Mathematical modelling for peristaltic transport of non-newtonian fluid through inclined non-uniform channel under the effect of surface roughness

The effect of surface roughness on the peristaltic motion of a non-Newtonian Jeffery fluid down a non-uniform inclined channel was carried out, and the analysis has been investigated in two-dimensional channel Cartesian co-ordinates by using a low Reynolds number and a long-wavelength approximation, the governing equations (continuity, motion, and temperature) were modeled and then simplified. Mathematica 11.3 was used to find an analytical solution for the fluid flow i.e. fluid velocity, temperature, pressure gradient, pressure rise, and flow streamlines. The impact of interesting included parameters on axial velocity, stream function, temperature, pressure gradient, and pressure rise is graphically described.