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DTM Simulation of Peristaltic Viscoelastic Biofluid Flow in Asymmetric Porous Media： A Digestive Transport Model

Journal of Bionic Engineering 2015年第4期12卷 643-655页

作者： Dharmendra Tripathi Osman Anwar Beg Praveen Kumar Gupta Ganjam Radhakrishnamacharya jagannath mazumdar Department of Mechanical Engineering Manipal University Jaipur Jaipur 303007 India Gort Engovation-Bio-Propulsion Research Gabriel's Wing House Bradford BD6 1FA UK Department of Mathematics National Institute of Technology Silchar Silchar 788010 India Department of Mathematics National Institute of Technology Warangal 506004 India School of Electrical & Electronic Engineering The University of Adelaide Adelaide SA 5005 Australia

A biofluid dynamics mathematical model is developed to study peristaltic flow of non-Newtonian physiological liquid in a two-dimensional asymmetric channel containing porous media as a simulation of obstructed digestive （intestinal） transport. The fractional Oldroyd-B viscoelastic rheological model is utilized. The biophysical flow regime is constructed as a wave-like motion and porous medium is simulated with a modified Darcy-Brinkman model. This model is aimed at describing the diges- tive transport in intestinal tract containing deposits which induce impedance. A low Reynolds number approximation is em- ployed to eliminate inertial effects and the wavelength to diameter ratio is assumed to be large. The differential transform method （DTM）, a semi-computational technique is employed to obtain approximate analytical solutions to the boundary value problem. The influences of fractional （rheological material） parameters, relaxation time, retardation time, amplitude of the wave, and permeability parameter on peristaltic flow characteristics such as volumetric flow rate, pressure difference and wall friction force are computed. The present model is relevant to flow in diseased intestines.

关键词： peristaltic transport fractional Oldroyd-B model porous medium differential transform method asymmetricchannel obstructed digestive flow

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