Two-Dimensional Convection Induced by Gravity and Centrifugal Forces in a Rotating Porous Layer Far Away from the Axis of Rotation
The stability and onset of two-dimensional convection in a rotating fluid saturated porous layer subject to gravity and centrifugal body forces is investigated analytically. The problem corresponding to a layer placed far away from the centre of rotation was identified as a distinct case and therefo...
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| Format: | Article |
| Language: | English |
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Wiley
1998-01-01
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| Series: | International Journal of Rotating Machinery |
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| Online Access: | http://dx.doi.org/10.1155/S1023621X98000074 |
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| author | Peter Vadasz Saneshan Govender |
| author_facet | Peter Vadasz Saneshan Govender |
| author_sort | Peter Vadasz |
| collection | DOAJ |
| description | The stability and onset of two-dimensional convection in a rotating fluid saturated porous layer subject to gravity and centrifugal body forces is investigated analytically. The problem corresponding to a layer placed far away from the centre of rotation was identified as a distinct case and therefore justifying special attention. The stability of a basic gravity driven convection is analysed. The marginal stability criterion is established in terms of a critical centrifugal Rayleigh number and a critical wave number for different values of the gravity related Rayleigh number. For any given value of the gravity related Rayleigh number there is a transitional value of the wave number, beyond which the basic gravity driven flow is stable. The results provide the stability map for a wide range of values of the gravity related Rayleigh number, as well as the corresponding flow and temperature fields. |
| format | Article |
| id | doaj-art-d83a8356517a4192849e46b8690d777c |
| institution | Kabale University |
| issn | 1023-621X |
| language | English |
| publishDate | 1998-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Rotating Machinery |
| spelling | doaj-art-d83a8356517a4192849e46b8690d777c2025-02-03T01:30:32ZengWileyInternational Journal of Rotating Machinery1023-621X1998-01-0142739010.1155/S1023621X98000074Two-Dimensional Convection Induced by Gravity and Centrifugal Forces in a Rotating Porous Layer Far Away from the Axis of RotationPeter Vadasz0Saneshan Govender1Department of Mechanical Engineering, University of Durban-Westville, Private Bag X54001, Durban 4000, South AfricaDepartment of Mechanical Engineering, University of Durban-Westville, Private Bag X54001, Durban 4000, South AfricaThe stability and onset of two-dimensional convection in a rotating fluid saturated porous layer subject to gravity and centrifugal body forces is investigated analytically. The problem corresponding to a layer placed far away from the centre of rotation was identified as a distinct case and therefore justifying special attention. The stability of a basic gravity driven convection is analysed. The marginal stability criterion is established in terms of a critical centrifugal Rayleigh number and a critical wave number for different values of the gravity related Rayleigh number. For any given value of the gravity related Rayleigh number there is a transitional value of the wave number, beyond which the basic gravity driven flow is stable. The results provide the stability map for a wide range of values of the gravity related Rayleigh number, as well as the corresponding flow and temperature fields.http://dx.doi.org/10.1155/S1023621X98000074Rotating flowsRotating machineryPorous mediaFree convectionNatural convectionBuoyancy. |
| spellingShingle | Peter Vadasz Saneshan Govender Two-Dimensional Convection Induced by Gravity and Centrifugal Forces in a Rotating Porous Layer Far Away from the Axis of Rotation International Journal of Rotating Machinery Rotating flows Rotating machinery Porous media Free convection Natural convection Buoyancy. |
| title | Two-Dimensional Convection Induced by Gravity and
Centrifugal Forces in a Rotating Porous Layer Far Away
from the Axis of Rotation |
| title_full | Two-Dimensional Convection Induced by Gravity and
Centrifugal Forces in a Rotating Porous Layer Far Away
from the Axis of Rotation |
| title_fullStr | Two-Dimensional Convection Induced by Gravity and
Centrifugal Forces in a Rotating Porous Layer Far Away
from the Axis of Rotation |
| title_full_unstemmed | Two-Dimensional Convection Induced by Gravity and
Centrifugal Forces in a Rotating Porous Layer Far Away
from the Axis of Rotation |
| title_short | Two-Dimensional Convection Induced by Gravity and
Centrifugal Forces in a Rotating Porous Layer Far Away
from the Axis of Rotation |
| title_sort | two dimensional convection induced by gravity and centrifugal forces in a rotating porous layer far away from the axis of rotation |
| topic | Rotating flows Rotating machinery Porous media Free convection Natural convection Buoyancy. |
| url | http://dx.doi.org/10.1155/S1023621X98000074 |
| work_keys_str_mv | AT petervadasz twodimensionalconvectioninducedbygravityandcentrifugalforcesinarotatingporouslayerfarawayfromtheaxisofrotation AT saneshangovender twodimensionalconvectioninducedbygravityandcentrifugalforcesinarotatingporouslayerfarawayfromtheaxisofrotation |