Abstract
The effect of rotation is shown to have a significant impact on the natural convection in pure fluids as well as in porous media. In isothermal systems, this effect is limited to the effect of the Coriolis acceleration on the flow. It is shown that Taylor-Proudman columns and geostrophic flows exist in both pure fluids as well as porous media subject to rotation. Results of linear stability analysis for natural convection in a rotating fluid layer heated from below are presented, identifying the unique features corresponding to this problem as compared to the same problem without rotation. In nonisothermal porous systems, the effect of rotation is expected in natural convection. Then the rotation may affect the flow through two distinct mechanisms, namely thermal buoyancy caused by centrifugal forces and the Coriolis force (or a combination of both). Since natural convection may be driven also by the gravity force, and the orientation of the buoyancy force with respect to the imposed thermal gradient has a distinctive impact on the resulting convection, a significant number of combinations of different cases arise in the investigation of the rotation effects in nonisothermal porous systems. Results pertaining to some of these cases are presented.
| Original language | English (US) |
|---|---|
| Title of host publication | Handbook of Thermal Science and Engineering |
| Publisher | Springer International Publishing |
| Pages | 691-758 |
| Number of pages | 68 |
| ISBN (Electronic) | 9783319266954 |
| ISBN (Print) | 9783319266947 |
| DOIs | |
| State | Published - Jul 5 2018 |
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ASJC Scopus subject areas
- Engineering(all)
Cite this
Natural convection in rotating flows. / Vadasz, Peter.
Handbook of Thermal Science and Engineering. Springer International Publishing, 2018. p. 691-758.Research output: Chapter in Book/Report/Conference proceeding › Chapter
}
TY - CHAP
T1 - Natural convection in rotating flows
AU - Vadasz, Peter
PY - 2018/7/5
Y1 - 2018/7/5
N2 - The effect of rotation is shown to have a significant impact on the natural convection in pure fluids as well as in porous media. In isothermal systems, this effect is limited to the effect of the Coriolis acceleration on the flow. It is shown that Taylor-Proudman columns and geostrophic flows exist in both pure fluids as well as porous media subject to rotation. Results of linear stability analysis for natural convection in a rotating fluid layer heated from below are presented, identifying the unique features corresponding to this problem as compared to the same problem without rotation. In nonisothermal porous systems, the effect of rotation is expected in natural convection. Then the rotation may affect the flow through two distinct mechanisms, namely thermal buoyancy caused by centrifugal forces and the Coriolis force (or a combination of both). Since natural convection may be driven also by the gravity force, and the orientation of the buoyancy force with respect to the imposed thermal gradient has a distinctive impact on the resulting convection, a significant number of combinations of different cases arise in the investigation of the rotation effects in nonisothermal porous systems. Results pertaining to some of these cases are presented.
AB - The effect of rotation is shown to have a significant impact on the natural convection in pure fluids as well as in porous media. In isothermal systems, this effect is limited to the effect of the Coriolis acceleration on the flow. It is shown that Taylor-Proudman columns and geostrophic flows exist in both pure fluids as well as porous media subject to rotation. Results of linear stability analysis for natural convection in a rotating fluid layer heated from below are presented, identifying the unique features corresponding to this problem as compared to the same problem without rotation. In nonisothermal porous systems, the effect of rotation is expected in natural convection. Then the rotation may affect the flow through two distinct mechanisms, namely thermal buoyancy caused by centrifugal forces and the Coriolis force (or a combination of both). Since natural convection may be driven also by the gravity force, and the orientation of the buoyancy force with respect to the imposed thermal gradient has a distinctive impact on the resulting convection, a significant number of combinations of different cases arise in the investigation of the rotation effects in nonisothermal porous systems. Results pertaining to some of these cases are presented.
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U2 - 10.1007/978-3-319-26695-4_11
DO - 10.1007/978-3-319-26695-4_11
M3 - Chapter
SN - 9783319266947
SP - 691
EP - 758
BT - Handbook of Thermal Science and Engineering
PB - Springer International Publishing
ER -