Abstract
Noteworthiness of double-diffusive convection with nanofluids by induced magnetic field and diverse wave shapes for peristaltic stream of Williamson fluid in a uniform channel has been theoretically examined. Mathematical formulation of two-directional and two-dimensional flow of a Williamson fluid model is explained in detail. The exact solutions of nanoparticles are described. Perturbation solutions of nonlinear PDEs are also calculated. Numerical and graphical results are displaced to see the conduct of temperature, concentration, nanoparticle volume fraction, pressure rise, pressure gradient, magnetic force function and stream functions. It is concluded that the profile of temperature increases and profile of concentration decreases by increasing values of Brownian motion parameter $$ N_{\text{b}} $$ , thermophoresis parameter $$ N_{\text{t}} $$ , Dufour parameter $$ N_{TC} $$ and Soret parameter $$ N_{CT} $$ .
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