A Mathematical Model for the Flow of a Casson Fluid due to Metachronal Beating of Cilia in a Tube
Joint Authors
Farooq, A. A.
Rana, M. A.
Siddiqui, Abdul Majid
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-02-19
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
A mathematical model is developed to study the transport mechanism of a Casson fluid flow inspired by the metachronal coordination between the beating cilia in a cylindrical tube.
A two-dimensional system of nonlinear equations governing the flow problem is formulated by using axisymmetric cylindrical coordinates and then simplified by employing the long wavelength and low Reynolds number assumptions.
Exact solutions are derived for the velocity components, the axial pressure gradient, and the stream function.
However, the expressions for the pressure rise and the volume flow rate are evaluated numerically.
The features of the flow characteristics such as pumping and trapping are illustrated and discussed with the help of graphs.
It is observed that the volume flow rate is influenced significantly by the width of plug flow region Hp as well as the cilia length parameter ε.
The analysis is also applied and compared with the estimated value of the volume flow rate of epididymal fluid in the ductus efferentes of the human male reproductive tract.
American Psychological Association (APA)
Siddiqui, Abdul Majid& Farooq, A. A.& Rana, M. A.. 2015. A Mathematical Model for the Flow of a Casson Fluid due to Metachronal Beating of Cilia in a Tube. The Scientific World Journal،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1078826
Modern Language Association (MLA)
Siddiqui, Abdul Majid…[et al.]. A Mathematical Model for the Flow of a Casson Fluid due to Metachronal Beating of Cilia in a Tube. The Scientific World Journal No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1078826
American Medical Association (AMA)
Siddiqui, Abdul Majid& Farooq, A. A.& Rana, M. A.. A Mathematical Model for the Flow of a Casson Fluid due to Metachronal Beating of Cilia in a Tube. The Scientific World Journal. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1078826
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1078826