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Zbl 1148.76019
Matthews, Miccal T.; Hill, James M.
A note on the boundary layer equations with linear slip boundary condition. (English)
[J] Appl. Math. Lett. 21, No. 8, 810-813 (2008). ISSN 0893-9659

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 2000:: *76D10 Boundary-layer theory (incompressible fluids)
76M55 Dimensional analysis and similarity

Keywords: Navier boundary condition; similarity solutions; index parameter

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