This analysis communicates the thermophoretic and Brownian motion aspects in magneto-peristalsis with variable viscosity characteristics of viscous material. The magnetic and porosity characteristics of Darcy and Darcy–Forchheimer are considered. Mixed convection is taken in momentum equation via thermal and concentration coefficients. Viscosity is engaged as a variable function of temperature. Moreover, thermal radiation, viscous dissipation and Joule heating aspects are taken into heat equation. Mass equation is discussed in the presence of chemical reaction. Boundary constraints for velocity are taken as the second-order convective condition for heat, and heat mass flux effects are also present. Irreversibility phenomenon is discussed via entropy and Bejan number. Flow modeling is simplified through large wavelength and low Reynolds number assumptions. The dimensionless simplified system of coupled equations is solved numerically. Numerical solution of the system is acquired via built-in shooting procedure. It is noticed that velocity depicts the opposite behavior at center and channel boundary. Chemical reaction enhances the fluid concentration at center, while heat and mass transfer rates have opposite behaviors for thermophoresis and Brownian motion. The present results are beneficial to study the entropy generation with various non-Newtonian nanofluid models. The present situation of the proposed problem occurs in various biological and engineering industries.
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