Application of the Lambert W function to steady shearing Newtonian flows with logarithmic wall slip
| Autor: | Alexandros Syrakos, Rafaella Pitsillou, Georgios C. Georgiou |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Fluid Flow and Transfer Processes
Physics Shearing (physics) Logarithm Mechanical Engineering Computational Mechanics Rotational symmetry Mechanics Slip (materials science) Physics::Classical Physics Condensed Matter Physics Hagen–Poiseuille equation 01 natural sciences Physics::Geophysics 010305 fluids & plasmas Physics::Fluid Dynamics symbols.namesake Planar Mechanics of Materials Lambert W function 0103 physical sciences Newtonian fluid symbols 010306 general physics |
| Zdroj: | Physics of Fluids. 32:053107 |
| ISSN: | 1089-7666 1070-6631 |
| DOI: | 10.1063/5.0009968 |
| Popis: | We consider various viscometric flows of a Newtonian fluid, i.e., plane, annular, and circular Couette flows and planar and axisymmetric Poiseuille flows, in the presence of wall slip that follows a logarithmic slip law. We derive analytical solutions in terms of the Lambert W function. The effects of logarithmic slip on these flows are discussed, and comparisons of the results with their Navier-slip counterparts are made. |
| Databáze: | OpenAIRE |
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