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A note on the boundary layer equations with linear slip boundary condition. (English) Zbl 1148.76019
Summary: We study the effect of replacing the standard no-slip boundary condition with a nonlinear Navier boundary condition for boundary layer equations. The resulting equations contain an arbitrary index parameter, denoted by \(n\), and it is found that the case \(n=1\) corresponding to linear Navier boundary condition must be excluded. In this article we remedy this situation and show that the case \(n=1\) corresponds to a particular similarity solution, not included in the previous work by the authors.

76D10 Boundary-layer theory, separation and reattachment, higher-order effects
76M55 Dimensional analysis and similarity applied to problems in fluid mechanics
Full Text: DOI
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