### Abstract

The stability and onset of convection in a rotating fluid saturated porous layer subject to a centrifugal body force and placed at an offset distance from the center of rotation is investigated analytically. The marginal stability criterion is established in terms of a critical centrifugal Rayleigh number and a critical wave number for different values of the parameter representing the dimensionless offset distance from the center of rotation. At the limit of an infinite distance from the center of rotation the results are identical to the convection resulting from heating a porous layer from below subject to the gravitational body force. At the other limit, when the parameter controlling the offset distance approaches zero, the results converge to previously found solutions for the convection in a porous layer adjacent to the axis of rotation. The results provide the stability map for all positive values of the parameter controlling the offset distance from the center of rotation, hence bridging the gap between the two extreme limit cases.

Original language | English (US) |
---|---|

Pages (from-to) | 153-173 |

Number of pages | 21 |

Journal | Transport in Porous Media |

Volume | 23 |

Issue number | 2 |

State | Published - 1996 |

Externally published | Yes |

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### Keywords

- Free convection
- Porous layer
- Rotating flows

### ASJC Scopus subject areas

- Chemical Engineering(all)
- Catalysis

### Cite this

**Stability of free convection in a rotating porous layer distant from the axis of rotation.** / Vadasz, Peter.

Research output: Contribution to journal › Article

*Transport in Porous Media*, vol. 23, no. 2, pp. 153-173.

}

TY - JOUR

T1 - Stability of free convection in a rotating porous layer distant from the axis of rotation

AU - Vadasz, Peter

PY - 1996

Y1 - 1996

N2 - The stability and onset of convection in a rotating fluid saturated porous layer subject to a centrifugal body force and placed at an offset distance from the center of rotation is investigated analytically. The marginal stability criterion is established in terms of a critical centrifugal Rayleigh number and a critical wave number for different values of the parameter representing the dimensionless offset distance from the center of rotation. At the limit of an infinite distance from the center of rotation the results are identical to the convection resulting from heating a porous layer from below subject to the gravitational body force. At the other limit, when the parameter controlling the offset distance approaches zero, the results converge to previously found solutions for the convection in a porous layer adjacent to the axis of rotation. The results provide the stability map for all positive values of the parameter controlling the offset distance from the center of rotation, hence bridging the gap between the two extreme limit cases.

AB - The stability and onset of convection in a rotating fluid saturated porous layer subject to a centrifugal body force and placed at an offset distance from the center of rotation is investigated analytically. The marginal stability criterion is established in terms of a critical centrifugal Rayleigh number and a critical wave number for different values of the parameter representing the dimensionless offset distance from the center of rotation. At the limit of an infinite distance from the center of rotation the results are identical to the convection resulting from heating a porous layer from below subject to the gravitational body force. At the other limit, when the parameter controlling the offset distance approaches zero, the results converge to previously found solutions for the convection in a porous layer adjacent to the axis of rotation. The results provide the stability map for all positive values of the parameter controlling the offset distance from the center of rotation, hence bridging the gap between the two extreme limit cases.

KW - Free convection

KW - Porous layer

KW - Rotating flows

UR - http://www.scopus.com/inward/record.url?scp=0030131267&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030131267&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0030131267

VL - 23

SP - 153

EP - 173

JO - Transport in Porous Media

JF - Transport in Porous Media

SN - 0169-3913

IS - 2

ER -