Mathematical modeling of blood flow in an annulus porous region between two coaxial deformable tubes: An advancement to peristaltic endoscope

• Published in: Chinese journal of physics (Taipei) Vol. 88; pp. 89 - 109
• Main Authors: Yadav, Pramod Kumar, Roshan, Muhammad
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.04.2024
• Subjects: Darcy resistance; Electromagnetohydrodynamics; Jeffery fluid; Peristaltic endoscope; Peristaltic flow; Porous medium; Jeffery fluid; Darcy resistance; Electromagnetohydrodynamics; Peristaltic endoscope; Peristaltic flow; Porous medium
• ISSN: 0577-9073
• DOI: 10.1016/j.cjph.2024.01.017

In the present work, the electromagnetohydrodynamic peristaltic flow of blood through an annulus region between two concentric circular tubes has been investigated for the advancement of a peristaltic endoscope. In this model, the viscous and incompressible blood is assumed as non-Newtonian Jeffery fluid, and tubes are inclined at an angle β with the horizontal. The governing equations for the considered problem are simplified under the assumption of a low Reynolds number and long wavelength approximations. An analytical expression for various flow variables such as axial velocity, radial velocity, time mean flow rate, volumetric flow rate, frictional force at the surface of the inner tube, and mechanical efficiency is obtained. In this work, we discussed the impact of various flow parameters like the Hartmann number M, electric field strength parameter H, Jeffery fluid parameter λ1, radius ratio n, occlusion ϕ=ba, angle of inclination β, and Darcy number Da on the above flow variables. The streamlines are also made to discuss the trapping phenomena of a fluid bolus inside the tubes. The comparison of pressure rise for the various endoscopes and the validation of the present result with the previously established results are discussed. [Display omitted] •Proposed a model of blood flow through peristaltic endoscope with Darcy resistance.•We analyze the impact of electric and magnetic field on the blood flow behavior. region.•We plotted streamlines to analyze blood flow pattern in the peristaltic endoscope.•We compared our model with rigid endoscope and without endoscope.•We validated our model with the previously published works.