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.

中文翻译：

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Lambert W 函数在具有对数壁面滑移的稳态剪切牛顿流中的应用

我们考虑了牛顿流体的各种粘度流动，即平面、环形和圆形库埃特流以及平面和轴对称泊肃叶流，存在遵循对数滑移定律的壁面滑移。我们根据 Lambert W 函数推导出解析解。讨论了对数滑移对这些流动的影响，并将结果与​​他们的纳维滑移对应物进行了比较。