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Peristaltic Creeping Flow of Power Law Physiological Fluids through a Nonuniform Channel with Slip Effect
M K Chaube1, D Tripathi2, O Anwar Bég3
1Department of Applied Mathematics, Echelon Institute of Technology, Faridabad 121002, India.
Applied Bionics and Biomechanics
|April 9, 2016
Summary
This study models non-Newtonian fluid flow in a peristaltic channel with varying amplitude and slip effects. Results offer insights into intestinal flow and biomimetic pump simulations.
Area of Science:
- Fluid dynamics
- Non-Newtonian fluid mechanics
- Biomedical engineering
Background:
- Peristaltic transport is crucial for biological systems like intestinal flow.
- Non-Newtonian fluids exhibit complex behaviors not captured by simple models.
- Understanding flow dynamics in non-uniform channels is essential for various applications.
Purpose of the Study:
- To mathematically analyze the creeping flow of a power-law non-Newtonian fluid.
- To investigate the influence of varying channel amplitude and slip effects on fluid flow.
- To explore applications in intestinal fluid transport and biomimetic pumps.
Main Methods:
- Mathematical modeling of fluid flow using the power-law model.
- Application of long wavelength and low Reynolds number approximations.
- Derivation of analytical expressions for velocity, stream function, and pressure.
- Numerical and graphical analysis using Mathematica.
Main Results:
- Obtained expressions for axial velocity, stream function, pressure gradient, and pressure difference.
- Analyzed the impact of slip, fluid behavior index, channel angle, and wave number on flow profiles.
- Visualized velocity profiles, pressure gradients, and trapping phenomena.
Conclusions:
- The developed model accurately describes non-Newtonian fluid flow in non-uniform peristaltic channels.
- Slip effects and channel geometry significantly alter flow characteristics.
- The findings are relevant for understanding chyme movement and designing advanced fluid handling systems.
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