Numerical investigation on mixed convective peristaltic flow of fourth grade fluid with Dufour and Soret effects

• Mixed convective peristaltic flow of fourth grade fluid.
• Heat and mass transfer analysis is performed in the presence of Dufour and Soret effects.
• Numerical solutions are computed by Keller–box method.
• Solutions are validated with the built in solver NDSolve of the software Mathematica.

Heat and mass transfer analysis in the mixed convective peristaltic flow of fourth-grade fluid under viscous dissipation, Dufour and Soret effects is carried out. Mathematical model is formulated by incorporating long wavelength and low Reynolds number assumptions. The resulting coupled nonlinear boundary value problem (BVP) has been solved numerically by Keller–box method. The computations are validated through the built in routine for solving nonlinear boundary value problems via shooting method through the software Mathematica. The results indicate an increase in the pumping rate and a decrease in the temperature and concentration functions with an increase in the elastic parameter (Deborah number) for fourth grade fluid. The temperature and concentration are increasing functions of the buoyancy forces due to temperature and concentration gradients.