Peristaltic flow of a Sisko fluid over a convectively heated surface with viscous dissipation

We have analyzed the peristaltic flow of the mathematical model for a non-Newtonian Sisko fluid in the presence of a magnetic field and the heat transfer problem with the effects of both variable thermal conductivity and viscous dissipation. The governing equations of a non-Newtonian fluid along with heat and nanoparticles are modeled and simplified by the assumption of a low Reynolds number and a long wavelength. The velocity equation is solved by use of the homotopy perturbation technique, while the exact solutions are computed for temperature and concentration equations. The solutions depend on the Brinkman number (B-x) and magnetohydrodynamics (M). The expressions obtained for the velocity, temperature, and concentration profiles are plotted, and the impact of various physical parameters is investigated for different peristaltic waves. We found that temperature, concentration, and pressure gradient are increasing functions of the Sisko parameter b, Brinkman number (B-K), and magnetohydrodynamics (M), respectively.