First-order slip independence of a transverse sheet
= First-order slip independence of a transverse sheet
{title2=$\psi_1=(1+Y)e^{-Y}\sin(X-\tau)$}
For a dimensionless <Navier-slip Taylor swimming sheet>, the decaying first-harmonic <streamfunction> is $(1+Y)e^{-Y}\sin(X-\tau)$. Its tangential surface velocity and surface shear both vanish at $Y=0$. Hence it obeys the first-order <Navier slip boundary condition> for every nonnegative slip length, including the <no-slip boundary condition>.