Abstract : Casson fluid, which is expected to flow in a non-uniform inclined channel, has been modeled to exhibit peristaltic motion. The channel wall should be lined with a non-erodible porous substance. It is assumed that the flow is taking place within a wave frame of reference and is travelling at the same velocity as a sinusoidal wave. It is possible to get analytical solutions for the variables of velocity, stream function, pressure gradient, pressure differential, and frictional force. Using MATLAB, graphs are displayed to illustrate the results of the velocity, stream function, and pressure gradient in relation to the axial displacement. As the Darcy number rises, it is observed that the velocity field, the velocity in the plug flow region, and the stream function all rises as well. It has also been observed that the same performance measurements get worse when the slip effect and porous thickening get worse. It can be observed that the pressure gradient lowers when the Darcy number, slip effect, porous thickening, and yield stress all increase, however the pressure gradient increases when the angle of inclination increases.
Cite : Singh, U. R., & Shanker, U. (2023). Analytical And Numerical Solution for Peristaltic Motion of a Casson Fluid Considering Slip Effects (1st ed., pp. 120-125). Noble Science Press. https://doi.org/10.52458/9789388996587.2023.eb.ch25
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