Journal
PHYSICS OF FLUIDS
Volume 22, Issue 12, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.3531683
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Funding
- EPSRC [EP/I004920/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/I004920/1] Funding Source: researchfish
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An analytical formula for the frictional slip length associated with transverse shear flow over a bubble mattress comprising a dilute periodic array of parallel circular-arc grooves protruding into the fluid has recently been presented by Davis and Lauga [Phys. Fluids 21, 011701 (2009)]. This letter derives an analytical formula for the slip length associated with longitudinal shear flow over the same surface. The formula is in excellent agreement with a phenomenological result based on finite element simulations given by Teo and Khoo [Microfluid. Nanofluid. 9, 499 (2010)]. (C) 2010 American Institute of Physics. [doi:10.1063/1.3531683]
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