Breakdown of the laminar flow regime in permeable-walled ducts

E. M. Sparrow, G. S. Beavers, T. S. Chen, J. R. Lloyd

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Abstract

The stability of laminar flow in a parallel-plate channel having one permeable bounding wall is investigated by means of linear theory. The analysis takes account of the coupling of the disturbance fields in the channel and in the permeable material and of velocity slip at the surface of the permeable wall. Complementrary experiments are performed in which the breakdown of the laminar regime in flat rectangular ducts is identified from pressure-drop measurements and from flow visualization studies. The experiments cover the range of slip velocities from 15-30 percent of the mean velocity and, in addition, the case of zero slip (impermeable walls). In this slip range of the experiments, the instability Reynolds number results of both analysis and experiment lie below the corresponding values for the case of the impermeable-walled duct. Furthermore, in this range, the instability Reynolds numbers are rather insensitive to variation in the slip velocity. Quantitative agreement between analysis and experiment was found to be somewhat better in the slip range than for the impermeable-walled duct

Original languageEnglish (US)
Pages (from-to)337-342
Number of pages6
JournalJournal of Applied Mechanics, Transactions ASME
Volume40
Issue number2
DOIs
StatePublished - Jun 1973

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