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Unsteady natural convection in a porous layer

 

作者: Dimos Poulikakos,   Adrian Bejan,  

 

期刊: Physics of Fluids(00319171)  (AIP Available online 1983)
卷期: Volume 26, issue 5  

页码: 1183-1191

 

ISSN:0031-9171

 

年代: 1983

 

DOI:10.1063/1.864266

 

出版商: AIP

 

数据来源: AIP

 

摘要:

The focus of this paper is on the fundamentals of the transient mechanism responsible for the establishment of natural convection in a two‐dimensional porous layer confined between isothermal vertical walls and insulated horizontal walls. In the first part of the paper, pure scaling arguments are used to identify the characteristic time scales of the phenomenon and, based on these scales, the evolution of the porous system to steady state. The type of steady state is shown to depend on the relative order of magnitude of the characteristic time scales. Distinct vertical boundary layers are shown to be possible if (L/H)Ra1/2>1, and distinct horizontal layers if (H/L)1/2 Ra1/4>1. In the second part of the paper, these and other scaling laws of the transient evolution to steady state are successfully tested against a series of transient numerical experiments conducted in the rangeH/L=0.2–5 and Ra=10–50.

 

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