Effect of Suction and Injection on Peristaltic Flow of a Jeffrey Nano Fluid Through a Vertical Channel with Saffman Slips Condition at the Flexible Walls

The peristaltic flow mechanism has recently gained special status among modern scientists, because of its wide range of uses in engineering and biomechanics, an object or medium is forced to move by a type of wave gesticulation called peristaltic transport that develops in tubular structures. Multiple physiological liquids are transported using this natural process. The Jeffrey fluid model, which exhibits viscoelastic (linear) properties and gives rise to non-linear viscoelastic liquid considerations, has been explored by many researchers to examine various rheological properties. It became important, especially in the lungs, to analyze how physiological fluid, like blood, moves through absorbent walls. The current study investigates the effect of suction and injection on the peristaltic flow of a Jeffrey nanofluid through a vertical channel with Saffman slip condition at the flexible walls. After establishing the governing conservation equations, the resulting flow model is effectively simulated using the realistic assumptions of a long wavelength and a low Reynolds number. The temperature distributions, velocity, pressure rate per wavelength, and nanoparticles concentration of the resulting flow problem have been solved analytically. The effects of all physical factors on temperature, velocity, concentration fields, pressure rate, frictional force, and pressure gradient are graphically examined using Wolfram MATHEMATICA software. By raising the parameter of Brownian motion parameter and Grashof number values, the pressure rate is enhanced. The pressure rise is reduced by increasing the Jeffrey nanofluid parameter and the thermophoresis parameters values. In the case of frictional force, the opposite behavior is noticed.