Finite Element Solutions for Non-Newtonian Pulsatile Flow in a Non-Darcian Porous Medium Conduit
The present analysis is motivated by the need to elucidate with more accuracy and sophistication the hydrodynamics of non-Newtonian flow via a channel containing a porous material under pulsating pressure gradient. A one-dimensional transient rheological model for pulsating flow through a Darcy-Forc...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
2007-07-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14690 |
| _version_ | 1811311274828496896 |
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| author | R. Bhargava H. S. Takhar S. Rawat Tasveer A. Bég O. Anwar Bég |
| author_facet | R. Bhargava H. S. Takhar S. Rawat Tasveer A. Bég O. Anwar Bég |
| author_sort | R. Bhargava |
| collection | DOAJ |
| description | The present analysis is motivated by the need to elucidate with more accuracy and sophistication the hydrodynamics of non-Newtonian flow via a channel containing a porous material under pulsating pressure gradient. A one-dimensional transient rheological model for pulsating flow through a Darcy-Forcheimmer porous channel is used. A modified Casson non-Newtonian constitutive model is employed for the transport fluid with a drag force formulation for the porous body force effects. The model is transformed and solved using a finite element numerical technique. Rheological effects are examined using a β parameter which vanishes in the limit (Newtonian flow). Velocity profiles are plotted for studying the influence of Reynolds number, Darcy number, Forchheimer number and the β (non-Newtonian) parameter. The channel considered is rigid with a pulsatile pressure applied via an appropriate pressure gradient term. The model finds applications in industrial filtration systems, pumping of polymeric fluids etc. |
| first_indexed | 2024-04-13T10:16:02Z |
| format | Article |
| id | doaj.art-20db97df8caa4a48af8cd8782587693c |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-04-13T10:16:02Z |
| publishDate | 2007-07-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-20db97df8caa4a48af8cd8782587693c2022-12-22T02:50:43ZengVilnius University PressNonlinear Analysis1392-51132335-89632007-07-0112310.15388/NA.2007.12.3.14690Finite Element Solutions for Non-Newtonian Pulsatile Flow in a Non-Darcian Porous Medium ConduitR. Bhargava0H. S. Takhar1S. Rawat2Tasveer A. Bég3O. Anwar Bég4Indian Institute of Technology, IndiaManchester Metropolitan University, UKIndian Institute of Technology, IndiaEngineering Mechanics and Earthquake Dynamics Research, UKLeeds Metropolitan University, UKThe present analysis is motivated by the need to elucidate with more accuracy and sophistication the hydrodynamics of non-Newtonian flow via a channel containing a porous material under pulsating pressure gradient. A one-dimensional transient rheological model for pulsating flow through a Darcy-Forcheimmer porous channel is used. A modified Casson non-Newtonian constitutive model is employed for the transport fluid with a drag force formulation for the porous body force effects. The model is transformed and solved using a finite element numerical technique. Rheological effects are examined using a β parameter which vanishes in the limit (Newtonian flow). Velocity profiles are plotted for studying the influence of Reynolds number, Darcy number, Forchheimer number and the β (non-Newtonian) parameter. The channel considered is rigid with a pulsatile pressure applied via an appropriate pressure gradient term. The model finds applications in industrial filtration systems, pumping of polymeric fluids etc.http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14690hydromechanicspulsatilerheologicalnon-Darcian porous mediumfinite element solutionReynolds number |
| spellingShingle | R. Bhargava H. S. Takhar S. Rawat Tasveer A. Bég O. Anwar Bég Finite Element Solutions for Non-Newtonian Pulsatile Flow in a Non-Darcian Porous Medium Conduit Nonlinear Analysis hydromechanics pulsatile rheological non-Darcian porous medium finite element solution Reynolds number |
| title | Finite Element Solutions for Non-Newtonian Pulsatile Flow in a Non-Darcian Porous Medium Conduit |
| title_full | Finite Element Solutions for Non-Newtonian Pulsatile Flow in a Non-Darcian Porous Medium Conduit |
| title_fullStr | Finite Element Solutions for Non-Newtonian Pulsatile Flow in a Non-Darcian Porous Medium Conduit |
| title_full_unstemmed | Finite Element Solutions for Non-Newtonian Pulsatile Flow in a Non-Darcian Porous Medium Conduit |
| title_short | Finite Element Solutions for Non-Newtonian Pulsatile Flow in a Non-Darcian Porous Medium Conduit |
| title_sort | finite element solutions for non newtonian pulsatile flow in a non darcian porous medium conduit |
| topic | hydromechanics pulsatile rheological non-Darcian porous medium finite element solution Reynolds number |
| url | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14690 |
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