavelength assumption. The obtained reduced system of equation is handled through a numerical procedure called the shooting algorithm. Then, the obtained solution is used to plot the behavior of quantities of interest against present dimensionless parameters. The obtained result indicates that axial and secondary velocities face negligible resistance for higher wall elastic properties, and thus, velocities enhance where the wall damping property produces maximum resistance to the flow with decay in both velocities. The second-order axial velocity slip parameter disturbs the symmetry of the velocity field. Due to the higher volume fraction of copper nanoparticles, a huge collision between particles is evident, as a response both axial and secondary velocities decay, and temperature enhances because of larger amount of collision. For higher radiation effects, the rate of heat transfer is maximum due to which the system’s temperature declines.