Energy Stability of Benard-Darcy Two-Component Convection of Maxwell Fluid
Energy stability of a horizontal layer of a two-component Maxwell fluid in a porous medium heated and salted from below is studied under the Oberbeck-Boussinesq-Darcy approximation using the Lyapunov direct method. The effect of stress relaxation on the linear and non-linear critical stability param...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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University of Zielona Góra
2013-03-01
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| Series: | International Journal of Applied Mechanics and Engineering |
| Subjects: | |
| Online Access: | https://www.ijame-poland.com/Energy-Stability-of-Benard-Darcy-Two-Component-Convection-of-Maxwell-Fluid,167346,0,2.html |
| _version_ | 1797751063895343104 |
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| author | H. Muti H. Demir P.G. Siddheshwar |
| author_facet | H. Muti H. Demir P.G. Siddheshwar |
| author_sort | H. Muti |
| collection | DOAJ |
| description | Energy stability of a horizontal layer of a two-component Maxwell fluid in a porous medium heated and salted from below is studied under the Oberbeck-Boussinesq-Darcy approximation using the Lyapunov direct method. The effect of stress relaxation on the linear and non-linear critical stability parameters is clearly brought out with coincidence between the two when the solute concentration is dilute. Qualitatively, the result of porous and clear fluid cases is shown to be similar. In spite of lack of symmetry in the problem it is shown that non linear exponential stability can be handled. |
| first_indexed | 2024-03-12T16:41:58Z |
| format | Article |
| id | doaj.art-e94afd549ed443d89f1b32c4c15a95d7 |
| institution | Directory Open Access Journal |
| issn | 1734-4492 2353-9003 |
| language | English |
| last_indexed | 2024-03-12T16:41:58Z |
| publishDate | 2013-03-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | International Journal of Applied Mechanics and Engineering |
| spelling | doaj.art-e94afd549ed443d89f1b32c4c15a95d72023-08-08T14:26:56ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032013-03-0118112513510.2478/ijame-2013-0009167346Energy Stability of Benard-Darcy Two-Component Convection of Maxwell FluidH. Muti0H. Demir1P.G. Siddheshwar2Department of Mathematics, Art and Science Faculty Ondokuz Mayis University 55139 Atakum/Samsun-TURKEYDepartment of Mathematics, Art and Science Faculty Ondokuz Mayis University 55139 Atakum/Samsun-TURKEYBangalore University, Central College Campus Bangalore 560 001, INDIAEnergy stability of a horizontal layer of a two-component Maxwell fluid in a porous medium heated and salted from below is studied under the Oberbeck-Boussinesq-Darcy approximation using the Lyapunov direct method. The effect of stress relaxation on the linear and non-linear critical stability parameters is clearly brought out with coincidence between the two when the solute concentration is dilute. Qualitatively, the result of porous and clear fluid cases is shown to be similar. In spite of lack of symmetry in the problem it is shown that non linear exponential stability can be handled.https://www.ijame-poland.com/Energy-Stability-of-Benard-Darcy-Two-Component-Convection-of-Maxwell-Fluid,167346,0,2.htmlenergy stability analysislyapunov direct methodb´enard-darcy convectionviscoelastictwocomponent maxwell fluidstress relaxation |
| spellingShingle | H. Muti H. Demir P.G. Siddheshwar Energy Stability of Benard-Darcy Two-Component Convection of Maxwell Fluid International Journal of Applied Mechanics and Engineering energy stability analysis lyapunov direct method b´enard-darcy convection viscoelastic twocomponent maxwell fluid stress relaxation |
| title | Energy Stability of Benard-Darcy Two-Component Convection of Maxwell Fluid |
| title_full | Energy Stability of Benard-Darcy Two-Component Convection of Maxwell Fluid |
| title_fullStr | Energy Stability of Benard-Darcy Two-Component Convection of Maxwell Fluid |
| title_full_unstemmed | Energy Stability of Benard-Darcy Two-Component Convection of Maxwell Fluid |
| title_short | Energy Stability of Benard-Darcy Two-Component Convection of Maxwell Fluid |
| title_sort | energy stability of benard darcy two component convection of maxwell fluid |
| topic | energy stability analysis lyapunov direct method b´enard-darcy convection viscoelastic twocomponent maxwell fluid stress relaxation |
| url | https://www.ijame-poland.com/Energy-Stability-of-Benard-Darcy-Two-Component-Convection-of-Maxwell-Fluid,167346,0,2.html |
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