In recent papers, Mehdi Lachiheb has considered fluid viscosity through a peristaltic tube and a channel as a function of the radial and axial components. This author discussed the trapping phenomenon at the centerline of a peristaltic tube and a channel, the pressure rise, and the drag (friction) forces without a magnetic field. Considering the importance of magnetohydrodynamic fluids in bioengineering and medical sciences, we discussed the effects of bivariation viscosity and magnetic field on the trapping phenomenon at the centerline, separated flow on the wall surface of the peristaltic tube, the drag (friction) forces, and the pressure rise. To solve the problem under low Reynolds and long wavelength assumptions, the velocity field and pressure gradient as functions of Hartmann number, amplitude ratio, viscosity parameter, and volume flow rate were obtained using the perturbation approach in terms of Hartmann number (M < 1). The peristaltic pumping and augmented pumping regions were discussed through drag (friction) forces and the pressure rising. In addition, separation flow points on the surface of the wall were determined numerically.
T. Eldabe, N.; M. Abo-Seida, O.; E. Abd El Naby, A.; and Ibrahim, M.
"Effects of Bivariation Viscosity and Magnetic Field on Trapping in a Uniform Tube with Peristalsis,"
Information Sciences Letters: Vol. 11
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Available at: https://digitalcommons.aaru.edu.jo/isl/vol11/iss6/11