Metachronal wave form analysis on cilia-driven flow of non-Newtonain Phan-Thien-Tanner fluid model: A physiological mathematical model

被引：20

作者：

Akbar, Noreen Sher ^{[1
]}

Akhtar, Salman ^{[2
]}

机构：

[1] Natl Univ Sci & Technol, DBS & H, CEME, Islamabad, Pakistan

[2] Quaid I Azam Univ, Dept Math, Islamabad 45320, Pakistan

来源：

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART E-JOURNAL OF PROCESS MECHANICAL ENGINEERING | 2023年 / 237卷 / 06期

关键词：

Ciliary motion; planner channel; Phan-Thien-Tanner fluid; exact solutions; PERISTALTIC FLOW; NANOFLUID;

D O I：

10.1177/09544089221140703

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The Phan-Thien-Tanner non-Newtonian model of fluid flow is considered to mathematically model the cilia governed flow inside the human body. The collective action of cilia generates a rhythmic motion in form of metachronal wave traveling along the wall of channel. We have utilized the necessary assumptions to non-dimensionalize this complex problem and the exact solutions are obtained for the cilia governed flow problem. The graphical results are also incorporated to further discuss these solutions in detail. The wavy movements developed due to rhythmic actions of cilia are clearly evident in pressure gradient graphs. Further, a parabolic flow pattern is also observed in this ciliated channel flow problem. Streamlines disclose the trapping phenomenon and the multiple pumping regions can be seen in intrigued pressure rise graphical solutions.

引用

页码：2567 / 2573

页数：7

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