Linear and Nonlinear Stability Analysis of Double Diffusive Convection in a Maxwell Fluid Saturated Porous Layer with Internal Heat Source
The onset of double diffusive convection is investigated in a Maxwell fluid saturated porous layer with internal heat source. The modified Darcy law for the Maxwell fluid is used to model the momentum equation of the system, and the criterion for the onset of the convection is established through th...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/489279 |
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| author | Moli Zhao Qiangyong Zhang Shaowei Wang |
| author_facet | Moli Zhao Qiangyong Zhang Shaowei Wang |
| author_sort | Moli Zhao |
| collection | DOAJ |
| description | The onset of double diffusive convection is investigated in a Maxwell fluid saturated porous layer with internal heat source. The modified Darcy law for the Maxwell fluid is used to model the momentum equation of the system, and the criterion for the onset of the convection is established through the linear and nonlinear stability analyses. The linear analysis is obtained using the normal mode technique, and the nonlinear analysis of the system is studied with the help of truncated representation of Fourier series. The effects of internal Rayleigh number, stress relaxation parameter, normalized porosity, Lewis number, Vadasz number and solute Rayleigh number on the stationary, and oscillatory and weak nonlinear convection of the system are shown numerically and graphically. The effects of various parameters on transient heat and mass transfer are also discussed and presented analytically and graphically. |
| format | Article |
| id | doaj-art-56f6450932a440a78b48188d51318032 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-56f6450932a440a78b48188d513180322025-02-03T01:12:12ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/489279489279Linear and Nonlinear Stability Analysis of Double Diffusive Convection in a Maxwell Fluid Saturated Porous Layer with Internal Heat SourceMoli Zhao0Qiangyong Zhang1Shaowei Wang2Geotechnical and Structural Engineering Research Center, Shandong University, Jinan, Shandong 250061, ChinaGeotechnical and Structural Engineering Research Center, Shandong University, Jinan, Shandong 250061, ChinaDepartment of Engineering Mechanics, School of Civil Engineering, Shandong University, Jinan, Shandong 250061, ChinaThe onset of double diffusive convection is investigated in a Maxwell fluid saturated porous layer with internal heat source. The modified Darcy law for the Maxwell fluid is used to model the momentum equation of the system, and the criterion for the onset of the convection is established through the linear and nonlinear stability analyses. The linear analysis is obtained using the normal mode technique, and the nonlinear analysis of the system is studied with the help of truncated representation of Fourier series. The effects of internal Rayleigh number, stress relaxation parameter, normalized porosity, Lewis number, Vadasz number and solute Rayleigh number on the stationary, and oscillatory and weak nonlinear convection of the system are shown numerically and graphically. The effects of various parameters on transient heat and mass transfer are also discussed and presented analytically and graphically.http://dx.doi.org/10.1155/2014/489279 |
| spellingShingle | Moli Zhao Qiangyong Zhang Shaowei Wang Linear and Nonlinear Stability Analysis of Double Diffusive Convection in a Maxwell Fluid Saturated Porous Layer with Internal Heat Source Journal of Applied Mathematics |
| title | Linear and Nonlinear Stability Analysis of Double Diffusive Convection in a Maxwell Fluid Saturated Porous Layer with Internal Heat Source |
| title_full | Linear and Nonlinear Stability Analysis of Double Diffusive Convection in a Maxwell Fluid Saturated Porous Layer with Internal Heat Source |
| title_fullStr | Linear and Nonlinear Stability Analysis of Double Diffusive Convection in a Maxwell Fluid Saturated Porous Layer with Internal Heat Source |
| title_full_unstemmed | Linear and Nonlinear Stability Analysis of Double Diffusive Convection in a Maxwell Fluid Saturated Porous Layer with Internal Heat Source |
| title_short | Linear and Nonlinear Stability Analysis of Double Diffusive Convection in a Maxwell Fluid Saturated Porous Layer with Internal Heat Source |
| title_sort | linear and nonlinear stability analysis of double diffusive convection in a maxwell fluid saturated porous layer with internal heat source |
| url | http://dx.doi.org/10.1155/2014/489279 |
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