Peristaltic transport of bi-viscosity fluids through a curved tube : a mathematical model for intestinal flow

Tripathi, D; Akbar, NS; Khan, ZH; Beg, OA

Abstract

The human intestinal tract is a long curved tube constituting the final section of the digestive system in which nutrients and water are mostly absorbed. Motivated by the dynamics of chyme in the intestine, a mathematical model is developed to simulate the associated transport phenomena via peristaltic transport. Rheology of chyme is modelled using the Nakamura-Sawada bi-viscosity non-Newtonian formulation. The intestinal tract is considered as a curved tube geometric model. Low Reynolds number (creeping hydrodynamics) and long wavelength approximations are taken into consideration.Analytical solutions of the moving boundary value problem are derived for velocity field,pressure gradient and pressure rise. Streamline flow visualization is achieved with
Mathematica symbolic software. Peristaltic pumping phenomenon and trapping of the bolus are also examined. The influence of curvature parameter, apparent viscosity
coefficient (rheological parameter) and volumetric flow rate on flow characteristics is described. Validation of analytical solutions is achieved with a MAPLE17 numerical
quadrature algorithm. The work is relevant to improving understanding of gastric hydrodynamics and provides a benchmark for further computational fluid dynamics
(CFD) simulations.

Citation

Tripathi, D., Akbar, N., Khan, Z., & Beg, O. (2016). Peristaltic transport of bi-viscosity fluids through a curved tube : a mathematical model for intestinal flow. Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine, 230(9), 817-828. https://doi.org/10.1177/0954411916658318

• Journal Article Type: Article
• Acceptance Date: Apr 5, 2016
• Online Publication Date: Sep 14, 2016
• Publication Date: Sep 14, 2016
• Deposit Date: Sep 20, 2016
• Publicly Available Date: Sep 20, 2016
• Journal: Proceedings of the Institution of Mechanical Engineers, Part H: J
• Print ISSN: 0954-4119
• Electronic ISSN: 2041-3033
• Publisher: SAGE Publications
• Volume: 230
• Issue: 9
• Pages: 817-828
• DOI: https://doi.org/10.1177/0954411916658318
• Publisher URL: http://pih.sagepub.com/content/230/9/817.abstract
• Related Public URLs: https://uk.sagepub.com/en-gb/eur/proceed