Impacts of couple stress with magnetic field and heat absorption on peristaltic flow of a power-law fluid containing nanoparticles

This paper deals with the mathematical examination of the arrangement of incomplete differential conditions which depict the peristaltic movement of a non-Newtonian nanofluid with couple stress through a symmetric channel with flexible walls. The fluid used obeys a power-law model. The system of the nondimensional form of momentum, heat, and concentration of the fluid flow is solved numerically by using a Rung–Kutta–Merson method with the appropriate boundary conditions after using the approximations of long wavelength and low Reynolds number. The obtained arrangements are elements of the physical boundaries of the problem. In this manner, the impacts of these boundaries on the velocity, temperature, and nanoconcentration distributions are concentrated mathematically and shown graphically through many figures. It is discovered that the physical boundaries play a significant role in controlling the arrangements, where the speed field diminishes with expansion of the attractive boundary, while it increments with expanding couple pressure and the non-Newtonian parameter of the non-Newtonian liquid. Additionally, the temperature and nanoconcentration changes with the Brownian parameter and thermophoresis. Moreover, the temperature distribution increases with increase of the magnetic parameter, Prandtl number, Eckert number, and heat source.