Numerical simulation for peristaltic activity of Sutterby fluid with modified Darcy’s law
The current work examines the peristaltic flow of Sutterby fluid in a planar symmetric channel. Electrically conducting fluid is considered via imposed magnetic field. An incompressible Sutterby fluid saturates the porous medium. Modified Darcy’s law has been employed for the porous medium effect. T...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2017-01-01
|
| Series: | Results in Physics |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379716305630 |
| _version_ | 1819227447282892800 |
|---|---|
| author | T. Hayat S. Ayub A. Alsaedi A. Tanveer B. Ahmad |
| author_facet | T. Hayat S. Ayub A. Alsaedi A. Tanveer B. Ahmad |
| author_sort | T. Hayat |
| collection | DOAJ |
| description | The current work examines the peristaltic flow of Sutterby fluid in a planar symmetric channel. Electrically conducting fluid is considered via imposed magnetic field. An incompressible Sutterby fluid saturates the porous medium. Modified Darcy’s law has been employed for the porous medium effect. The channel walls are compliant. Convective conditions of heat and mass transfer are imposed. Viscous dissipation and Joule heating are retained. Problem for large wavelength are numerically solved. The graphs are obtained for the velocity, temperature, concentration and heat transfer rate. Velocity and concentration profiles are observed to have opposite behavior for increasing Darcy number. It is found that the effect of Hartman number on the velocity and temperature profiles is similar. Further heat transfer coefficient strengthened when heat transfer Biot number is increased. Keywords: Chemical reaction, Modified Darcy’s law, Convective conditions, Numerical solutions, Sutterby fluid, Joule heating |
| first_indexed | 2024-12-23T10:41:32Z |
| format | Article |
| id | doaj.art-ceb434a84f6248e68dba25c91c466251 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-23T10:41:32Z |
| publishDate | 2017-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-ceb434a84f6248e68dba25c91c4662512022-12-21T17:50:10ZengElsevierResults in Physics2211-37972017-01-017762768Numerical simulation for peristaltic activity of Sutterby fluid with modified Darcy’s lawT. Hayat0S. Ayub1A. Alsaedi2A. Tanveer3B. Ahmad4Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan; NAAM Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan; Corresponding author.NAAM Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, PakistanNAAM Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaThe current work examines the peristaltic flow of Sutterby fluid in a planar symmetric channel. Electrically conducting fluid is considered via imposed magnetic field. An incompressible Sutterby fluid saturates the porous medium. Modified Darcy’s law has been employed for the porous medium effect. The channel walls are compliant. Convective conditions of heat and mass transfer are imposed. Viscous dissipation and Joule heating are retained. Problem for large wavelength are numerically solved. The graphs are obtained for the velocity, temperature, concentration and heat transfer rate. Velocity and concentration profiles are observed to have opposite behavior for increasing Darcy number. It is found that the effect of Hartman number on the velocity and temperature profiles is similar. Further heat transfer coefficient strengthened when heat transfer Biot number is increased. Keywords: Chemical reaction, Modified Darcy’s law, Convective conditions, Numerical solutions, Sutterby fluid, Joule heatinghttp://www.sciencedirect.com/science/article/pii/S2211379716305630 |
| spellingShingle | T. Hayat S. Ayub A. Alsaedi A. Tanveer B. Ahmad Numerical simulation for peristaltic activity of Sutterby fluid with modified Darcy’s law Results in Physics |
| title | Numerical simulation for peristaltic activity of Sutterby fluid with modified Darcy’s law |
| title_full | Numerical simulation for peristaltic activity of Sutterby fluid with modified Darcy’s law |
| title_fullStr | Numerical simulation for peristaltic activity of Sutterby fluid with modified Darcy’s law |
| title_full_unstemmed | Numerical simulation for peristaltic activity of Sutterby fluid with modified Darcy’s law |
| title_short | Numerical simulation for peristaltic activity of Sutterby fluid with modified Darcy’s law |
| title_sort | numerical simulation for peristaltic activity of sutterby fluid with modified darcy s law |
| url | http://www.sciencedirect.com/science/article/pii/S2211379716305630 |
| work_keys_str_mv | AT thayat numericalsimulationforperistalticactivityofsutterbyfluidwithmodifieddarcyslaw AT sayub numericalsimulationforperistalticactivityofsutterbyfluidwithmodifieddarcyslaw AT aalsaedi numericalsimulationforperistalticactivityofsutterbyfluidwithmodifieddarcyslaw AT atanveer numericalsimulationforperistalticactivityofsutterbyfluidwithmodifieddarcyslaw AT bahmad numericalsimulationforperistalticactivityofsutterbyfluidwithmodifieddarcyslaw |