Analytical Analysis of Peristaltic Flow of a 6 Constant Jeffreys Model of Fluid in an Inclined Planar Channel
In this article we have explored the peristaltic flow of an incompressible six constant Jeffreys model of fluid in an inclined planar channel. The flow is examined in a wave frame of reference moving with the velocity of the wave. The governing equations of 6 constant Jeffreys model of fluid for 2 d...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Walailak University
2013-06-01
|
| Series: | Walailak Journal of Science and Technology |
| Subjects: | |
| Online Access: | http://wjst.wu.ac.th/index.php/wjst/article/view/321 |
| _version_ | 1811276166747652096 |
|---|---|
| author | Safia AKRAM Sohail NADEEM |
| author_facet | Safia AKRAM Sohail NADEEM |
| author_sort | Safia AKRAM |
| collection | DOAJ |
| description | In this article we have explored the peristaltic flow of an incompressible six constant Jeffreys model of fluid in an inclined planar channel. The flow is examined in a wave frame of reference moving with the velocity of the wave. The governing equations of 6 constant Jeffreys model of fluid for 2 dimensional flows are first modeled and then simplified under the assumptions of the lubrication approach. The solutions of highly non linear equations are calculated using analytical and numerical techniques. Numerical integration is carried out to calculate the expression of pressure rise and pressure gradient. The graphical results are presented to see the effects of various emerging parameters of interest.
doi:10.14456/WJST.2014.34 |
| first_indexed | 2024-04-12T23:51:39Z |
| format | Article |
| id | doaj.art-96757c18eed74c2ca0d5b5b8dfbf4dbf |
| institution | Directory Open Access Journal |
| issn | 1686-3933 2228-835X |
| language | English |
| last_indexed | 2024-04-12T23:51:39Z |
| publishDate | 2013-06-01 |
| publisher | Walailak University |
| record_format | Article |
| series | Walailak Journal of Science and Technology |
| spelling | doaj.art-96757c18eed74c2ca0d5b5b8dfbf4dbf2022-12-22T03:11:40ZengWalailak UniversityWalailak Journal of Science and Technology1686-39332228-835X2013-06-0111210.2004/wjst.v11i2.321Analytical Analysis of Peristaltic Flow of a 6 Constant Jeffreys Model of Fluid in an Inclined Planar ChannelSafia AKRAM0Sohail NADEEM1Department of Basic Sciences, MCS, National University of Sciences and Technology, Rawalpindi 46000Department of Mathematics, Quaid-i-Azam University, Islamabad 44000In this article we have explored the peristaltic flow of an incompressible six constant Jeffreys model of fluid in an inclined planar channel. The flow is examined in a wave frame of reference moving with the velocity of the wave. The governing equations of 6 constant Jeffreys model of fluid for 2 dimensional flows are first modeled and then simplified under the assumptions of the lubrication approach. The solutions of highly non linear equations are calculated using analytical and numerical techniques. Numerical integration is carried out to calculate the expression of pressure rise and pressure gradient. The graphical results are presented to see the effects of various emerging parameters of interest. doi:10.14456/WJST.2014.34http://wjst.wu.ac.th/index.php/wjst/article/view/321Peristaltic flowsix constant Jeffreys model of fluidinclined planar channelanalytical and numerical solution |
| spellingShingle | Safia AKRAM Sohail NADEEM Analytical Analysis of Peristaltic Flow of a 6 Constant Jeffreys Model of Fluid in an Inclined Planar Channel Walailak Journal of Science and Technology Peristaltic flow six constant Jeffreys model of fluid inclined planar channel analytical and numerical solution |
| title | Analytical Analysis of Peristaltic Flow of a 6 Constant Jeffreys Model of Fluid in an Inclined Planar Channel |
| title_full | Analytical Analysis of Peristaltic Flow of a 6 Constant Jeffreys Model of Fluid in an Inclined Planar Channel |
| title_fullStr | Analytical Analysis of Peristaltic Flow of a 6 Constant Jeffreys Model of Fluid in an Inclined Planar Channel |
| title_full_unstemmed | Analytical Analysis of Peristaltic Flow of a 6 Constant Jeffreys Model of Fluid in an Inclined Planar Channel |
| title_short | Analytical Analysis of Peristaltic Flow of a 6 Constant Jeffreys Model of Fluid in an Inclined Planar Channel |
| title_sort | analytical analysis of peristaltic flow of a 6 constant jeffreys model of fluid in an inclined planar channel |
| topic | Peristaltic flow six constant Jeffreys model of fluid inclined planar channel analytical and numerical solution |
| url | http://wjst.wu.ac.th/index.php/wjst/article/view/321 |
| work_keys_str_mv | AT safiaakram analyticalanalysisofperistalticflowofa6constantjeffreysmodeloffluidinaninclinedplanarchannel AT sohailnadeem analyticalanalysisofperistalticflowofa6constantjeffreysmodeloffluidinaninclinedplanarchannel |