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TRANSIENT NATURAL CONVECTION FLOWIN A RECTANGULAR CAVITY FILLED WITH A POROUS MATERIAL WITH LOCALIZED HEATING FROM BELOWAND THERMAL STRATIFICATION

卷 17, 册 7, 2014, pp. 647-655
DOI: 10.1615/JPorMedia.v17.i7.70
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摘要

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.

对本文的引用
  1. Mullick Saddam Hossain , DasGupta Debabrata , Kundu Pranab Kumar, NUMERICAL EXAMINATION OF NATURAL CONVECTION AND ENTROPY FORMATION INSIDE AIR-SATURATED POROUS ENCLOSURE TO CREATE THERMALLY ACTIVE REGION WITH PERIODIC HEATING/COOLING , Journal of Porous Media, 25, 9, 2022. Crossref

  2. Mullick Saddam Hossain, Dasgupta Debabrata, Kundu Pranab Kumar, Influence of lower period of heating and high buoyancy inside fluid saturated porous enclosure on transient natural convection, Sādhanā, 47, 3, 2022. Crossref

  3. Sheremet M.A., Dinarvand S., Pop I., Effect of thermal stratification on free convection in a square porous cavity filled with a nanofluid using Tiwari and Das' nanofluid model, Physica E: Low-dimensional Systems and Nanostructures, 69, 2015. Crossref

  4. Nield Donald A., Bejan Adrian, Internal Natural Convection: Heating from Below, in Convection in Porous Media, 2017. Crossref

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