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2014 Linear and Nonlinear Stability Analysis of Double Diffusive Convection in a Maxwell Fluid Saturated Porous Layer with Internal Heat Source
Moli Zhao, Qiangyong Zhang, Shaowei Wang
J. Appl. Math. 2014: 1-12 (2014). DOI: 10.1155/2014/489279

Abstract

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.

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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." J. Appl. Math. 2014 1 - 12, 2014. https://doi.org/10.1155/2014/489279

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07010652
MathSciNet: MR3198383
Digital Object Identifier: 10.1155/2014/489279

Rights: Copyright © 2014 Hindawi

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