A novel mathematical modeling with solution for movement of fluid through ciliary caused metachronal waves in a channel

被引：13

作者：

Khan, Wasim Ullah ^{[1
]}

Imran, Ali ^{[2
]}

Raja, Muhammad Asif Zahoor ^{[3
]}

Shoaib, Muhammad ^{[2
]}

Awan, Saeed Ehsan ^{[4
]}

Kausar, Khadija ^{[2
]}

He, Yigang ^{[1
]}

机构：

[1] Wuhan Univ, Sch Elect Engn & Automat, Wuhan 430072, Peoples R China

[2] COMSATS Univ Islamabad, Dept Math, Attock Campus,Kamra Rd, Attock, Pakistan

[3] Natl Yunl Univ Sci & Technol, Future Technol Res Ctr, 123 Univ Rd,Sect 3, Touliu 64002, Yunlin, Taiwan

[4] COMSATS Univ Islamabad, Dept Elect & Comp Engn, Attock Campus,Kamra Rd, Attock, Pakistan

来源：

SCIENTIFIC REPORTS | 2021年 / 11卷 / 01期

基金：

中国国家自然科学基金;

关键词：

POWER-LAW FLUID; PERISTALTIC TRANSPORT; FLOW;

D O I：

10.1038/s41598-021-00039-6

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页数：12