A two-phase boundary layer and its drag-reduction characteristics

E. M. Sparrow, V. K. Jonsson, E. R.G. Eckert

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Consideration is given to coexisting gas and liquid boundary layers which occur when a gas is injected at the surface of a flat plate into a free-stream liquid flow. It is postulated that the gas forms a continuous film over the plate surface. The problem can be formulated exactly within the framework of laminar boundary-layer theory. Solutions have been carried out for a range of values of blowing velocity and of a fluid property parameter (ρµ) L/ (ρµ)g -It is demonstrated that the drag forces associated with the two-phase boundary layer are much smaller than those for the single-phase liquid flow. For example, for a blowing velocity which is 0.001 of the free-stream velocity and a gas Reynolds number of 105, the over-all drag calculation yields a value which is 0.0205 of the single-phase drag force. The effect of evaporation at the gas-liquid interface is analyzed and found to be small at temperatures which are not too close to saturation. 1962 by ASME.

Original languageEnglish (US)
Pages (from-to)408-414
Number of pages7
JournalJournal of Applied Mechanics, Transactions ASME
Issue number2
StatePublished - 1960


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