Peristaltic flow of a Jeffrey fluid in a rectangular duct having compliant walls

In this article, the theoretical and mathematical study of peristaltic transport of a Jeffrey fluid in a rectangular duct with compliant walls is discussed. The constitutive equations are simplified under the implementation of low Reynolds number and long wavelength approximations. The analytical...

Full description

Bibliographic Details
Main Authors: Nadeem S., Riaz Arshad, Ellahi R.
Format: Article
Language:English
Published: Association of the Chemical Engineers of Serbia 2013-01-01
Series:Chemical Industry and Chemical Engineering Quarterly
Subjects:
Online Access:http://www.doiserbia.nb.rs/img/doi/1451-9372/2013/1451-93721200075N.pdf
_version_ 1811261971554631680
author Nadeem S.
Riaz Arshad
Ellahi R.
author_facet Nadeem S.
Riaz Arshad
Ellahi R.
author_sort Nadeem S.
collection DOAJ
description In this article, the theoretical and mathematical study of peristaltic transport of a Jeffrey fluid in a rectangular duct with compliant walls is discussed. The constitutive equations are simplified under the implementation of low Reynolds number and long wavelength approximations. The analytical solution of the resulting equations is evaluated by Eigen function expansion method. The graphical aspects of all the parameters of interest are also analyzed. The graphs of velocity for two and three dimensional flow are plotted. The trapping bolus phenomenon is also discussed though streamlines.
first_indexed 2024-04-12T19:16:40Z
format Article
id doaj.art-2ccd3d87fd5143ae99703c49d477dcb8
institution Directory Open Access Journal
issn 1451-9372
2217-7434
language English
last_indexed 2024-04-12T19:16:40Z
publishDate 2013-01-01
publisher Association of the Chemical Engineers of Serbia
record_format Article
series Chemical Industry and Chemical Engineering Quarterly
spelling doaj.art-2ccd3d87fd5143ae99703c49d477dcb82022-12-22T03:19:43ZengAssociation of the Chemical Engineers of SerbiaChemical Industry and Chemical Engineering Quarterly1451-93722217-74342013-01-0119339940910.2298/CICEQ120402075NPeristaltic flow of a Jeffrey fluid in a rectangular duct having compliant wallsNadeem S.Riaz ArshadEllahi R.In this article, the theoretical and mathematical study of peristaltic transport of a Jeffrey fluid in a rectangular duct with compliant walls is discussed. The constitutive equations are simplified under the implementation of low Reynolds number and long wavelength approximations. The analytical solution of the resulting equations is evaluated by Eigen function expansion method. The graphical aspects of all the parameters of interest are also analyzed. The graphs of velocity for two and three dimensional flow are plotted. The trapping bolus phenomenon is also discussed though streamlines.http://www.doiserbia.nb.rs/img/doi/1451-9372/2013/1451-93721200075N.pdfperistaltic flowJeffrey fluidrectangular ductcompliant walls
spellingShingle Nadeem S.
Riaz Arshad
Ellahi R.
Peristaltic flow of a Jeffrey fluid in a rectangular duct having compliant walls
Chemical Industry and Chemical Engineering Quarterly
peristaltic flow
Jeffrey fluid
rectangular duct
compliant walls
title Peristaltic flow of a Jeffrey fluid in a rectangular duct having compliant walls
title_full Peristaltic flow of a Jeffrey fluid in a rectangular duct having compliant walls
title_fullStr Peristaltic flow of a Jeffrey fluid in a rectangular duct having compliant walls
title_full_unstemmed Peristaltic flow of a Jeffrey fluid in a rectangular duct having compliant walls
title_short Peristaltic flow of a Jeffrey fluid in a rectangular duct having compliant walls
title_sort peristaltic flow of a jeffrey fluid in a rectangular duct having compliant walls
topic peristaltic flow
Jeffrey fluid
rectangular duct
compliant walls
url http://www.doiserbia.nb.rs/img/doi/1451-9372/2013/1451-93721200075N.pdf
work_keys_str_mv AT nadeems peristalticflowofajeffreyfluidinarectangularducthavingcompliantwalls
AT riazarshad peristalticflowofajeffreyfluidinarectangularducthavingcompliantwalls
AT ellahir peristalticflowofajeffreyfluidinarectangularducthavingcompliantwalls