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Linear and Nonlinear Stability Analysis of Double Diffusive Convection in a Maxwell Fluid Saturated Porous Layer with Internal Heat Source
Joint Authors
Zhang, Qiangyong
Wang, Shaowei
Zhao, Moli
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-09
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Zhao, Moli& Zhang, Qiangyong& Wang, Shaowei. 2014. Linear and Nonlinear Stability Analysis of Double Diffusive Convection in a Maxwell Fluid Saturated Porous Layer with Internal Heat Source. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-475658
Modern Language Association (MLA)
Zhao, Moli…[et al.]. Linear and Nonlinear Stability Analysis of Double Diffusive Convection in a Maxwell Fluid Saturated Porous Layer with Internal Heat Source. Journal of Applied Mathematics No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-475658
American Medical Association (AMA)
Zhao, Moli& Zhang, Qiangyong& Wang, Shaowei. Linear and Nonlinear Stability Analysis of Double Diffusive Convection in a Maxwell Fluid Saturated Porous Layer with Internal Heat Source. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-475658
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-475658