Unsteady Natural Convection Flow in a Square Cavity Filled with a Porous Medium Due to Impulsive Change in Wall Temperature
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Unsteady natural convection flow in a twodimensional square cavity filled with a porous material has been studied. The flow is initially steady where the lefthand vertical wall has temperature T _{h} and the righthand vertical wall is maintained at temperature T _{c} (T _{h} > T _{c}) and the horizontal walls are insulated. At time t > 0, the lefthand vertical wall temperature is suddenly raised to \({{\bar{T}}_{\rm h}\,({\bar{T}}_{\rm h} > T_{\rm h})}\) which introduces unsteadiness in the flow field. The partial differential equations governing the unsteady natural convection flow have been solved numerically using a finite control volume method. The computation has been carried out until the final steady state is reached. It is found that the average Nusselt number attains a minimum during the transient period and that the time required to reach the final steady state is longer for low Rayleigh number and shorter for high Rayleigh number.
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 Title
 Unsteady Natural Convection Flow in a Square Cavity Filled with a Porous Medium Due to Impulsive Change in Wall Temperature
 Journal

Transport in Porous Media
Volume 77, Issue 3 , pp 463474
 Cover Date
 20090401
 DOI
 10.1007/s112420089285x
 Print ISSN
 01693913
 Online ISSN
 15731634
 Publisher
 Springer Netherlands
 Additional Links
 Topics
 Keywords

 Unsteady natural convection
 Square cavity
 Porous medium
 Sudden change in wall temperature
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