Onset of thermosolutal reactive-convection in an Ellis fluid saturated porous layer
This study examines the onset of thermosolutal reactive-convection in a porous layer saturated with an Ellis fluid under a horizontal pressure gradient, generating steady flow. Temperature and concentration gradients induce thermosolutal convection, further complicated by reaction terms. Through lin...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-03-01
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| Series: | Partial Differential Equations in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818124004480 |
| _version_ | 1826901836691406848 |
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| author | Vinod Y․ K.R. Raghunatha Dilsora Abduvalieva Manish Gupta |
| author_facet | Vinod Y․ K.R. Raghunatha Dilsora Abduvalieva Manish Gupta |
| author_sort | Vinod Y․ |
| collection | DOAJ |
| description | This study examines the onset of thermosolutal reactive-convection in a porous layer saturated with an Ellis fluid under a horizontal pressure gradient, generating steady flow. Temperature and concentration gradients induce thermosolutal convection, further complicated by reaction terms. Through linear stability analysis using the normal mode technique, an analytical expression for the Darcy-Rayleigh number is derived, with results validated against limiting cases. Findings show that increasing the solute Darcy-Rayleigh number, Ellis power-law index, and Damkohler number delays convection onset, while higher Darcy-Ellis and Lewis numbers promote it. Results reveal the critical conditions under which buoyancy-driven instabilities arise, with particular emphasis on the role of the Ellis fluid rheology in moderating these instabilities. These insights advance the understanding of reactive-convection control in porous media, relevant to applications in enhanced oil recovery, carbon sequestration, and non-Newtonian fluid reactors. |
| first_indexed | 2025-02-17T07:29:29Z |
| format | Article |
| id | doaj.art-909dc86f279b44dc8e93da5fe96fcc07 |
| institution | Directory Open Access Journal |
| issn | 2666-8181 |
| language | English |
| last_indexed | 2025-02-17T07:29:29Z |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj.art-909dc86f279b44dc8e93da5fe96fcc072025-01-04T04:57:14ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812025-03-0113101062Onset of thermosolutal reactive-convection in an Ellis fluid saturated porous layerVinod Y․0K.R. Raghunatha1Dilsora Abduvalieva2Manish Gupta3Department of Mathematics, Davangere University, Davangere 577 002, IndiaDepartment of Mathematics, Davangere University, Davangere 577 002, India; Corresponding author.Department of Mathematics and Information Technologies, Tashkent State Pedagogical University, Bunyodkor avenue, 27, Tashkent 100070, UzbekistanDivision of Research and Development, Lovely Professional University, Phagwara, IndiaThis study examines the onset of thermosolutal reactive-convection in a porous layer saturated with an Ellis fluid under a horizontal pressure gradient, generating steady flow. Temperature and concentration gradients induce thermosolutal convection, further complicated by reaction terms. Through linear stability analysis using the normal mode technique, an analytical expression for the Darcy-Rayleigh number is derived, with results validated against limiting cases. Findings show that increasing the solute Darcy-Rayleigh number, Ellis power-law index, and Damkohler number delays convection onset, while higher Darcy-Ellis and Lewis numbers promote it. Results reveal the critical conditions under which buoyancy-driven instabilities arise, with particular emphasis on the role of the Ellis fluid rheology in moderating these instabilities. These insights advance the understanding of reactive-convection control in porous media, relevant to applications in enhanced oil recovery, carbon sequestration, and non-Newtonian fluid reactors.http://www.sciencedirect.com/science/article/pii/S2666818124004480Ellis fluidThermosolutal convectionReactive convection |
| spellingShingle | Vinod Y․ K.R. Raghunatha Dilsora Abduvalieva Manish Gupta Onset of thermosolutal reactive-convection in an Ellis fluid saturated porous layer Partial Differential Equations in Applied Mathematics Ellis fluid Thermosolutal convection Reactive convection |
| title | Onset of thermosolutal reactive-convection in an Ellis fluid saturated porous layer |
| title_full | Onset of thermosolutal reactive-convection in an Ellis fluid saturated porous layer |
| title_fullStr | Onset of thermosolutal reactive-convection in an Ellis fluid saturated porous layer |
| title_full_unstemmed | Onset of thermosolutal reactive-convection in an Ellis fluid saturated porous layer |
| title_short | Onset of thermosolutal reactive-convection in an Ellis fluid saturated porous layer |
| title_sort | onset of thermosolutal reactive convection in an ellis fluid saturated porous layer |
| topic | Ellis fluid Thermosolutal convection Reactive convection |
| url | http://www.sciencedirect.com/science/article/pii/S2666818124004480 |
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