Peristaltic transport of viscoelastic fluid in curved ducts with ciliated walls

Author:

Abbasi Aamar1ORCID,Danish Sherjeel1,Farooq Waseh1ORCID,Khan M. Ijaz2ORCID,Akermi Mehdi34ORCID,Hejazi Hala A5ORCID

Affiliation:

1. Department of Mathematics, University of Azad Jammu & Kashmir 1 , Muzaffarabad 13100, Pakistan

2. Department of Mechanical Engineering, Prince Mohammad Bin Fahd University 2 , P.O. Box 1664, Al-Khobar 31952, Kingdom of Saudi Arabia

3. Department of Physics Sciences, College of Science, Jazan University 3 , P.O. Box. 114, Jazan 45142, Kingdom of Saudi Arabia

4. Laboratory of Interfaces and Advanced Materials, University of Monastir, Faculty of Science, Boulevard of the Environment 4 , 5019 Monastir, Tunisia

5. Mathematical Sciences Department, College of Applied Sciences, Umm Al-Qura University 5 , Makkah, Saudi Arabia

Abstract

The transport of complex rheological fluids in physiological ducts is often facilitated by the dynamic phenomenon of peristalsis. Additionally, peristaltic transport assisted by cilia plays a significant role in various natural processes such as respiration, circulation, locomotion, and reproduction. This study focuses on magnetically induced flow bounded by non-uniform curved walls, motivated by the importance of peristalsis and micro-organism motility. To characterize the complex rheology of the fluid liner, a viscoelastic model described by the constitutive equation of Jeffrey's fluid is employed. The flow problem is mathematically formulated using curvilinear coordinates. Subsequently, linear transformations and scaling factors are applied to convert the equations into dimensionless form, while considering biotic restrictions such as creeping transport and long wavelength to reduce dependent variables. By utilizing the stream function and cross-differentiation, a fourth-order equation is obtained and numerically approximated using the shooting method. The effects of various parameters on the flow are illustrated through graphs, and a physical interpretation of the graphical results is provided. It is observed that ciliated walls of the channel enhance the velocity and pumping, while trapping phenomena are more pronounced in a non-uniform channel compared to a uniform channel.

Publisher

AIP Publishing

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3