Biomathematical study of non‐Newtonian nanofluid in a diverging tube

The present article deals with the peristaltic flow of a nano‐Eyring Prandtl fluid model in a diverging tube. The governing equations for the considered model in view of the nanoparticles are presented in cylindrical coordinates using long wavelength and low Reynolds number approximation. The resulting nonlinear differential equations are solved for velocity, temperature, nanoparticle, and pressure gradient using the homotopy perturbation method. Numerical integration has been carried out for pressure rise, frictional forces, velocity, temperature, and nanoparticles. The numerical results are discussed through graphs. The effects of various emerging parameters are investigated for five different peristaltic waves. Streamlines have been plotted at the end of the article for the considered waveforms.