AI Article Synopsis
- The research develops a new mathematical model to describe cilia motion in a symmetric channel using a non-linear fluid, focusing on low Reynolds numbers and long wave lengths.
- The study applies analytical perturbation techniques and includes ciliary motion's role in fluid transport in animals, providing analytical expressions for key fluid properties.
- Numerical computations complement the analytical results, showcasing the relationship between various fluid dynamics metrics and validating the models through comprehensive analysis.
Article Abstract
In the present research, a novel mathematical model for the motion of cilia using non-linear rheological fluid in a symmetric channel is developed. The strength of analytical perturbation technique is employed for the solution of proposed physical process using mectachoronal rhythm based on Cilia induced flow for pseudo plastic nano fluid model by considering the low Reynolds number and long wave length approximation phenomena. The role of ciliary motion for the fluid transport in various animals is explained. Analytical expressions are gathered for stream function, concentration, temperature profiles, axial velocity, and pressure gradient. Whereas, transverse velocity, pressure rise per wave length, and frictional force on the wall of the tubule are investigated with aid of numerical computations and their outcomes are demonstrated graphically. A comprehensive analysis for comparison of Perturb and numerical solution is done. This analysis validates the analytical solution.
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| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC8523557 | PMC |
| http://dx.doi.org/10.1038/s41598-021-00039-6 | DOI Listing |
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