Impact of double-diffusivity convection in nanofluids and induced magnetic field on peristaltic pumping of a Carreau fluid in a tapered channel with different waveforms

In the present article, importance of double-diffusivity convection in nanofluids on peristaltic pumping of Carreau fluid in tapered channel with induced magnetic field and different waveforms has been theoretically discussed. Mathematical modeling of the two-dimensional and two-directional flow of a Carreau fluid are described in detail. A well-known assumption (long wave length and low Reynolds numbers) are employed in order to find the exact and analytical solution of the proposed problem. Exact solutions of temperature, concentration, and nanoparticle volume fraction are computed. Perturbation technique is used to calculate the solutions of highly nonlinear partial differential equations. With the help of Mathematica software and MATLAB, graphical results are displaced to see the behavior of temperature, concentration, nanoparticle volume fraction, pressure rise, pressure gradient, magnetic force function, and stream functions. It is observed that temperature and concentration profile increases with an increase in N-b, N-t, N-CT, and N-TC.