https://oldena.lpnu.ua/handle/ntb/39438| Title: | Linear stability analysis for the thermotactic microorganisms in porous media |
| Authors: | Alloui, Zineddine Nguyen-Quang, Tri |
| Affiliation: | Département du Socle commun des Sciences et Technique, Faculté de Technologie Université El-Hadj-Lakhdar Batna, Algérie Engineering Department, Faculty of Agriculture, Dalhousie University, Canada |
| Bibliographic description (Ukraine): | Linear stability analysis for the thermotactic microorganisms in porous media / Zineddine Alloui, Tri Nguyen-Quang // Environmental Problems. – 2017. – Volume 1, number 2. – P. 41–48. – Bibliography: 19 titles. |
| Journal/Collection: | Environmental Problems |
| Issue: | Volume 2, number 1 |
| Issue Date: | 2017 |
| Publisher: | Publishing House of Lviv Polytechnic National University |
| Country (code): | UA |
| Place of the edition/event: | Львів |
| Keywords: | Thermotaxis gradient-based motion linear stabiliy thermotactic bioconvection |
| Number of pages: | 41-48 |
| Abstract: | Thermotaxis or motion in the field of temperature gradient is a very common phenomenon and can be found in many events in nature, from biological ones to the migration of colloidal particles. In this paper, we suggest a deterministic model to describe the collective behavior of a microorganism population with a general form of stimuli gradient-based taxis in porous media. This population has the mass density slightly heavier than the water density and forms a suspension. The suspended cells are actively in motion with a thermotaxis behavior (temperature gradient follower). Based on an Eulerian framework, the model comprises basically the Darcy equation for the fluid motion in porous media, equation of cell conservation for the microorganism population and equation of conservation for the considered stimuli. To take into account the density effects, the Boussinesq’s approximation will be used. Linear stability analysis shows that there are interesting effects of temperature on the bioconvection pattern of the thermotactic microorganisms. |
| URI: | https://ena.lpnu.ua/handle/ntb/39438 |
| Copyright owner: | © Alloui Z., Nguyen-Quang T., 2017 |
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| Content type: | Article |
| Appears in Collections: | Environmental Problems. – 2017. – Vol. 2, No. 1 |
| File | Description | Size | Format | |
|---|---|---|---|---|
| 9-41-48.pdf | 247.94 kB | Adobe PDF | View/Open |
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