ABSTRACT
According to the Navier boundary condition, the velocity slip is proportional to fluid velocity gradient at the wall:
0 0| / |y S yv L dv dy (3.1)
Here and in Fig. 3.1, Ls represents the “slip length” and has a dimension of length.
Because of the slippage, the average velocity in the channel pdfv increases. In a rectangular channel (of width >> heighth and viscosity of the fluid h ) due
to an applied pressure gradient of dp/dex: