Tensorial hydrodynamic slip
By Martin Z. Bazant, O. Vinogradova. Journal of Fluid Mechanics, 2008
188 citations recorded by the source corpus.
We describe a tensorial generalization of the Navier slip boundary condition and illustrate its use in solving for flows around anisotropic textured surfaces. Tensorial slip can be derived from molecular or microstructural theories or simply postulated as a constitutive relation, subject to certain general constraints on the interfacial mobility. The power of the tensor formalism is to capture complicated effects of surface anisotropy, while preserving a simple fluid domain. This is demonstrated by exact solutions for laminar shear flow and pressure-driven flow between parallel plates of arbitrary and different textures. From such solutions, the effects of rotating a texture follow from simple matrix algebra. Our results may be useful for extracting local slip tensors from global measurements, such as the permeability of a textured channel or the force required to move a patterned surface, in experiments or simulations.
Subfields: Computational Mechanics, Fluid Flow and Transfer Processes, Surfaces, Coatings and Films
View Paper: https://www.semanticscholar.org/paper/9a81ba7eecc8a6092f70de7783ce114ffaca57ab
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In Computational Mechanics
In Fluid Flow and Transfer Processes
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Citations in the corpus
- Effective slip in pressure-driven flow past super-hydrophobic stripes (2009, background): “…fluid in a tiny channel is to exploit hydrodynamic slip, which can be generated at hydrophobic surfaces and is quantified by the slip length b (the distance within the solid at which the flow profile extrapolates to zero) (Vinogradova 1999; Bocquet & Barrat 2007; Lauga, Brenner & Stone 2007).”
- Towards an understanding of induced-charge electrokinetics at large applied voltages in concentrated solutions. (2009, methodology): “We suggest using a modified Navier slip boundary condition [340],”