Abstract
Peristaltic flow of a nanofluid in an endoscope in the Jeffrey fluid model is analyzed. The flow is modeled in both fixed and wave frame of reference. The peristaltic wave moves with the speed c. The Jeffrey fluid model equations for the nanofluid are derived for the first time in the peristaltic literature. Energy and nanoparticle equations are coupled so that their exact solution is not possible and we have used the homotopy perturbation method (HPM) for temperature and nanoparticle equations, while exact solutions have been calculated for the velocity profile and pressure gradient. The expression of the pressure gradient is quite complicated, therefore to plot the pressure rise and frictional forces, numerical integration has been performed. The effects of various emerging parameters i.e., the amplitude ratio phi, thermophoresis parameter N-t, Jeffrey fluid parameter l(1), and the Brownian motion parameter N-b have been discussed for pressure rise, friction forces, pressure gradient, temperature profile, nanoparticle phenomena, and streamlines.