Numerical treatments for peristaltic transport of Johnson‐Segalman nanofluid through a vertical divergence irregular channel in the presence of inclined magnetic field and double‐diffusive

Abstract This paper presents a computational study for the peristaltic pumping within vertical irregular divergence channels filled with magnetic Johnson—Segalman nanofluid. Various configurations of the outer boundaries are considered, namely, square wave, multi‐sinusoidal wave, trapezoidal wave, and triangular wave. An inclined magnetic field together with nanoparticles and mass concentrations is considered. Influences of the Dufour and Soret numbers are examined, and the cases of low Reynolds number and long wavelength are applied. All the computations are obtained numerically using Mathematica symbolical software (ND‐Solve), and the obtained results are presented in terms of the axial velocity , heat transfer rate , nanoparticle fraction profile , concentration profile , temperature profile , extra stress tensor , pressure gradient , pressure rise , and stream function . The major outcomes revealed that the square wave shape gives higher pressure gradients near the inlet and outlet parts while the multi‐sinusoidal wave gives periodic behaviors of . Also, the maximizing in thermophoresis parameter is better to obtain a higher rate of heat transfer while the increase in thermo‐diffusion and diffusion thermo effects causes a reduction in the rate of heat transfer. The discipline of biological and medical engineering, particularly for nanofluid peristaltic pumps, can benefit from the practical uses of such a model, which can be used to simulate the small vessel transport of particles in hemodynamics.