Kumari, Mahesh and Nath, Girishwar
(2014)
*TRANSIENT NATURAL CONVECTION FLOW IN A RECTANGULAR CAVITY FILLED WITH A POROUS MATERIAL WITH LOCALIZED HEATING FROM BELOW AND THERMAL STRATIFICATION.*
In: JOURNAL OF POROUS MEDIA, 17
(7).
pp. 647-655.

## Abstract

The transient natural convection flow with thermal stratification in a rectangular cavity filled with fluid saturated porous medium obeying Darcy's law has been studied. Prior to the time t* = 0, the flow in the cavity is assumed to be motionless and all four walls of the cavity are at the same constant temperature. At time t* = 0, the temperatures of the vertical walls are suddenly increased which vary linearly with the distance y and at the same time on the bottom wall an isothermal heat source is placed centrally. This sudden change in the wall temperatures gives rise to unsteadiness in the problem. The horizontal temperature difference induces and sustains a buoyancy driven flow in the cavity which is then controlled by the vertical temperature difference. The partial differential equations governing the transient natural convection flow have been solved numerically. The local and average Nusselt numbers decrease rapidly in a small time interval after the start of the impulsive change in the wall temperatures and the steady state is reached quickly. The time required to reach the steady state depends on the Rayleigh number and the thermal stratification parameter.

Item Type: | Journal Article |
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Additional Information: | Copy right for this article belongs to the BEGELL HOUSE INC, 50 CROSS HIGHWAY, REDDING, CT 06896 USA |

Keywords: | transient natural convection flow; rectangular cavity; porous material; localized heating; thermal stratification |

Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |

Depositing User: | Id for Latest eprints |

Date Deposited: | 24 Sep 2014 05:54 |

Last Modified: | 24 Sep 2014 05:54 |

URI: | http://eprints.iisc.ac.in/id/eprint/49950 |

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