Peristaltic transport of bi-viscosity fluids through a curved tube : a mathematical model for intestinal flow
Tripathi, D, Akbar, NS, Khan, ZH and Beg, OA 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: J, 230 (9) , pp. 817-828.
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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.
|Schools:||Schools > School of Computing, Science and Engineering > Salford Innovation Research Centre (SIRC)|
|Journal or Publication Title:||Proceedings of the Institution of Mechanical Engineers, Part H: J|
|Funders:||Non funded research|
|Depositing User:||WM Taylor|
|Date Deposited:||20 Sep 2016 10:10|
|Last Modified:||20 Sep 2016 10:10|
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