Abstract
In the present study we have discussed the influence of lateral walls on peristaltic flow of a third grade fluid in a rectangular duct. The mathematical equations of the third grade fluid for the rectangular duct are first modeled and then simplified under the assumptions of long wave length and low Reynolds number approximation. The reduced equations are solved analytically using Homotopy perturbation method and the Eigen function expansion method. The graphical results of the present problem are also discussed to see the effects of various emerging parameters. It is observed that with an increase in third grade parameter the pressure rise, pressure gradient and number of the trapping bolus decreases.
Highlights
Experimental and theoretical research in peristaltic flows has received increased attention during the past several decades
It is observed that the pressure rise increases with an increase in the retrograde pumping and free regions, while in the copumping region the pressure rise decreases with an increase in amplitude ratio φ
The pressure rise increases with an increase in amplitude ratio in the retrograde pumping and free pumping regions, while in the copumping region the pressure rise decreases with an increase in amplitude ratio
Summary
Experimental and theoretical research in peristaltic flows has received increased attention during the past several decades. It is depicted that for x ∈[0, 0.2] and x ∈[0.8, 1] , the pressure gradient is small i.e., the flow can pass without imposition of a large pressure gradient, while in the region x ∈[0.2, 0.8] , pressure gradient increases with an increase in dp/dx
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