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Updated: May 5, 2026

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Published on: September 5, 2018
The onset of double diffusive convection in a viscoelastic fluid-saturated porous layer with non-equilibrium model
Zhixin Yang1, Shaowei Wang, Moli Zhao
1Department of Engineering Mechanics, School of Civil Engineering, Shandong University, Jinan, P.R. China.
Abstract:
The onset of double diffusive convection in a viscoelastic fluid-saturated porous layer is studied when the fluid and solid phase are not in local thermal equilibrium. The modified Darcy model is used for the momentum equation and a two-field model is used for energy equation each representing the fluid and solid phases separately. The effect of thermal non-equilibrium on the onset of double diffusive convection is discussed. The critical Rayleigh number and the corresponding wave number for the exchange of stability and over-stability are obtained, and the onset criterion for stationary and oscillatory convection is derived analytically and discussed numerically.
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