J4 ›› 2015, Vol. 12 ›› Issue (4): 643-655.doi: 10.1016/S1672-6529(14)60154-2
DTM Simulation of Peristaltic Viscoelastic Biofluid Flow in Asymmetric Porous Media: A Digestive Transport Model
Dharmendra TripathiP1P, Osman Anwar BégP2P, Praveen Kumar GuptaP3P, Ganjam RadhakrishnamacharyaP4P,Jagannath MazumdarP5P
- 1. Department of Mechanical Engineering, Manipal University Jaipur, Jaipur 303007, India
2. Gort Engovation-Bio-Propulsion Research, Gabriel’s Wing House, Bradford BD6 1FA, UK
3. Department of Mathematics, National Institute of Technology Silchar, Silchar 788010, India
4. Department of Mathematics, National Institute of Technology, Warangal 506004, India
5. School of Electrical &|Electronic Engineering, The University of Adelaide, Adelaide SA 5005, Australia
DTM Simulation of Peristaltic Viscoelastic Biofluid Flow in Asymmetric Porous Media: A Digestive Transport Model
Dharmendra TripathiP1P, Osman Anwar BégP2P, Praveen Kumar GuptaP3P, Ganjam RadhakrishnamacharyaP4P,Jagannath MazumdarP5P
- 1. Department of Mechanical Engineering, Manipal University Jaipur, Jaipur 303007, India
2. Gort Engovation-Bio-Propulsion Research, Gabriel’s Wing House, Bradford BD6 1FA, UK
3. Department of Mathematics, National Institute of Technology Silchar, Silchar 788010, India
4. Department of Mathematics, National Institute of Technology, Warangal 506004, India
5. School of Electrical &|Electronic Engineering, The University of Adelaide, Adelaide SA 5005, Australia
摘要：
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.