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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.
MSC:
 76D10 Boundary-layer theory, separation and reattachment, etc. (incompressible viscous fluids) 76M55 Dimensional analysis and similarity (fluid mechanics)