MHD Peristaltic Pumping of a Jeffrey Fluid Between Two Deformable Coaxial Tubes with Different Wavelengths

The study of MHD peristaltic transport of a Jeffrey fluid through the gap between two deformable tubes has been investigated in this paper. The outer and the inner tubes have both sinusoidal waves travelling down their walls when the amplitudes and the wavelengths are different. The equations of motion are simplified under the assumption of long wavelengths and low Reynolds number approximations. Analytical solutions for the pressure rise and axial velocity has been obtained in the closed form. Effects of pertinent parameters on pressure gradient, pressure rise, axial velocity and mechanical efficiency have been discussed through graphs. The results show that we have two cases, the first one is Λ 1. It is found that an increase of Λ causes a decrease of the pumping and the mechanical efficiency when Λ 1 is observed. In addition and for the tw...