The peristaltic motion is modeled for the Herschel Bulkley fluid, considered to flow in a non-uniform inclined channel. The channel wall is supposed to be lined with a non-erodible porous material. The flow is considered to be moving in a wave frame of reference moving with same velocity as of the sinusoidal wave. Low Reynolds number and long wave length assumptions are made to solve the model. Analytical solution is obtained for the pressure difference and also for the frictional force. Graphs are plotted, using Mathematica software, for both the results of pressure difference and frictional force against time average velocity. We observe that increasing the porous thickening, increases the pressure difference while, it decreases the frictional force. It is seen that the behavior of the pressure difference is opposite to the behavior of the frictional force for all the parameters considered.
Sankad, G. C. and Patil, Asha
Impact of Permeable Lining of the Wall on the Peristaltic Flow of Herschel Bulkley Fluid,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 11,
2, Article 11.
Available at: https://digitalcommons.pvamu.edu/aam/vol11/iss2/11