Abstract
The impact of thermal expansion and the corresponding non-Boussinesq effects on porous media convection are considered. The results show that the non-Boussinesq effects decouple from the rest, and solving the Boussinesq system separately is needed even when non-Boussinesq effects are being investigated. The thermal expansion is shown to have a lasting impact on the post-transient convection only for values of Rayleigh number substantially beyond the convection threshold, where the amplitude of convection is not small. In the neighbourhood of the convection threshold the thermal expansion has only a transient impact on the solution. It is also evident from the results that the neglect of the time derivative term in the extended Darcy equation might introduce a significant error when oscillatory effects are present.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 445-463 |
| Number of pages | 19 |
| Journal | Transport in Porous Media |
| Volume | 44 |
| Issue number | 3 |
| DOIs | |
| State | Published - Sep 2001 |
| Externally published | Yes |
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Keywords
- Boussinesq approximation
- Free convection
- Porous media
- Thermal expansion
- Time scales
ASJC Scopus subject areas
- Chemical Engineering(all)
- Catalysis
Cite this
The effect of thermal expansion on porous media convection Part 2 : Thermal convection solution. / Vadasz, Peter.
In: Transport in Porous Media, Vol. 44, No. 3, 09.2001, p. 445-463.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - The effect of thermal expansion on porous media convection Part 2
T2 - Thermal convection solution
AU - Vadasz, Peter
PY - 2001/9
Y1 - 2001/9
N2 - The impact of thermal expansion and the corresponding non-Boussinesq effects on porous media convection are considered. The results show that the non-Boussinesq effects decouple from the rest, and solving the Boussinesq system separately is needed even when non-Boussinesq effects are being investigated. The thermal expansion is shown to have a lasting impact on the post-transient convection only for values of Rayleigh number substantially beyond the convection threshold, where the amplitude of convection is not small. In the neighbourhood of the convection threshold the thermal expansion has only a transient impact on the solution. It is also evident from the results that the neglect of the time derivative term in the extended Darcy equation might introduce a significant error when oscillatory effects are present.
AB - The impact of thermal expansion and the corresponding non-Boussinesq effects on porous media convection are considered. The results show that the non-Boussinesq effects decouple from the rest, and solving the Boussinesq system separately is needed even when non-Boussinesq effects are being investigated. The thermal expansion is shown to have a lasting impact on the post-transient convection only for values of Rayleigh number substantially beyond the convection threshold, where the amplitude of convection is not small. In the neighbourhood of the convection threshold the thermal expansion has only a transient impact on the solution. It is also evident from the results that the neglect of the time derivative term in the extended Darcy equation might introduce a significant error when oscillatory effects are present.
KW - Boussinesq approximation
KW - Free convection
KW - Porous media
KW - Thermal expansion
KW - Time scales
UR - http://www.scopus.com/inward/record.url?scp=0035448299&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0035448299&partnerID=8YFLogxK
U2 - 10.1023/A:1010776423917
DO - 10.1023/A:1010776423917
M3 - Article
AN - SCOPUS:0035448299
VL - 44
SP - 445
EP - 463
JO - Transport in Porous Media
JF - Transport in Porous Media
SN - 0169-3913
IS - 3
ER -