Laminar and turbulent comparisons for channel flow and flow control
AuthorMarusic, I; Joseph, DD; Mahesh, K
Source TitleJournal of Fluid Mechanics
PublisherCAMBRIDGE UNIV PRESS
University of Melbourne Author/sMarusic, Ivan
AffiliationEngineering: Department of Mechanical and Manufacturing Engineering
Document TypeJournal Article
CitationsMarusic, I., Joseph, D. D. & Mahesh, K. (2007). Laminar and turbulent comparisons for channel flow and flow control. JOURNAL OF FLUID MECHANICS, 570, pp.467-477. https://doi.org/10.1017/S0022112006003247.
Access StatusOpen Access
© 2007 Cambridge University Press. This is a publisher's version of Marusic, I., Joseph, D. D., & Mahesh, K. (2007). Laminar and turbulent comparisons for channel flow and flow control. Journal of Fluid Mechanics, 570, 467-477. www.cambridge.org/
A formula is derived that shows exactly how much the discrepancy between the volume flux in laminar and in turbulent flow at the same pressure gradient increases as the pressure gradient is increased. We compare laminar and turbulent flows in channels with and without flow control. For the related problem of a fixed bulk-Reynolds-number flow, we seek the theoretical lowest bound for skin-friction drag for control schemes that use surface blowing and suction with zero-net volume-flux addition. For one such case, using a crossflow approach, we show that sustained drag below that of the laminar-Poiseuille-flow case is not possible. For more general control strategies we derive a criterion for achieving sublaminar drag and use this to consider the implications for control strategy design and the limitations at high Reynolds numbers.
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