Influence of Lateral Walls on Peristaltic Flow of a Third Grade Fluid in a Rectangular Duct

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.

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