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The onset of double diffusive convection in a viscoelastic fluid-saturated porous layer with non-equilibrium model.

Yang Z, Wang S, Zhao M, Li S, Zhang Q - PLoS ONE (2013)

Bottom Line: 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.

View Article: PubMed Central - PubMed

Affiliation: Department 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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Neutral stability curves for different values of heat transfer coefficient .
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pone-0079956-g008: Neutral stability curves for different values of heat transfer coefficient .

Mentions: The stationary Rayleigh number increases with an increase in the value of heat transfer coefficient , as shown in Fig. 8, indicating that the effect of heat transfer coefficient is to enhance the stability of the system. At the same time, the same effect of upon the oscillatory Rayleigh number can be observed in this figure. Comparing with the curve for local thermal equilibrium model, it can be seen that the the oscillatory convection is easy to occur for thermal non-equilibrium case.


The onset of double diffusive convection in a viscoelastic fluid-saturated porous layer with non-equilibrium model.

Yang Z, Wang S, Zhao M, Li S, Zhang Q - PLoS ONE (2013)

Neutral stability curves for different values of heat transfer coefficient .
© Copyright Policy
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC3842928&req=5

pone-0079956-g008: Neutral stability curves for different values of heat transfer coefficient .
Mentions: The stationary Rayleigh number increases with an increase in the value of heat transfer coefficient , as shown in Fig. 8, indicating that the effect of heat transfer coefficient is to enhance the stability of the system. At the same time, the same effect of upon the oscillatory Rayleigh number can be observed in this figure. Comparing with the curve for local thermal equilibrium model, it can be seen that the the oscillatory convection is easy to occur for thermal non-equilibrium case.

Bottom Line: 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.

View Article: PubMed Central - PubMed

Affiliation: Department 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.

Show MeSH
Related in: MedlinePlus